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Instanton-motivated study of spontaneous fission of odd-A nuclei 奇a核自发裂变的瞬态激发研究
Pub Date : 2020-07-02 DOI: 10.1103/physrevc.102.054603
W. Brodzi'nski, J. Skalski
Using the idea of the instanton approach to quantum tunneling we try to obtain a method of calculating spontaneous fission rates for nuclei with the odd number of neutrons or protons. This problem has its origin in the failure of the adiabatic cranking approximation which serves as the basis in calculations of fission probabilities. Selfconsistent instanton equations, with and without pairing, are reviewed and then simplified to non-selfconsistent versions with phenomenological single-particle potential and seniority pairing interaction. Solutions of instanton-like equations without pairing and actions they produce are studied for the Woods-Saxon potential along realistic fission trajectories. Actions for unpaired particles are combined with cranking actions for even-even cores and fission hindrance for odd-A nuclei is studied in such a hybrid model. With the assumed equal mass parameters for neighbouring odd-A and even-even nuclei, the model shows that freezing the K {pi} configuration leads to a large overestimate of the fission hindrance factors. Actions with adiabatic configurations mostly show not enough hindrance; instanton-like actions for blocked nucleons correct this, but not sufficiently.
利用量子隧道的瞬子方法的思想,我们试图获得一种计算奇数中子或奇数质子的原子核的自发裂变率的方法。这个问题的根源在于作为计算裂变概率基础的绝热曲柄近似的失效。回顾了有和没有配对的自洽实例方程,然后将其简化为具有现象学单粒子势和优先配对相互作用的非自洽版本。研究了不配对的类瞬态方程的解及其产生的作用,并沿实际裂变轨迹计算了Woods-Saxon势。将偶偶核中未配对粒子的作用与曲柄作用结合起来,研究了奇a核的裂变阻。假设相邻奇- a和偶-偶核的质量参数相等,该模型表明,冻结K {pi}构型会导致裂变阻碍因子的大大高估。具有绝热构型的作用大多没有足够的阻碍;阻断核子的瞬态作用纠正了这一点,但还不够。
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引用次数: 0
Neutron drip line in the deformed relativistic Hartree–Bogoliubov theory in continuum: Oxygen to Calcium 连续体中变形相对论Hartree-Bogoliubov理论中的中子滴线:氧到钙
Pub Date : 2020-07-02 DOI: 10.1142/S0218301321500099
E. J. In, Youngman Kim, P. Papakonstantinou, Seung-Woo Hong
The location of the neutron drip line, currently known for only the lightest elements, remains a fundamental question in nuclear physics. Its description is a challenge for microscopic nuclear energy density functionals, as it must take into account in a realistic way not only the nuclear potential, but also pairing correlations, deformation effects and coupling to the continuum. The recently developed deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) aims to provide a unified description of even-even nuclei throughout the nuclear chart. Here, the DRHBc with the successful density functional PC-PK1 is used to investigate whether and how deformation influences the prediction for the neutron drip-line location for even-even nuclei with 8<=Z<=20, where many isotopes are predicted deformed. The results are compared with those based on the spherical relativistic continuum Hartree-Bogoliubov (RCHB) theory and discussed in terms of shape evolution and the variational principle. It is found that the Ne and Ar drip-line nuclei are different after the deformation effect is included. The direction of the change is not necessarily towards an extended drip line, but rather depends on the evolution of the degree of deformation towards the drip line. Deformation effects as well as pairing and continuum effects treated in a consistent way can affect critically the theoretical description of the neutron drip-line location.
中子滴线的位置,目前只知道最轻的元素,仍然是核物理学的一个基本问题。它的描述是微观核能密度函数的一个挑战,因为它必须以一种现实的方式考虑不仅核势,而且配对相关性,变形效应和耦合到连续体。最近发展的变形相对论Hartree-Bogoliubov连续介质理论(DRHBc)旨在提供整个核图中偶偶核的统一描述。本文利用具有成功密度泛函数PC-PK1的DRHBc来研究变形是否以及如何影响8<=Z<=20的偶偶核的中子滴线位置预测,其中许多同位素被预测为变形。将结果与基于球面相对论连续体Hartree-Bogoliubov (RCHB)理论的结果进行了比较,并从形状演化和变分原理的角度进行了讨论。考虑变形效应后,Ne和Ar的滴线核是不同的。变化的方向不一定是朝着延伸的滴水线,而是取决于向滴水线变形程度的演变。变形效应以及配对效应和连续效应的一致性处理对中子滴线位置的理论描述具有重要的影响。
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引用次数: 3
Pion-nucleon scattering to order p4 in SU(3) heavy baryon chiral perturbation theory SU(3)重重子手性微扰理论中的p4阶介子-核子散射
Pub Date : 2020-07-01 DOI: 10.1103/physrevd.102.116001
Bo Huang
We calculate the $T$-matrices of elastic pion-nucleon ($pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The baryon mass in the chiral limit $M_0$ and the pertinent low-energy constants are determined by fitting to empirical $pi N$ phase shifts below 200 MeV pion laboratory momentum in the physical region. The scattering lengths and scattering volumes are also extracted from the chiral amplitudes, and turn out to be in good agreement with those of other approaches and the available experimental values. On the basis of the various phase shifts and the threshold parameters, the convergence of the chiral expansion is analyzed in detail. A good convergence for $pi N$ scattering observables is obtained when working up to fourth order. In addition, we extend the fit to 250 MeV pion laboratory momentum, and obtain also a good description of the empirical $S$- and $P$-wave phase shifts.
我们计算了SU(3)重重子手性微扰理论中四阶弹性介子-核子($pi N$)散射的$T$矩阵。通过拟合物理区域中低于200 MeV介子实验室动量的经验相移,确定了手性极限下的重子质量和相关的低能常数。从手性振幅中提取了散射长度和散射体积,结果与其他方法和实验值吻合较好。根据不同的相移和阈值参数,详细分析了手性展开的收敛性。对于$pi N$散射观测值,当工作到四阶时,得到了很好的收敛性。此外,我们将拟合扩展到250 MeV的介子实验室动量,并获得了经验S -和P -波相移的良好描述。
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引用次数: 4
Possible octupole deformation of Pb208 and the ultracentral v2 to v3 puzzle Pb208可能的八极变形和超中心v2到v3之谜
Pub Date : 2020-07-01 DOI: 10.1103/PHYSREVC.102.054905
Patrick Carzon, Skandaprasad Rao, M. Luzum, M. Sievert, J. Noronha-Hostler
Recent measurements have established the sensitivity of ultracentral heavy-ion collisions to the deformation parameters of non-spherical nuclei. In the case of ${}^{ 129}$Xe collisions, a quadrupole deformation of the nuclear profile led to an enhancement of elliptic flow in the most central collisions. In ${}^{ 208}$Pb collisions a discrepancy exists in similar centralities, where either elliptic flow is over-predicted or triangular flow is under-predicted by hydrodynamic models; this is known as the $v_2$-to-$v_3$ puzzle in ultracentral collisions. Motivated by low-energy nuclear structure calculations, we consider the possibility that $^{208}$Pb nuclei could have a pear shape deformation (octupole), which has the effect of increasing triangular flow in central PbPb collisions. Using the recent data from ALICE and ATLAS, we revisit the $v_2$-to-$v_3$ puzzle in ultracentral collisions, including new constraints from recent measurements of the triangular cumulant ratio $v_3left{4right}/v_3left{2right}$ and comparing two different hydrodynamic models. We find that, while an octupole deformation would slightly improve the ratio between $v_2$ and $v_3$, it is at the expense of a significantly worse triangular flow cumulant ratio. In fact, the latter observable prefers no octupole deformation, with $beta_3lesssim 0.0375$ for ${}^{ 208}$Pb, and is therefore consistent with the expectation for a doubly-magic nucleus even at top collider energies. The $v_2$-to-$v_3$ puzzle remains a challenge for hydrodynamic models.
最近的测量已经建立了超中心重离子碰撞对非球形核变形参数的敏感性。在${}^{ 129}$ Xe碰撞的情况下,核剖面的四极形变导致椭圆流在最中心的碰撞中增强。在${}^{ 208}$ Pb碰撞中,相似的中心性存在差异,流体动力学模型对椭圆流的预测过高,对三角形流的预测过低;这被称为超中心碰撞中的$v_2$ - $v_3$谜题。在低能核结构计算的激励下,我们考虑$^{208}$ Pb核可能具有梨形变形(八极子),这在中心PbPb碰撞中具有增加三角形流动的作用。利用ALICE和ATLAS的最新数据,我们重新审视了超中心碰撞中的$v_2$ - $v_3$谜题,包括最近三角累积比$v_3left{4right}/v_3left{2right}$测量的新约束,并比较了两种不同的流体动力学模型。我们发现,虽然八极变形会略微改善$v_2$和$v_3$之间的比率,但其代价是三角流累积比明显变差。事实上,后一种观测结果倾向于没有八极子变形,${}^{ 208}$ Pb为$beta_3lesssim 0.0375$,因此,即使在最高的对撞机能量下,也符合双幻核的预期。$v_2$到$v_3$的谜题仍然是水动力模型的一个挑战。
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引用次数: 7
Accurate bulk properties of nuclei from A=2 to ∞ from potentials with Δ isobars 从具有Δ等压线的电位的A=2到∞的原子核的精确体积性质
Pub Date : 2020-06-30 DOI: 10.1103/physrevc.102.054301
W. G. Jiang, A. Ekström, C. Forss'en, G. Hagen, G. Jansen, T. Papenbrock
We optimize $Delta$-full nuclear interactions from chiral effective field theory. The low-energy constants of the contact potentials are constrained by two-body scattering phase shifts, and by properties of bound-state of $A=2$ to $4$ nucleon systems and nuclear matter. The pion-nucleon couplings are taken from a Roy-Steiner analysis. The resulting interactions yield accurate binding energies and radii for a range of nuclei from $A=16$ to $A=132$, and provide accurate equations of state for nuclear matter and realistic symmetry energies. Selected excited states are also in agreement with data.
我们从手性有效场理论出发,优化了$Delta$-满核相互作用。接触势的低能常数受两体散射相移、A=2 ~ 4$核子系统和核物质束缚态性质的限制。介子-核子耦合取自罗伊-斯坦纳分析。由此产生的相互作用为$ a =16$到$ a =132$范围内的原子核提供了精确的结合能和半径,并提供了核物质和真实对称能的精确状态方程。所选择的激发态也与数据一致。
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引用次数: 47
Study of freeze-out dynamics of strange hadrons 奇异强子的冻结动力学研究
Pub Date : 2020-06-30 DOI: 10.1103/PhysRevD.104.034027
S. Singh, P. Ghosh, Jajati k. Nayak
We study the chemical freeze-out dynamics of strange particles ($K,, Lambda,, Sigma$) from a homogeneous and isotropically expanding hadronic system of $pi, K, rho, N, Lambda$ and $Sigma$ with zero net baryon density. We use the momentum integrated Boltzmann equation and study their evolution over the bulk hadronic matter, a condition being similar to the one created at top RHIC and LHC energies. The cross-sections, which are input to the equations, are taken either from phenomenological models or parameterized by comparing against experimental data. From this microscopic calculation we find that these strange particles freeze-out near transition temperature $approx T_c$ due to large relaxation time. The continuous cease of the inelastic processes due to gradual fall in the temperature and decrease in the number density, thus lead to early freeze out of strange hadrons $K, Lambda$ and $Sigma$ which happens sequentially near $T_c$. However, freeze-out of these strange species near Tc appears as a sudden and simultaneous process, which is mostly predicted by thermal model while explaining the yield of identified particles at RHIC and LHC energies.
我们研究了净重子密度为零的均匀和各向同性膨胀的$pi, K, rho, N, Lambda$和$Sigma$强子系统中奇异粒子($K,, Lambda,, Sigma$)的化学冻结动力学。我们使用动量积分玻尔兹曼方程并研究它们在整体强子物质上的演化,这种情况类似于在RHIC和LHC的最高能量下产生的情况。输入方程的横截面要么取自现象学模型,要么通过与实验数据比较而参数化。从微观计算中我们发现,由于弛豫时间大,这些奇怪的粒子在转变温度$approx T_c$附近被冻结。由于温度的逐渐下降和数量密度的降低,非弹性过程的持续停止,导致奇异强子$K, Lambda$和$Sigma$的早期冻结,并在$T_c$附近依次发生。然而,这些奇怪的物质在Tc附近的冻结是一个突然而同步的过程,这主要是用热模型来预测的,同时解释了在RHIC和LHC能量下确定的粒子的产率。
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引用次数: 0
Outer crust of a cold, nonaccreting neutron star within the quark-meson-coupling model 夸克-介子耦合模型中一个冷的、非吸积的中子星的外壳
Pub Date : 2020-06-30 DOI: 10.1103/physrevc.102.065801
Sofija Anti'c, J. Stone, J. Miller, K. Martinez, A. Thomas, P. Guichon
The outer crust properties of cold non-accreting neutron stars are studied within the framework of the quark-meson coupling (QMC) model, which includes the effects of modifications of the quark structure inside individual nucleons when they are within a high-density nuclear medium. With a unique set of five well-constrained adjustable parameters, which have a clear physical basis, the QMC model gives predictions for the ground state observables of even-even nuclei which agree with experiment as well as traditional models. Furthermore, it gives improved theoretical values for nuclei thought to play a role in the outer crusts of neutron stars but for which experimental data is not available. Using the latest experimental data tables wherever possible but otherwise the predictions from the QMC model, we construct an equation of state for the outer crust which is then used within stellar model calculations to obtain an equilibrium sequence of crustal layers, each characterized by a particular neutron rich nuclei. Various properties of the layers are calculated for a range of neutron-star masses, and comparisons are made with alternative equations of state from the literature. This leads to the conclusion that the QMC model successfully predicts the outer crust properties and is fully comparable with the more traditional mass models, which all depend on a larger number of parameters.
在夸克-介子耦合(QMC)模型的框架内研究了冷非吸合中子星的外壳特性,其中包括在高密度核介质中单个核子内部夸克结构变化的影响。QMC模型具有独特的5个约束良好的可调参数,具有明确的物理基础,它对偶偶核基态观测值的预测既符合实验,也符合传统模型。此外,它还改进了被认为在中子星外壳中起作用但没有实验数据的原子核的理论值。我们尽可能使用最新的实验数据表,但不使用QMC模型的预测,我们构建了外地壳的状态方程,然后在恒星模型计算中使用该方程来获得地壳层的平衡序列,每个层都具有特定的富中子核。计算了中子星质量范围内各层的各种性质,并与文献中的其他状态方程进行了比较。由此得出的结论是,QMC模型成功地预测了外地壳的性质,并且与更传统的质量模型完全可比,后者都依赖于更多的参数。
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引用次数: 2
Asymptotic characteristics of decay channels of states of light nuclei in the ab initio approach 从头算方法中轻核状态衰减通道的渐近特征
Pub Date : 2020-06-26 DOI: 10.1103/PHYSREVC.103.024304
D. Rodkin, Yu. M. Tchuvil'sky
A new convenient method for precise theoretical calculations of quantities of traditional theory of nuclear reactions such as widths of resonances (including sub-threshold), and asymptotic normalization coefficients is proposed. This method may be considered as a step on the road to full theoretical ab initio description of light nuclei spectroscopic data. As an illustration of this method the computational results for all relevant two-body channels for all known and some theoretically predicted states of 7Li nucleus are shown. Well-proven on a large amount of data Daejeon16 potential was used in the calculations. The most part of the results turn out to be in a good agreement with the experimental data contained in spectroscopic tables.
提出了一种新的、方便的方法来精确计算传统核反应理论中共振宽度(包括亚阈值)和渐近归一化系数等物理量。这种方法可以被认为是通往光核光谱数据完全理论从头描述的道路上的一步。作为该方法的例证,给出了7Li核所有已知态和一些理论预测态的所有相关二体通道的计算结果。在计算中使用了经过大量数据验证的大田16势。所得结果与光谱表中的实验数据基本吻合。
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引用次数: 0
Shell-model study of calcium isotopes toward their drip line 钙同位素滴注线的壳模型研究
Pub Date : 2020-06-26 DOI: 10.1103/physrevc.102.054326
L. Coraggio, G. De Gregorio, A. Gargano, N. Itaco, T. Fukui, Y. Z. Ma, F. Xu
We report in this paper a study in terms of the nuclear shell model about the location of the calcium isotopes drip line. The starting point is considering the realistic two-body potential derived by Entem and Machleidt within chiral perturbation theory at next-to-next-to-next-to-leading order (N3LO), as well as a chiral three-body force at next-to-next-to-leading order (N2LO) whose structure and low-energy constants are consistent with the two-body potential. Then we construct the effective single-particle energies and residual interaction needed to diagonalize the shell-model Hamiltonian. The calculated two-neutron separation energies agree nicely with experiment until 56Ca, which is the heaviest isotope whose mass has been measured, and do not show any sign of two-neutron emission until 70Ca. We discuss the role of the choice of the model space in determining the neutron drip line, and also the dependence of the results on the parameters of the shell-model Hamiltonian.
本文利用核壳模型对钙同位素滴线的位置进行了研究。本文的出发点是考虑Entem和Machleidt在手性微扰理论中推导出的次-次-次-次-前阶的实际二体势(N3LO),以及结构和低能常数与二体势一致的次-次-前阶手性三体力(N2LO)。然后我们构造了对角化壳模型哈密顿量所需的有效单粒子能量和剩余相互作用。在56Ca之前,计算得到的双中子分离能与实验结果吻合较好,56Ca是测量到质量最重的同位素,在70Ca之前没有出现双中子发射的迹象。我们讨论了模型空间的选择在确定中子滴线中的作用,以及结果与壳模型哈密顿量参数的依赖关系。
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引用次数: 5
Global polarization in heavy-ion collisions based on the axial vortical effect 基于轴向涡效应的重离子碰撞全局极化
Pub Date : 2020-06-25 DOI: 10.1103/physrevc.102.044904
Y. Ivanov
Global polarization of $Lambda$ and $bar{Lambda}$ is calculated based on the axial vortical effect (AVE). Simulations are performed within the model of the three-fluid dynamics. Equations of state with the deconfinement transition result in a good agreement with STAR data for both $Lambda$ and $bar{Lambda}$ polarization, in particular, with the $Lambda$-$bar{Lambda}$ splitting. Suppression of the gravitational-anomaly contribution required for the data reproduction is in agreement with predictions of the QCD lattice simulations. Predictions for the global polarization in forthcoming experiments at lower collision energies are made. These forthcoming data will provide a critical test for the AVE and thermodynamic mechanisms of the polarization.
基于轴向涡效应(AVE)计算了$Lambda$和$bar{Lambda}$的全局极化。在三流体动力学模型中进行了仿真。具有非定义跃迁的状态方程与STAR数据在$Lambda$和$bar{Lambda}$极化,特别是$Lambda$ - $bar{Lambda}$分裂方面的结果非常吻合。抑制数据再现所需的重力异常贡献与QCD晶格模拟的预测一致。对即将进行的低碰撞能量实验中的全局极化进行了预测。这些即将到来的数据将为AVE和极化的热力学机制提供关键的检验。
{"title":"Global polarization in heavy-ion collisions based on the axial vortical effect","authors":"Y. Ivanov","doi":"10.1103/physrevc.102.044904","DOIUrl":"https://doi.org/10.1103/physrevc.102.044904","url":null,"abstract":"Global polarization of $Lambda$ and $bar{Lambda}$ is calculated based on the axial vortical effect (AVE). Simulations are performed within the model of the three-fluid dynamics. Equations of state with the deconfinement transition result in a good agreement with STAR data for both $Lambda$ and $bar{Lambda}$ polarization, in particular, with the $Lambda$-$bar{Lambda}$ splitting. Suppression of the gravitational-anomaly contribution required for the data reproduction is in agreement with predictions of the QCD lattice simulations. Predictions for the global polarization in forthcoming experiments at lower collision energies are made. These forthcoming data will provide a critical test for the AVE and thermodynamic mechanisms of the polarization.","PeriodicalId":8463,"journal":{"name":"arXiv: Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73136470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
期刊
arXiv: Nuclear Theory
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