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Study of nuclear structure properties of some neutron-rich even-even Titanium isotopes 富中子偶偶钛同位素的核结构性质研究
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-09 DOI: 10.1016/j.nuclphysa.2025.123247
Saima Sadiq, Rani Devi, S.K. Khosa
The large-scale shell-model calculations have been performed for neutron-rich even-even titanium isotopes by employing two model spaces: pf (I) and fpg9/2 (II) and various effective interactions. The energy spectra and electromagnetic quantities have been obtained and compared with the available experimental data. The theoretical results on excitation energies and B(E2) values of 21+ state confirm the existence of subshell closure at N = 32 and the absence of subshell closure at N = 34. Besides, the B(E2) and B(M1) values of excited states are also predicted for which experimental data are not available. These predictions may serve as a valuable reference for future experimental comparisons.
采用pf (I)和fpg9/2 (II)两个模型空间和各种有效相互作用,对富中子偶钛同位素进行了大规模壳层模型计算。得到了能量谱和电磁量,并与已有的实验数据进行了比较。21+态的激发能和B(E2)值的理论结果证实了在N = 32处存在亚壳闭合,而在N = 34处不存在亚壳闭合。此外,还对没有实验数据的激发态的B(E2)和B(M1)值进行了预测。这些预测可作为未来实验比较的有价值参考。
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引用次数: 0
Connecting neutron skin thickness and neutron star observables through isovector scalar delta meson in relativistic framework 在相对论框架下用等矢量标量δ介子连接中子蒙皮厚度和中子星观测值
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-09 DOI: 10.1016/j.nuclphysa.2025.123238
Sunil Kumar, Mukul Kumar, Raj K. Jagota, Shashi K. Dhiman
Recent developments in the parity-violating electron scattering experiments on 48Ca (CREX) and for 208Pb (PREX-II) has provided new insight on the neutron skin thickness. These findings reveal several viewpoints on nuclear matter parameters (NMPs) such as symmetry energy (J) and its linear density dependency (L), which are directly related to the equation of state (EoS) of asymmetric dense matter. While PREX results lead to stiffer L and hence necessitate a stiffer EoS, the CREX experiments favor softer L and hence a softer EoS. Therefore, it is challenging to produce neutron skin of both (48Ca and 208Pb) in relativistic mean field (RMF) models simultaneously. To address this issue, we propose relativistic interactions based on RMF model comprising of self and cross interactions of σ, ω, ρ and δ mesons. These interactions are consistent with the results of both experiments, and they accurately replicate experimental data related to the ground state properties, such as binding energies (BE) and charge radii (rch), of both closed and open shell nuclei. We also compute the EoSs comprising of npeμ matter under β-equilibrium condition for the proposed interactions and hence calculate neutron star observables.
在48Ca (CREX)和208Pb (PREX-II)上的奇偶电子散射实验的最新进展为中子趋肤厚度提供了新的认识。这些发现揭示了核物质参数(nmp)的几种观点,如对称能(J)及其线性密度依赖性(L),它们与非对称致密物质的状态方程(EoS)直接相关。PREX结果导致L变硬,因此需要更硬的EoS,而CREX实验倾向于更软的L,因此更软的EoS。因此,在相对论平均场(RMF)模型中同时产生(48Ca和208Pb)的中子皮是一项挑战。为了解决这个问题,我们提出了基于RMF模型的相对论相互作用,该模型由自相互作用和σ, ω, ρ和δ介子的交叉相互作用组成。这些相互作用与两个实验的结果一致,它们准确地复制了与基态性质相关的实验数据,如闭合和开放壳层核的结合能(BE)和电荷半径(rch)。我们还计算了在β-平衡条件下由npeμ物质组成的相互作用的EoSs,从而计算了中子星的可观测值。
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引用次数: 0
Leptodermic corrections to the TOV equations and nuclear astrophysics within the effective surface approximation 有效表面近似下TOV方程和核天体物理学的细端修正
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-05 DOI: 10.1016/j.nuclphysa.2025.123239
A.G. Magner , S.P. Maydanyuk , A. Bonasera , H. Zheng , T. Depastas , A.I. Levon , U.V. Grygoriev
The macroscopic model for a neutron star (NS) as a liquid drop at the equilibrium is used to extend the Tolman-Oppenheimer-Volkoff (TOV) equations taking into account the gradient terms responsible for the system surface. The parameters of the Schwarzschild metric in the spherical case are found with these surface corrections to the known leading (zero) order of the leptodermic approximation a/R<<1, where a is the NS effective-surface (ES) thickness, and R is the effective NS radius. The energy density E is considered in a general form including the functions of the particle number density and of its gradient terms. The macroscopic gravitational component Φ(ρ) of the energy density is taken into account in the simplest form as expansion in powers of ρρ, where ρ is the saturation density, up to second order, in terms of its contributions to the separation particle energy and incompressibility. Density distributions ρ across the NS ES in the normal direction to the ES, which are derived in the simple analytical form at the same leading approximation, was used for the derivation of the modified TOV (MTOV) equations by accounting for their NS surface corrections. The MTOV equations are analytically solved at first order and the results are compared with the standard TOV approach of the zero order.
考虑到系统表面的梯度项,采用中子星在平衡状态下的液滴宏观模型对TOV方程进行了扩展。球面情况下的史瓦西度规参数是用已知的细端近似a/R<;<;1的前导(零)阶的曲面修正得到的,其中a是NS有效表面(ES)厚度,R是有效NS半径。能量密度E的一般形式包括粒子数密度及其梯度项的函数。能量密度的宏观引力分量Φ(ρ)以最简单的形式考虑为ρ−ρ的幂形式,其中ρ是饱和密度,直到二阶,就其对分离粒子能量和不可压缩性的贡献而言。在相同的前导近似下,以简单解析形式导出了沿正法方向的NS ES上的密度分布ρ,并通过计算其NS表面修正来推导修正的TOV (MTOV)方程。采用一阶解析方法求解了MTOV方程,并将求解结果与零阶标准TOV方法进行了比较。
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引用次数: 0
Nuclear mass density effect of 27Al and 28Si nuclei in nuclear reactions 27Al和28Si核在核反应中的质量密度效应
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-05 DOI: 10.1016/j.nuclphysa.2025.123240
F.R. Vasconcelos, G.F.D. Abreu, E.N. Cardozo, J. Lubian
In a recent study, diffuseness parameters of am=0.62fm and am=0.65fm were proposed for the nuclear matter density of 28Si and 27Al, respectively, based on the two-parameter Fermi distribution. These values exceed the systematic value am=0.56fm, commonly adopted in the São Paulo potential. To assess the validity of the proposed parameters, we performed coupled-channel calculations for the systems 9Be+28Si, 14N+28Si, 13C+28Si, 9Be+27Al, 14N+27Al, and 28Si+27Al at energies 2-3 times the Coulomb barrier. The analyses were carried out using the FRESCO code, with the Sao Paulo Potential and Woods-Saxon potential used as the optical potential. A good description of elastic angular distributions was achieved with the systematic nuclear matter density diffuseness value of am=0.56fm.
在最近的一项研究中,基于双参数费米分布,分别提出了28Si和27Al核物质密度am=0.62fm和am=0.65fm的扩散参数。这些值超过了圣保罗电势通常采用的系统值am=0.56fm。为了评估所提出参数的有效性,我们对9Be+28Si、14N+28Si、13C+28Si、9Be+27Al、14N+27Al和28Si+27Al系统进行了能量为库仑势垒2-3倍的耦合通道计算。使用FRESCO代码进行分析,使用圣保罗势和伍兹-撒克逊势作为光势。系统核物质密度扩散值am=0.56fm,较好地描述了弹性角分布。
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引用次数: 0
Possible universal limit for valence parton distributions 价部子分布的可能普遍极限
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-04 DOI: 10.1016/j.nuclphysa.2025.123243
Christopher Leon , Misak Sargsian
We report the observation of the existence of a possible universal limit for valence parton distributions that should exist once partonic degrees of freedom are relevant for high energy scattering from strongly interacting bound systems like a nucleon, meson or a few nucleon system at very short distances. Our observation is based on the notion that the Bjorken x weighted valence parton distribution function has a peak, xp, that characterizes the average momentum fraction carried out by the valence quarks in the system. Within the residual mean-field model of the valence quark distribution we found that xp has an upper limit: xp12(nV1), where nV is the number of valence quarks in the cluster embedded in the strongly interacting environment of the hadron. The existence of such a limit imposes a new constraint on choosing the starting resolution scale Q0 for PDFs. Our prediction for the nucleon is that xpQQ014, which is in agreement with all the available valence PDFs that employ the standard approach for selecting starting Q0. We also demonstrate how the existence of this limit can be used to verify the onset of quark-cluster structures in short range nucleon correlations in nuclei.
我们报告了对价部子分布可能存在的普遍极限的观察,一旦部子自由度与强相互作用束缚系统(如核子、介子或几个核子系统)在很短距离上的高能散射相关,就应该存在价部子分布的可能普遍极限。我们的观察是基于这样一个概念,即Bjorken x加权价夸克分布函数有一个峰值xp,它表征了系统中价夸克的平均动量分数。在价夸克分布的剩余平均场模型中,我们发现xp有一个上限:xp≤12(nV−1),其中nV是嵌入强子强相互作用环境中的价夸克簇的数量。这种极限的存在对pdf的起始分辨率尺度Q0的选择提出了新的约束。我们对核子的预测是xp∣Q→Q0≤14,这与采用标准方法选择起始Q0的所有可用价态pdf一致。我们还演示了如何利用这一极限的存在来验证原子核中短距离核子相关中夸克簇结构的起始。
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引用次数: 0
Alpha process nucleosynthesis and sensitivity analysis in SiRoP SiRoP α过程核合成及敏感性分析
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-04 DOI: 10.1016/j.nuclphysa.2025.123242
Jose Trujillo, Rachid Ouyed
The r-process nucleosynthesis (in explosive astrophysical events) is responsible for about half of the heavy elements observed in the universe. However, r-process outputs in the literature are difficult to replicate and vary across studies due to differences in nuclear mass models or initial conditions (e.g., seed nuclei). We will review the SiRoP code for r-process nucleosynthesis, which now includes an alpha-capture module that allows for a variety of initial conditions and a nuclear sensitivity module to test how changes in nuclear masses affect r-process abundance patterns. Additionally, we will examine how different sensitivity metrics influence this behavior.
r过程核合成(在爆炸性天体物理事件中)是宇宙中观测到的大约一半重元素的来源。然而,由于核质量模型或初始条件(如种子核)的差异,文献中的r过程输出难以复制,并且在不同的研究中存在差异。我们将回顾r-过程核合成的SiRoP代码,它现在包括一个允许各种初始条件的α捕获模块和一个核灵敏度模块,以测试核质量的变化如何影响r-过程丰度模式。此外,我们将研究不同的灵敏度指标如何影响这种行为。
{"title":"Alpha process nucleosynthesis and sensitivity analysis in SiRoP","authors":"Jose Trujillo,&nbsp;Rachid Ouyed","doi":"10.1016/j.nuclphysa.2025.123242","DOIUrl":"10.1016/j.nuclphysa.2025.123242","url":null,"abstract":"<div><div>The r-process nucleosynthesis (in explosive astrophysical events) is responsible for about half of the heavy elements observed in the universe. However, r-process outputs in the literature are difficult to replicate and vary across studies due to differences in nuclear mass models or initial conditions (e.g., seed nuclei). We will review the SiRoP code for <span><math><mi>r</mi></math></span>-process nucleosynthesis, which now includes an alpha-capture module that allows for a variety of initial conditions and a nuclear sensitivity module to test how changes in nuclear masses affect <span><math><mi>r</mi></math></span>-process abundance patterns. Additionally, we will examine how different sensitivity metrics influence this behavior.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123242"},"PeriodicalIF":2.5,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145045441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Systematics of reduced B(E3) transition probabilities for E3 transitions in even-A nuclei in 50 ≤ Z ≤ 92 region 50≤Z≤92区偶a核E3跃迁的约化B(E3)跃迁概率系统
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-04 DOI: 10.1016/j.nuclphysa.2025.123241
P.S. Rawat, S. Kumar
In the nuclear landscape, many isomeric states near the shell closure decay via enhanced electric octupole (E3) transitions. The enhancement in the transition strength is linked to the nuclear interactions between shell-model orbitals near the Fermi level that differ by Δj=Δl=3, involving high-j intruder orbitals. The present study investigates the systematics of reduced B(E3) transition probabilities in even-A nuclei with proton numbers Z=5092. Experimental data were taken from the ENSDF, NSR and XUNDL databases. For recently measured E3 transitions, updated half-lives and branching ratios were used to determine refined B(E3) values, calculated using the RULER code. The observed systematic trend across various closed shells indicates that the octupole correlations are strongly developed in the heavier mass region. The transition rates were further analysed according to the type of E3 transition and their underlying configurations. The results reveal a clear pattern: nuclei with configurations involving octupole-driving orbitals show significantly enhanced B(E3) values, whereas the spin-flip and single-particle E3 transitions exhibit much weaker strengths.
在核领域,许多靠近壳层闭合的同分异构体态通过增强的电八极子(E3)跃迁而衰变。跃迁强度的增强与费米能级附近的壳模型轨道之间的核相互作用有关,其差异为Δj=Δl=3,涉及高j侵入者轨道。本文研究了质子数为Z=50 ~ 92的偶a核中还原B(E3)跃迁概率的系统分布。实验数据来源于ENSDF、NSR和XUNDL数据库。对于最近测量的E3转换,使用更新的半衰期和分支比率来确定精确的B(E3)值,使用RULER代码计算。不同封闭壳层间的系统趋势表明,在质量较重的区域,八极子相关得到强烈发展。根据E3转换的类型及其基本结构进一步分析了转换速率。结果显示了一个清晰的模式:包含八极子驱动轨道的原子核的B(E3)值显著增强,而自旋翻转和单粒子E3跃迁的强度要弱得多。
{"title":"Systematics of reduced B(E3) transition probabilities for E3 transitions in even-A nuclei in 50 ≤ Z ≤ 92 region","authors":"P.S. Rawat,&nbsp;S. Kumar","doi":"10.1016/j.nuclphysa.2025.123241","DOIUrl":"10.1016/j.nuclphysa.2025.123241","url":null,"abstract":"<div><div>In the nuclear landscape, many isomeric states near the shell closure decay via enhanced electric octupole <span><math><mrow><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> transitions. The enhancement in the transition strength is linked to the nuclear interactions between shell-model orbitals near the Fermi level that differ by <span><math><mrow><mstyle><mi>Δ</mi></mstyle><mi>j</mi><mo>=</mo><mspace></mspace><mstyle><mi>Δ</mi></mstyle><mi>l</mi><mo>=</mo><mn>3</mn></mrow></math></span>, involving high-<span><math><mi>j</mi></math></span> intruder orbitals. The present study investigates the systematics of reduced <span><math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> transition probabilities in even-A nuclei with proton numbers <span><math><mrow><mi>Z</mi><mo>=</mo><mn>50</mn><mo>−</mo><mn>92</mn></mrow></math></span>. Experimental data were taken from the ENSDF, NSR and XUNDL databases. For recently measured <span><math><mrow><mi>E</mi><mn>3</mn></mrow></math></span> transitions, updated half-lives and branching ratios were used to determine refined <span><math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> values, calculated using the RULER code. The observed systematic trend across various closed shells indicates that the octupole correlations are strongly developed in the heavier mass region. The transition rates were further analysed according to the type of <span><math><mrow><mi>E</mi><mn>3</mn></mrow></math></span> transition and their underlying configurations. The results reveal a clear pattern: nuclei with configurations involving octupole-driving orbitals show significantly enhanced <span><math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> values, whereas the spin-flip and single-particle <span><math><mrow><mi>E</mi><mn>3</mn></mrow></math></span> transitions exhibit much weaker strengths.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123241"},"PeriodicalIF":2.5,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145060605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Role of Coulomb-nuclear breakup of 6,7Li projectiles with heavy deformed 232Th target 重变形232Th靶的67li弹库仑-核破碎作用
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-09-03 DOI: 10.1016/j.nuclphysa.2025.123236
D. Patel , J. Rangel , J. Lubian
The significance of both Coulomb and nuclear couplings and their interference effects in the breakup processes of 6,7Li with a non-spherical nucleus 232Th has been evaluated. The continuum discretized coupled channel (CDCC) calculations are carried out in a nonstandard way, using short-range imaginary potentials for the fragment-target interaction at energies close to the Coulomb barrier. The present calculations employing short-range imaginary potentials exhibit better agreement with the experimental elastic scattering angular distributions than those using standard systematic value (0.78×WSPP) used to describe elastic scattering. Including the excitation of the 232Th inelastic shows significant coupling effects on the elastic scattering below the barrier energies compared to higher incident energies. Subsequently, the CDCC framework was used to analyze the nuclear, Coulomb, and total breakup predictions separately. The breakup cross sections for the 6Li+232Th system are greater than those for the 7Li+232Th system across various energies. The present study predicts destructive Coulomb-nuclear interference in the breakup processes involving both 6Li and 7Li projectile nuclei with the deformed 232Th target. Additionally, the breakup reaction cross-sections are compared with experimentally measured fusion cross-sections near the barrier energies for both 6,7Li+232Th systems.
本文评价了库仑耦合和核耦合及其干涉效应在含非球形核232Th的6,7 li的破裂过程中的意义。在库仑势垒附近,利用短距离虚势对碎片-靶相互作用进行了非标准的连续离散耦合通道(CDCC)计算。本文用短程虚势计算的弹性散射角分布比用描述弹性散射的标准系统值(0.78×WSPP)计算的结果更符合实验弹性散射角分布。与高入射能相比,包含232Th的非弹性激发对势垒能以下的弹性散射具有显著的耦合效应。随后,使用CDCC框架分别分析了核、库仑和总破裂预测。在不同能量下,6Li+232Th体系的破裂截面大于7Li+232Th体系。本研究预测了6Li和7Li弹丸核与变形的232Th靶的破裂过程中破坏性的库仑-核干涉。此外,对6,7 li +232Th两种体系在势垒能附近的裂变反应截面与实验测量的聚变截面进行了比较。
{"title":"Role of Coulomb-nuclear breakup of 6,7Li projectiles with heavy deformed 232Th target","authors":"D. Patel ,&nbsp;J. Rangel ,&nbsp;J. Lubian","doi":"10.1016/j.nuclphysa.2025.123236","DOIUrl":"10.1016/j.nuclphysa.2025.123236","url":null,"abstract":"<div><div>The significance of both Coulomb and nuclear couplings and their interference effects in the breakup processes of <sup>6,7</sup>Li with a non-spherical nucleus <sup>232</sup>Th has been evaluated. The continuum discretized coupled channel (CDCC) calculations are carried out in a nonstandard way, using short-range imaginary potentials for the fragment-target interaction at energies close to the Coulomb barrier. The present calculations employing short-range imaginary potentials exhibit better agreement with the experimental elastic scattering angular distributions than those using standard systematic value (<span><math><mn>0.78</mn><mo>×</mo><msub><mrow><mi>W</mi></mrow><mrow><mi>S</mi><mi>P</mi><mi>P</mi></mrow></msub></math></span>) used to describe elastic scattering. Including the excitation of the <sup>232</sup>Th inelastic shows significant coupling effects on the elastic scattering below the barrier energies compared to higher incident energies. Subsequently, the CDCC framework was used to analyze the nuclear, Coulomb, and total breakup predictions separately. The breakup cross sections for the <sup>6</sup>Li+<sup>232</sup>Th system are greater than those for the <sup>7</sup>Li+<sup>232</sup>Th system across various energies. The present study predicts destructive Coulomb-nuclear interference in the breakup processes involving both <sup>6</sup>Li and <sup>7</sup>Li projectile nuclei with the deformed <sup>232</sup>Th target. Additionally, the breakup reaction cross-sections are compared with experimentally measured fusion cross-sections near the barrier energies for both <sup>6,7</sup>Li+<sup>232</sup>Th systems.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123236"},"PeriodicalIF":2.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144996304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Investigating triply heavy tetraquark states through QCD sum rules 用QCD和规则研究三重重四夸克态
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-08-28 DOI: 10.1016/j.nuclphysa.2025.123227
Wen-Shuai Zhang, Liang Tang
We apply the method of QCD sum rules to study the QQQ¯q¯ and QQQ¯s¯ tetraquark states, where Q=c,b and q=u,d, with the quantum number JP=0+. We consider the contributions of vacuum condensates up to dimension-9 in the operator product expansion, and use the energy scale formula μ=MX2(iMc+jMb)2kMs to determine the optimal energy scales for the QCD spectral densities. Our results indicate that triply charm tetraquark states ccc¯q¯ and ccc¯s¯ have masses in the ranges of 5.385.84GeV and 5.666.16GeV, respectively. In the bottom sector, triply bottom tetraquark states bbb¯q¯ and bbb¯s¯ have masses in the ranges of 14.8915.55GeV and 14.9515.66GeV, respectively. This study could help distinguish these states in upcoming high-energy nuclear and particle experiments.
应用QCD求和规则的方法研究了QQQ¯q¯和QQQ¯s¯四夸克态,其中q= c,b和q=u,d,量子数JP=0+。在算子积展开中,我们考虑了真空凝析物对-9维的贡献,并使用能量尺度公式μ=MX2−(iMc+jMb)2−kMs来确定QCD谱密度的最佳能量尺度。结果表明,三粲四夸克态ccc¯q¯和ccc¯s¯的质量范围分别为5.38 ~ 5.84GeV和5.66 ~ 6.16GeV。在底扇区,三底四夸克态bbb¯q¯和bbb¯s¯的质量范围分别为14.89 ~ 15.55GeV和14.95 ~ 15.66GeV。这项研究可以帮助在即将到来的高能核和粒子实验中区分这些状态。
{"title":"Investigating triply heavy tetraquark states through QCD sum rules","authors":"Wen-Shuai Zhang,&nbsp;Liang Tang","doi":"10.1016/j.nuclphysa.2025.123227","DOIUrl":"10.1016/j.nuclphysa.2025.123227","url":null,"abstract":"<div><div>We apply the method of QCD sum rules to study the <span><math><mi>Q</mi><mi>Q</mi><mover><mrow><mi>Q</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>q</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> and <span><math><mi>Q</mi><mi>Q</mi><mover><mrow><mi>Q</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> tetraquark states, where <span><math><mi>Q</mi><mo>=</mo><mi>c</mi><mo>,</mo><mi>b</mi></math></span> and <span><math><mi>q</mi><mo>=</mo><mi>u</mi><mo>,</mo><mi>d</mi></math></span>, with the quantum number <span><math><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi></mrow></msup><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msup></math></span>. We consider the contributions of vacuum condensates up to dimension-9 in the operator product expansion, and use the energy scale formula <span><math><mi>μ</mi><mo>=</mo><msqrt><mrow><msubsup><mrow><mi>M</mi></mrow><mrow><mi>X</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>−</mo><msup><mrow><mo>(</mo><mi>i</mi><msub><mrow><mi>M</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>+</mo><mi>j</mi><msub><mrow><mi>M</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow></msqrt><mo>−</mo><mi>k</mi><msub><mrow><mi>M</mi></mrow><mrow><mi>s</mi></mrow></msub></math></span> to determine the optimal energy scales for the QCD spectral densities. Our results indicate that triply charm tetraquark states <span><math><mi>c</mi><mi>c</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>q</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> and <span><math><mi>c</mi><mi>c</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> have masses in the ranges of <span><math><mn>5.38</mn><mo>−</mo><mn>5.84</mn><mspace></mspace><mtext>GeV</mtext></math></span> and <span><math><mn>5.66</mn><mo>−</mo><mn>6.16</mn><mspace></mspace><mtext>GeV</mtext></math></span>, respectively. In the bottom sector, triply bottom tetraquark states <span><math><mi>b</mi><mi>b</mi><mover><mrow><mi>b</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>q</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> and <span><math><mi>b</mi><mi>b</mi><mover><mrow><mi>b</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> have masses in the ranges of <span><math><mn>14.89</mn><mo>−</mo><mn>15.55</mn><mspace></mspace><mtext>GeV</mtext></math></span> and <span><math><mn>14.95</mn><mo>−</mo><mn>15.66</mn><mspace></mspace><mtext>GeV</mtext></math></span>, respectively. This study could help distinguish these states in upcoming high-energy nuclear and particle experiments.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123227"},"PeriodicalIF":2.5,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144913939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Benford's law and thermal neutron capture cross-section of A(n,γ)B reactions A(n,γ)B反应的Benford定律和热中子俘获截面
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-08-28 DOI: 10.1016/j.nuclphysa.2025.123228
Nghia Nguyen Huu, Anh Tran Tuan, Thang Le Xuan, Thien Tran Quang, Huong Tuong Thi Thu, Dao Nguyen Minh, Tham Vo Thi Mong
This study evaluates the first-digit distribution of experimental data and semi-empirically calculated data of the thermal neutron capture cross-sections σ(n,γ) for A(n,γ)B reactions. The σ(n,γ) data for 122 isotopes were analyzed, with the scope extended to a total of 558 isotopes, including both ground and isomeric states. The results demonstrate a strong agreement with Benford's law across both datasets. However, a notable deviation is observed for the digit 8, where Mughabghab's calculated values exceed theoretical expectations. This discrepancy suggests a need for further scrutiny of the σ(n,γ) values for four isotopes: 177Lu, 182Ta, 94Nb and 99Mo need to be more carefully considered in future evaluations, due to the significant errors in the elemental concentrations of these isotopes determined by the neutron activation analysis (NAA). Additionally, the theoretical model used for thermal neutron capture cross-section calculations follows a statistical model. The findings of this study not only validate the applicability of Benford's law in nuclear physics but also provide a promising approach for verifying both experimental and theoretical datasets, which is crucial for enhancing the precision of NAA in determining elemental concentrations.
本文评价了A(n,γ)B反应的热中子俘获截面σ(n,γ)的实验数据和半经验计算数据的第一位数分布。对122种同位素的σ(n,γ)数据进行了分析,分析范围扩大到558种同位素,包括基态和同分异构体态。结果表明,在两个数据集上都与本福德定律有很强的一致性。然而,对于数字8,观察到明显的偏差,Mughabghab的计算值超过了理论预期。这一差异表明,由于中子活化分析(NAA)测定的4种同位素的元素浓度存在显著误差,因此在今后的评价中需要更加仔细地考虑177Lu、182Ta、94Nb和99Mo的σ(n,γ)值。此外,用于热中子俘获截面计算的理论模型遵循统计模型。本研究结果不仅验证了Benford定律在核物理中的适用性,而且为验证实验和理论数据集提供了一种有希望的方法,这对于提高NAA测定元素浓度的精度至关重要。
{"title":"Benford's law and thermal neutron capture cross-section of A(n,γ)B reactions","authors":"Nghia Nguyen Huu,&nbsp;Anh Tran Tuan,&nbsp;Thang Le Xuan,&nbsp;Thien Tran Quang,&nbsp;Huong Tuong Thi Thu,&nbsp;Dao Nguyen Minh,&nbsp;Tham Vo Thi Mong","doi":"10.1016/j.nuclphysa.2025.123228","DOIUrl":"10.1016/j.nuclphysa.2025.123228","url":null,"abstract":"<div><div>This study evaluates the first-digit distribution of experimental data and semi-empirically calculated data of the thermal neutron capture cross-sections <span><math><mi>σ</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></math></span> for <span><math><mi>A</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo><mi>B</mi></math></span> reactions. The <span><math><mi>σ</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></math></span> data for 122 isotopes were analyzed, with the scope extended to a total of 558 isotopes, including both ground and isomeric states. The results demonstrate a strong agreement with Benford's law across both datasets. However, a notable deviation is observed for the digit 8, where Mughabghab's calculated values exceed theoretical expectations. This discrepancy suggests a need for further scrutiny of the <span><math><mi>σ</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></math></span> values for four isotopes: <sup>177</sup>Lu, <sup>182</sup>Ta, <sup>94</sup>Nb and <sup>99</sup>Mo need to be more carefully considered in future evaluations, due to the significant errors in the elemental concentrations of these isotopes determined by the neutron activation analysis (NAA). Additionally, the theoretical model used for thermal neutron capture cross-section calculations follows a statistical model. The findings of this study not only validate the applicability of Benford's law in nuclear physics but also provide a promising approach for verifying both experimental and theoretical datasets, which is crucial for enhancing the precision of NAA in determining elemental concentrations.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123228"},"PeriodicalIF":2.5,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144921793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
期刊
Nuclear Physics A
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