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Production of bottomonia states in proton+proton and heavy-ion collisions 质子+质子和重离子碰撞中底态的产生
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104044
Vineet Kumar , Prashant Shukla , Abhijit Bhattacharyya

In this work, we review the experimental and theoretical developments of bottomonia production in proton+proton and heavy-ion collisions. The bottomonia production process is proving to be one of the most robust processes to investigate the fundamental aspects of Quantum Chromodynamics at both low and high temperatures. The LHC experiments in the last decade have produced large statistics of bottomonia states in wide kinematic ranges in various collision systems. The bottomonia have three Υ S-states which are reconstructed in dilepton invariant mass channel with high mass resolution by LHC detectors and P-states are measured via their decay to S-states. We start with the details of measurements in proton+proton collisions and their understanding in terms of various effective theoretical models. Here we cover both the Tevatron and LHC measurements with s spanning from 1.8 TeV to 13 TeV. The bottomonia states have particularly been very good probes to understand strongly interacting matter produced in heavy-ion collisions. The Pb+Pb collisions have been performed at sNN = 2.76 TeV and 5.02 TeV at LHC. This led to the detailed study of the modification of bottomonia yields as a function of various observables and collision energy. At the same time, the improved results of bottomonia production became available from RHIC experiments which have proven to be useful for a quantitative comparison. A systematic study of bottomonia production in p+p, p+Pb and Pb+Pb has been very useful to understand the medium effects in these collision systems. We review some of the (if not all the) models of bottomonia evolution due to various processes in a large dynamically evolving medium and discuss these in comparison with the measurements.

本文综述了质子+质子和重离子碰撞产生底波的实验和理论进展。事实证明,在低温和高温下研究量子色动力学的基本方面,底onia生产过程是最可靠的过程之一。近十年来的大型强子对撞机实验已经在各种碰撞系统的大运动范围内产生了大量的底态统计数据。底粒子有三个Υ s态,它们由LHC探测器在高质量分辨率的双轻子不变质量通道中重建,并通过衰变到s态来测量p态。我们从质子+质子碰撞的测量细节开始,并根据各种有效的理论模型来理解它们。在这里,我们涵盖了Tevatron和LHC的测量,s从1.8 TeV到13 TeV。底波态是了解重离子碰撞中产生的强相互作用物质的非常好的探测器。在大型强子对撞机上分别在sNN = 2.76 TeV和5.02 TeV条件下进行了Pb+Pb碰撞。这导致了作为各种观测值和碰撞能量的函数的底部产量的修改的详细研究。同时,从RHIC实验中获得了底藻产量的改进结果,这对定量比较是有用的。系统研究p+p、p+Pb和Pb+Pb的底生现象,对了解这些碰撞体系中的介质效应具有重要意义。我们回顾了一些(如果不是全部的话)在一个大的动态发展的介质中由于各种过程的底栖进化模型,并与测量结果进行了比较。
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引用次数: 0
The lowest order constrained variational (LOCV) method for the many-body problems and its applications 多体问题的最低阶约束变分方法及其应用
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104047
Majid Modarres , Azar Tafrihi
<div><p>One always looks for a simplified technique and desirable formalism, to solve the Hamiltonian, and to find the wave function, energy, etc, of a many-body system. The lowest order constrained variational (<span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span>) method is designed such that, to fulfill the above requirements. The <span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span> formalism is based on the first two, i.e., <strong>lowest order</strong>, terms of the cluster expansion theory with the <span><math><mrow><mi>J</mi><mi>a</mi><mi>s</mi><mi>t</mi><mi>r</mi><mi>o</mi><mi>w</mi></mrow></math></span> correlation functions as its inputs. A <strong>constraint</strong> is imposed for the normalization of the total correlated two-body wave functions, which also forces the cluster expansion series to converge very rapidly. The <strong>variation</strong> of <span><math><mrow><mi>J</mi><mi>a</mi><mi>s</mi><mi>t</mi><mi>r</mi><mi>o</mi><mi>w</mi></mrow></math></span> correlation functions subjected to the above normalization constraint, leads to the sets of Euler–Lagrange equations, which generates the required correlation functions. In order to satisfy the normalization constraint exactly, one has to define the long-range behaviors, for the two-body correlation functions, i.e., the Pauli function. The primary developments of <span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span> formalism, and some of its applications were reviewed in this journal by Max Irvine in 1981. Since then (1981–2022), the various extensions and applications of the <span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span> method are reported through the several published articles (nearly 180 items), which are the subjects of this review. (i) It is shown that the <span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span> results can be, as good as, the various more complicated and computer time-consuming techniques, such as the Fermi <span><math><mrow><mi>h</mi><mi>y</mi><mi>p</mi><mi>e</mi><mi>r</mi><mi>n</mi><mi>e</mi><mi>t</mi><mi>t</mi><mi>e</mi><mi>d</mi></mrow></math></span> chain (<span><math><mrow><mi>F</mi><mi>H</mi><mi>N</mi><mi>C</mi></mrow></math></span>), Monte Carlo (<span><math><mrow><mi>M</mi><mi>C</mi></mrow></math></span>), G-matrix, etc, calculations. (ii) Moreover, the <span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span> method is further developed to deal with the more sophisticated interactions, such as the <span><math><mrow><mi>A</mi><mi>V</mi><mn>18</mn></mrow></math></span>, <span><math><mrow><mi>U</mi><mi>V</mi><mn>14</mn></mrow></math></span>, etc, nucleon–nucleon potentials, using the state-dependent correlation functions, and applicable to perform the finite temperature calculations. The extended <span><math><mrow><mi>L</mi><mi>O</mi><mi>C</mi><mi>V</mi></mrow></math></span>(<span><math><mrow>
人们总是在寻找一种简化的技术和理想的形式,来求解哈密顿函数,并找到多体系统的波函数、能量等。为了满足上述要求,设计了最低阶约束变分(LOCV)方法。LOCV形式是基于Jastrow相关函数作为输入的聚类展开理论的前两个项,即最低阶项。对总相关两体波函数的归一化施加了约束,这也迫使簇展开级数收敛得非常快。在上述归一化约束下,Jastrow相关函数的变化得到欧拉-拉格朗日方程组,这些方程组生成所需的相关函数。为了精确地满足归一化约束,必须定义两体相关函数的远程行为,即泡利函数。1981年,Max Irvine在本刊上综述了LOCV形式主义的主要发展及其一些应用。从那时起(1981-2022),通过几篇已发表的文章(近180项)报道了LOCV方法的各种扩展和应用,这些文章是本次综述的主题。(i)证明了LOCV的结果可以像费米超网络链(FHNC)、蒙特卡罗(MC)、g矩阵等各种更复杂和计算机耗时的技术一样好。(ii)此外,利用状态相关函数进一步发展了LOCV方法,以处理更复杂的相互作用,如AV18、UV14等核子-核子势,并适用于执行有限温度计算。对于状态无关的媒体,还引入了扩展的LOCV(ELOCV)方法。(iii)通过计算具有状态相关函数的三体聚类序列来检验其收敛性,这证实了旧的(1979)状态平均预测。最后,对具有和不具有三体力、有限核、液氦3、中子星等核和β -稳定物质进行了应用,并与其他多体技术进行了比较。正如我们之前所说的,在这次审查中,我们肯定会通过上述大部分项目。
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The &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;O&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; formalism is based on the first two, i.e., &lt;strong&gt;lowest order&lt;/strong&gt;, terms of the cluster expansion theory with the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;o&lt;/mi&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; correlation functions as its inputs. A &lt;strong&gt;constraint&lt;/strong&gt; is imposed for the normalization of the total correlated two-body wave functions, which also forces the cluster expansion series to converge very rapidly. The &lt;strong&gt;variation&lt;/strong&gt; of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;o&lt;/mi&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; correlation functions subjected to the above normalization constraint, leads to the sets of Euler–Lagrange equations, which generates the required correlation functions. In order to satisfy the normalization constraint exactly, one has to define the long-range behaviors, for the two-body correlation functions, i.e., the Pauli function. The primary developments of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;O&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; formalism, and some of its applications were reviewed in this journal by Max Irvine in 1981. Since then (1981–2022), the various extensions and applications of the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;O&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; method are reported through the several published articles (nearly 180 items), which are the subjects of this review. (i) It is shown that the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;O&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; results can be, as good as, the various more complicated and computer time-consuming techniques, such as the Fermi &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;h&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; chain (&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;), Monte Carlo (&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;), G-matrix, etc, calculations. (ii) Moreover, the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;O&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; method is further developed to deal with the more sophisticated interactions, such as the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;mn&gt;18&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, etc, nucleon–nucleon potentials, using the state-dependent correlation functions, and applicable to perform the finite temperature calculations. The extended &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;O&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mi&gt;V&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;\u0000(&lt;span&gt;&lt;math&gt;&lt;mrow&gt;","PeriodicalId":412,"journal":{"name":"Progress in Particle and Nuclear Physics","volume":"131 ","pages":"Article 104047"},"PeriodicalIF":9.6,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"1869833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Precision studies of QCD in the low energy domain of the EIC EIC低能域QCD的精度研究
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104032
V.D. Burkert , L. Elouadrhiri , A. Afanasev , J. Arrington , M. Contalbrigo , W. Cosyn , A. Deshpande , D.I. Glazier , X. Ji , S. Liuti , Y. Oh , D. Richards , T. Satogata , A. Vossen , H. Abdolmaleki , A. Albataineh , C.A. Aidala , C. Alexandrou , H. Avagyan , A. Bacchetta , J. Zhou

This White Paper aims at highlighting the important benefits in the science reach of the EIC. High luminosity operation is generally desirable, as it enables producing and harvesting scientific results in a shorter time period. It becomes crucial for programs that would require many months or even years of operation at lower luminosity.

本白皮书旨在强调EIC在科学领域的重要利益。高亮度操作通常是可取的,因为它可以在更短的时间内产生和收获科学结果。对于需要在较低亮度下运行数月甚至数年的程序来说,这一点至关重要。
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引用次数: 15
d∗(2380) in a chiral constituent quark model 手性组分夸克模型中的D * (2380)
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104045
Yubing Dong , Pengnian Shen , Zongye Zhang
<div><p>After a brief review of the experimental findings of <span><math><mrow><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mn>2380</mn><mo>)</mo></mrow></mrow></math></span> and several theoretical efforts to interpret its structure, the study of <span><math><mrow><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mn>2380</mn><mo>)</mo></mrow></mrow></math></span> on the quark–gluon degrees of freedom is presented in detail. On the basis of the <span><math><mrow><mi>S</mi><mi>U</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span><span> chiral constituent quark model and Resonating Group Method, the mass, width, wave function, and partial widths of almost all possible strong decays of the </span><span><math><mrow><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mn>2380</mn><mo>)</mo></mrow></mrow></math></span> state with the <span><math><mrow><mi>Δ</mi><mi>Δ</mi><mo>+</mo><msub><mrow><mi>C</mi></mrow><mrow><mn>8</mn></mrow></msub><msub><mrow><mi>C</mi></mrow><mrow><mn>8</mn></mrow></msub></mrow></math></span> structure are evaluated. The obtained results agree with the data quite well, which implies that <span><math><mrow><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mn>2380</mn><mo>)</mo></mrow></mrow></math></span><span> could be assigned as a compact hexaquark system with the hidden-color component being dominant. The electromagnetic characteristics of </span><span><math><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span><span>, such as the charge distribution, charge radius, multipole moment, and etc. are further calculated. Because of the sensitivity of these physical quantities to different interpretations of </span><span><math><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span>, they can be used as additional physical quantities to distinguish the structures of <span><math><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span>. Moreover, the production of <span><math><msup><mrow><mi>d</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> from the <span><math><mrow><mi>γ</mi><mi>d</mi></mrow></math></span> reaction, from the <span><math><mrow><mi>Υ</mi><mrow><mo>(</mo><mi>n</mi><mi>S</mi><mo>)</mo></mrow></mrow></math></span> decays in the <span><math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math></span> annihilations, and from the <span><math><mrow><mi>p</mi><mover><mrow><mi>p</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></math></span> annihilation at forthcoming <span><math><mover><mrow><mi>P</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>anda are also predicted and calculated. According to these predictions, experiments on Belle II, <span><math><mover><mrow><mi>P</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>anda, BEPC, and other lar
在简要回顾了d *(2380)的实验结果和解释其结构的几个理论努力之后,详细介绍了d *(2380)对夸克-胶子自由度的研究。基于SU(3)手性组分夸克模型和共振群方法,对具有ΔΔ+C8C8结构的d *(2380)态几乎所有可能的强衰变的质量、宽度、波函数和部分宽度进行了计算。所得结果与实验数据吻合较好,表明d *(2380)可以被归为一个以隐色分量为主的紧致六夸克体系。进一步计算了d *的电荷分布、电荷半径、多极矩等电磁特性。由于这些物理量对d *的不同解释的敏感性,它们可以用作额外的物理量来区分d *的结构。此外,还预测和计算了γ - d反应、e+e−湮灭中的Υ(nS)衰变和即将到来的P - anda的pp湮灭产生的d *。根据这些预测,在Belle II、P�anda、BEPC和其他大型科学设施上的实验可以用来寻找d *(2380)共振并揭示其性质。
{"title":"d∗(2380) in a chiral constituent quark model","authors":"Yubing Dong ,&nbsp;Pengnian Shen ,&nbsp;Zongye Zhang","doi":"10.1016/j.ppnp.2023.104045","DOIUrl":"https://doi.org/10.1016/j.ppnp.2023.104045","url":null,"abstract":"&lt;div&gt;&lt;p&gt;After a brief review of the experimental findings of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;2380&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and several theoretical efforts to interpret its structure, the study of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;2380&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; on the quark–gluon degrees of freedom is presented in detail. On the basis of the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;span&gt; chiral constituent quark model and Resonating Group Method, the mass, width, wave function, and partial widths of almost all possible strong decays of the &lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;2380&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; state with the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; structure are evaluated. The obtained results agree with the data quite well, which implies that &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;2380&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;span&gt; could be assigned as a compact hexaquark system with the hidden-color component being dominant. The electromagnetic characteristics of &lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;&lt;span&gt;, such as the charge distribution, charge radius, multipole moment, and etc. are further calculated. Because of the sensitivity of these physical quantities to different interpretations of &lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;, they can be used as additional physical quantities to distinguish the structures of &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;. Moreover, the production of &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt; from the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; reaction, from the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Υ&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; decays in the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; annihilations, and from the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̄&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; annihilation at forthcoming &lt;span&gt;&lt;math&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̄&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;/math&gt;&lt;/span&gt;anda are also predicted and calculated. According to these predictions, experiments on Belle II, &lt;span&gt;&lt;math&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;̄&lt;/mo&gt;&lt;/mrow&gt;&lt;/mover&gt;&lt;/math&gt;&lt;/span&gt;anda, BEPC, and other lar","PeriodicalId":412,"journal":{"name":"Progress in Particle and Nuclear Physics","volume":"131 ","pages":"Article 104045"},"PeriodicalIF":9.6,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"1750375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Chiral spin symmetry and hot/dense QCD 手性自旋对称与热/密量子光盘
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104049
L.Ya. Glozman

Above the chiral symmetry restoration crossover around Tch155 MeV a new regime arises in QCD, a stringy fluid, which is characterized by an approximate chiral spin symmetry of the thermal partition function. This symmetry is not a symmetry of the Dirac Lagrangian and is a symmetry of the electric part of the QCD Lagrangian. In this regime the medium consists of the chirally symmetric and approximately chiral spin symmetric hadrons that are made of the chirally symmetric quarks connected into the color singlet compounds by a confining chromoelectric field. This regime is evidenced by the approximate chiral spin symmetry of the spatial and temporal correlators and by the breakdown of the thermal perturbation theory at the crossover between the partonic (the quark–gluon plasma) and the stringy fluid regimes at 3Tch. The chiral spin symmetry smoothly disappears above 3Tch which means that the chromoelectric confining interaction gets screened. A direct evidence that the stringy fluid medium consists of densely packed hadrons is the pion spectral function that shows a distinct pion state and its first radial excitation above Tch. Another direct evidence of the hadron degrees of freedom in the stringy fluid is the bottomonium spectrum with the 1S, 2S, 3S and 1P, 2P radial and orbital excitations that become broad with temperature. The hadrons between Tch and 3Tch in the stringy fluid interact strongly which makes the stringy fluid more a liquid rather than a gas. We discuss how this chiral spin symmetric regime extends into the finite chemical potentials domain and present a qualitative sketch of the QCD phase diagram.

在ch ~ 155 MeV附近的手性对称性恢复交叉之上,QCD(一种弦状流体)出现了一个新的区域,其特征是热配分函数的近似手性自旋对称。这种对称不是狄拉克拉格朗日量的对称,而是QCD拉格朗日量的电部分的对称。在这个体系中,介质由手性对称和近似手性自旋对称强子组成,这些强子是由手性对称夸克组成的,它们通过一个限制性色电场连接成彩色单线态化合物。时空相关器的近似手性自旋对称性和热扰动理论在约3Tch时在部分子(夸克-胶子等离子体)和弦流体机制交叉处的崩溃证明了这一机制。手性自旋对称性在~ 3Tch以上平滑地消失,这意味着色电约束相互作用被屏蔽。弦流体介质由密集排列的强子组成的直接证据是介子谱函数,它显示出一个明显的介子态和它在Tch以上的第一个径向激发。弦状流体中强子自由度的另一个直接证据是具有1S, 2S, 3S和1P, 2P径向和轨道激发的底氢光谱,它们随着温度的升高而变宽。弦状流体中介于Tch和~ 3Tch之间的强子相互作用强烈,使弦状流体更像液体而不是气体。我们讨论了这种手性自旋对称体系如何扩展到有限化学势域,并给出了QCD相图的定性草图。
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引用次数: 3
Emerging technologies for cancer therapy using accelerated particles 利用加速粒子治疗癌症的新兴技术
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104046
Christian Graeff , Lennart Volz , Marco Durante

Cancer therapy with accelerated charged particles is one of the most valuable biomedical applications of nuclear physics. The technology has vastly evolved in the past 50 years, the number of clinical centers is exponentially growing, and recent clinical results support the physics and radiobiology rationale that particles should be less toxic and more effective than conventional X-rays for many cancer patients. Charged particles are also the most mature technology for clinical translation of ultra-high dose rate (FLASH) radiotherapy. However, the fraction of patients treated with accelerated particles is still very small and the therapy is only applied to a few solid cancer indications. The growth of particle therapy strongly depends on technological innovations aiming to make the therapy cheaper, more conformal and faster. The most promising solutions to reach these goals are superconductive magnets to build compact accelerators; gantryless beam delivery; online image-guidance and adaptive therapy with the support of machine learning algorithms; and high-intensity accelerators coupled to online imaging. Large international collaborations are needed to hasten the clinical translation of the research results.

利用加速带电粒子治疗癌症是核物理最有价值的生物医学应用之一。在过去的50年里,这项技术得到了巨大的发展,临床中心的数量呈指数级增长,最近的临床结果支持物理学和放射生物学的基本原理,即对许多癌症患者来说,粒子应该比传统的x射线毒性更小,更有效。带电粒子也是超高剂量率(FLASH)放疗临床转化最成熟的技术。然而,使用加速粒子治疗的患者比例仍然很小,而且这种疗法只适用于少数实体癌症适应症。粒子治疗的发展很大程度上依赖于旨在使治疗更便宜、更适形和更快的技术创新。实现这些目标最有希望的解决方案是超导磁体来构建紧凑型加速器;无龙门梁输送;基于机器学习算法的在线图像引导和自适应治疗;高强度加速器与在线成像相结合。为了加快研究成果的临床转化,需要大规模的国际合作。
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引用次数: 1
Heavy baryons in compact stars 致密恒星中的重子
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-07-01 DOI: 10.1016/j.ppnp.2023.104041
Armen Sedrakian , Jia Jie Li , Fridolin Weber

We review the physics of hyperons and Δ-resonances in dense matter in compact stars. The covariant density functional approach to the equation of state and composition of dense nuclear matter in the mean-field Hartree and Hartree–Fock approximation is presented, with regimes covering cold β-equilibrated matter, hot and dense matter with and without neutrinos relevant for the description of supernovas and binary neutron star mergers, as well as dilute expanding nuclear matter in collision experiments. We discuss the static properties of compact stars with hyperons and Δ-resonances in light of constraints placed in recent years by the multimessenger astrophysics of compact stars on the compact stars’ masses, radii, and tidal deformabilities. The effects of kaon condensation and strong magnetic fields on the composition of hypernuclear stars are also discussed. The properties of rapidly rotating compact hypernuclear stars are discussed and confronted with the observations of 2.5-2.8 solar mass compact objects in gravitational wave events. We further discuss the cooling of hypernuclear stars, the neutrino emission reactions, hyperonic pairing, and the mass hierarchy in the cooling curves that arises due to the onset of hyperons. The effects of hyperons and Δ-resonances on the equation of state of hot nuclear matter in the dense regime, relevant for the transient astrophysical event and in the dilute regime relevant to the collider physics is discussed. The review closes with a discussion of universal relations among the integral parameters of hot and cold hypernuclear stars and their implications for the analysis of binary neutron star merger events.

我们回顾了致密恒星中致密物质中的超子和Δ-resonances的物理学。提出了致密核物质在平均场Hartree和Hartree - fock近似下的状态和组成方程的协变密度泛函数方法,涵盖了与超新星和双中子星并合描述相关的冷β平衡物质、含和不含中微子的热和致密物质,以及碰撞实验中稀释膨胀核物质。本文结合近年来致密恒星多信使天体物理学对致密恒星质量、半径和潮汐变形能力的限制,讨论了具有超子和Δ-resonances的致密恒星的静态特性。讨论了介子凝聚和强磁场对超核恒星组成的影响。讨论了快速旋转致密超核恒星的性质,并结合引力波事件中2.5 ~ 2.8太阳质量致密天体的观测结果进行了探讨。我们进一步讨论了超核恒星的冷却,中微子发射反应,超子配对,以及由于超子的开始而产生的冷却曲线中的质量层次。讨论了超子和Δ-resonances对与瞬态天体物理事件有关的致密区和与对撞机物理有关的稀区热核物质状态方程的影响。最后讨论了热超核星和冷超核星积分参数之间的普遍关系及其对双中子星合并事件分析的意义。
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引用次数: 13
Strong-field physics in QED and QCD: From fundamentals to applications QED和QCD中的强场物理:从基础到应用
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-06-24 DOI: 10.1016/j.ppnp.2023.104068
Koichi Hattori , Kazunori Itakura , Sho Ozaki

We provide a pedagogical review article on fundamentals and applications of the quantum dynamics in strong electromagnetic fields in QED and QCD. The fundamentals include the basic picture of the Landau quantization and the resummation techniques applied to the class of higher-order diagrams that are enhanced by large magnitudes of the external fields. We then discuss observable effects of the vacuum fluctuations in the presence of the strong fields, which consist of the interdisciplinary research field of nonlinear QED. We also discuss extensions of the Heisenberg–Euler effective theory to finite temperature/density and to non-Abelian theories with some applications. Next, we proceed to the paradigm of the dimensional reduction emerging in the low-energy dynamics in the strong magnetic fields. The mechanisms of superconductivity, the magnetic catalysis of the chiral symmetry breaking, and the Kondo effect are addressed from a unified point of view in terms of the renormalization-group method. We provide an up-to-date summary of the lattice QCD simulations in magnetic fields for the chiral symmetry breaking and the related topics as of the end of 2022. Finally, we discuss novel transport phenomena induced by chiral anomaly and the axial-charge dynamics. Those discussions are supported by a number of appendices.

本文就强电磁场中量子动力学的基本原理及其在QED和QCD中的应用进行了教学综述。基础包括朗道量化的基本图像和应用于高阶图类的恢复技术,这些高阶图被大幅度的外场增强。然后讨论了强场存在下真空涨落的可观测效应,这是非线性QED的跨学科研究领域。我们还讨论了海森堡-欧拉有效理论在有限温度/密度和非阿贝尔理论中的推广及其一些应用。接下来,我们继续讨论在强磁场中低能动力学中出现的降维范式。用重整化基团的方法从统一的角度讨论了超导机制、手性对称性破缺的磁催化和近藤效应。我们提供了截至2022年底的手性对称性破缺的磁场晶格QCD模拟和相关主题的最新总结。最后讨论了由手性异常和轴电荷动力学引起的新型输运现象。这些讨论得到了一些附录的支持。
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引用次数: 6
Corrigendum to “Photonuclear reactions—From basic research to applications” [Prog. Part. Nucl. Phys. 122 (2022) 1-96/103903] “光核反应——从基础研究到应用”的勘误表。部分。诊断。物理学报,22 (2):1- 6/ 3 [j]
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-06-15 DOI: 10.1016/j.ppnp.2023.104059
A. Zilges, D.L. Balabanski, J. Isaak, N. Pietralla
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引用次数: 0
Structure formation during phase transitions in strongly interacting matter 强相互作用物质相变过程中的结构形成
IF 9.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR Pub Date : 2023-05-01 DOI: 10.1016/j.ppnp.2023.104030
D.N. Voskresensky
<div><p>A broad range of problems associated with phase transitions in systems characterized by the strong interaction between particles and with formation of structures is reviewed. A general phenomenological mean-field model is constructed describing phase transitions of the first and the second order to the homogeneous, <span><math><mrow><msub><mrow><mi>k</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mn>0</mn></mrow></math></span>, and inhomogeneous, <span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>→</mo></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>≠</mo><mn>0</mn></mrow></math></span> , states, the latter may occur even in case, when the interaction is translation-invariant. Due to fluctuations, the phase transition to the state, <span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>→</mo></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>≠</mo><mn>0</mn></mrow></math></span>, becomes the transition of the first order. Various specific features of the phase transitions to the state <span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>→</mo></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>≠</mo><mn>0</mn></mrow></math></span> are considered such as the anisotropic spectrum of excitations, a possibility of the formation of various structures including running and standing waves, three-axis structures, the chiral waves, pasta mixed phases, etc. Next, a formal transition to hydrodynamical variables is performed. Then focus is made on description of the dynamics of the order parameter at the phase transitions to the states with <span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>→</mo></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mn>0</mn></mrow></math></span> and <span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>→</mo></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>≠</mo><mn>0</mn></mrow></math></span><span><span>. In case of the phase transition to the inhomogeneous state the dynamics has specific features. Next the non-ideal hydrodynamical description of the phase transitions of the liquid–gas type in nuclear systems is performed. The ordinary Ginzburg–Landau model proves to be not applicable for description of an initial inertial stage of the seeds. Surface tension, viscosity and thermal conductivity are driving forces of phase transitions. Quasi-periodic structures are developed during the transitions. Next, the specific example of the pion </span>condensation phase transition to the </span><span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>→</mo></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>≠</mo><mn>0</mn></mrow></math></span><span> state in dense, cold or warm nuclear matter is considered and then the nuclear system at high temperature and small baryon chemical potential is studied, when baryons become completely blurred and light bosons, e.g., pions, may condense either in </span><span><math><mrow><msub><mrow><mover><mrow><mi>k</mi></mrow><mo>
本文综述了以粒子间强相互作用和结构形成为特征的系统中与相变有关的广泛问题。构造了一阶和二阶相变到齐次态(k0=0)和非齐次态(k→0≠0)的一般现象学平均场模型,后者即使在相互作用为平移不变的情况下也可能发生。由于涨落,相变到k→0≠0的状态成为一阶相变。考虑了k→0≠0相变的各种具体特征,如激发的各向异性谱,形成各种结构的可能性,包括行波和驻波,三轴结构,手性波,面食混合相等。接下来,执行到流体动力变量的正式转换。然后重点描述了相变到k→0=0和k→0≠0状态时序参量的动态变化。在相变到非均匀态的情况下,动力学具有特定的特征。其次,对核系统中液气型相变进行了非理想流体力学描述。证明了普通的金兹堡-朗道模型不适用于描述种子的初始惯性阶段。表面张力、粘度和热导率是相变的驱动力。在跃迁过程中形成了准周期结构。其次,考虑了稠密、冷或热核物质中介子凝聚相变到k→0≠0状态的具体例子,然后研究了高温、小重子化学势下的核系统,此时重子完全模糊,轻玻色子如介子可以在k→0=0或k→0≠0状态下凝聚。然后,研究了k→0=0或k→0≠0状态下的波美兰丘克不稳定性和玻色凝聚现象,讨论了亚稳稀核态存在的可能性。其次,考虑了运动介质中k→0≠0状态下玻色激发凝聚的可能性。然后研究了具有动态固定粒子数的介子的玻色-爱因斯坦凝聚。最后,通过一个由核子填充的盒子突然破裂的例子,证明了特定的纯非平衡效应。
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A general phenomenological mean-field model is constructed describing phase transitions of the first and the second order to the homogeneous, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, and inhomogeneous, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; , states, the latter may occur even in case, when the interaction is translation-invariant. Due to fluctuations, the phase transition to the state, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, becomes the transition of the first order. Various specific features of the phase transitions to the state &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; are considered such as the anisotropic spectrum of excitations, a possibility of the formation of various structures including running and standing waves, three-axis structures, the chiral waves, pasta mixed phases, etc. Next, a formal transition to hydrodynamical variables is performed. Then focus is made on description of the dynamics of the order parameter at the phase transitions to the states with &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;span&gt;&lt;span&gt;. In case of the phase transition to the inhomogeneous state the dynamics has specific features. Next the non-ideal hydrodynamical description of the phase transitions of the liquid–gas type in nuclear systems is performed. The ordinary Ginzburg–Landau model proves to be not applicable for description of an initial inertial stage of the seeds. Surface tension, viscosity and thermal conductivity are driving forces of phase transitions. Quasi-periodic structures are developed during the transitions. Next, the specific example of the pion &lt;/span&gt;condensation phase transition to the &lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;span&gt; state in dense, cold or warm nuclear matter is considered and then the nuclear system at high temperature and small baryon chemical potential is studied, when baryons become completely blurred and light bosons, e.g., pions, may condense either in &lt;/span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;k&lt;/mi&gt;&lt;/mrow&gt;&lt;mo&gt;","PeriodicalId":412,"journal":{"name":"Progress in Particle and Nuclear Physics","volume":"130 ","pages":"Article 104030"},"PeriodicalIF":9.6,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"3452573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
期刊
Progress in Particle and Nuclear Physics
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