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Based on the Hugenholtz-Van Hove theorem, it is shown that both the symmetry energy E$_{sym}(\rho)$ and its density slope $L(\rho)$ at normal density $\rho_0$ are completely determined by the global nucleon optical potentials that can be…

Nuclear Theory · Physics 2010-12-02 Chang Xu , Bao-An Li , Lie-Wen Chen

The model dependence in the correlations of the neutron-skin thickness in heavy nuclei with various symmetry energy parameters is analyzed by using several families of systematically varied microscopic mean field models. Such correlations…

Nuclear Theory · Physics 2016-06-22 C. Mondal , B. K. Agrawal , M. Centelles , G. Colò , X. Roca-Maza , N. Paar , X. Viñas , S. K. Singh , S. K. Patra

From general Fermi liquid theory arguments, we derive correlations among the symmetry energy (J), its slope parameter (L), and curvature (K_sym) at nuclear matter saturation density. We argue that certain properties of these correlations do…

Nuclear Theory · Physics 2018-08-01 Jeremy W. Holt , Yeunhwan Lim

In the first part of this paper, we present a study of the symmetry energy ($a_s$) and its slope parameter ($L$) for nuclear matter in the framework of the Fermi liquid theory of Landau and Migdal. We derive an exact relation between $a_s$…

Nuclear Theory · Physics 2022-01-24 Wolfgang Bentz , Ian C. Cloët

Within the interacting Fermi gas model for isospin asymmetric nuclear matter, effects of the in-medium three-body interaction and the two-body short-range tensor force due to the $\rho$ meson exchange as well as the short-range nucleon…

Nuclear Theory · Physics 2014-11-20 Chang Xu , Bao-An Li

In this theoretical study, we establish a correlation between the neutron skin thickness and the nuclear symmetry energy for the even$-$even isotopes of Fe, Ni, Zn, Ge, Se and Kr within the framework of the axially deformed self-consistent…

Nuclear Theory · Physics 2018-02-28 M. Bhuyan , B. V. Carlson , S. K. Patra , Shan-Gui Zhou

Background: Neutron-skin thickness is an excellent indicator of isovector properties of atomic nuclei. As such, it correlates strongly with observables in finite nuclei that depend on neutron-to-proton imbalance and the nuclear symmetry…

Nuclear Theory · Physics 2015-06-16 M. Kortelainen , J. Erler , W. Nazarewicz , N. Birge , Y. Gao , E. Olsen

The complex nature of the nuclear forces generates a broad range and diversity of observational phenomena. Heavy nuclei, though orders of magnitude less massive than neutron stars, are governed by the same underlying physics, which is…

Nuclear Experiment · Physics 2019-09-04 M. Thiel , C. Sfienti , J. Piekarewicz , C. J. Horowitz , M. Vanderhaeghen

The impacts of various symmetry energy parameters on the properties of neutron stars (NSs) have been recently investigated, and the outcomes are at variance, as summarized in Table III of Phys. Rev. D 106, 063005 (2022). We have…

Nuclear Theory · Physics 2023-05-19 N. K. Patra , Anagh Venneti , Sk Md Adil Imam , Arunava Mukherjee , B. K. Agrawal

Level density $\rho(E,N,Z)$ is derived for a nuclear system with a given energy $E$, neutron $N$, and proton $Z$ particle numbers, within the semiclassical extended Thomas-Fermi and periodic-orbit theory beyond the Fermi-gas saddle-point…

Nuclear Theory · Physics 2021-12-06 A. G. Magner , A. I. Sanzhur , S. N. Fedotkin , A. I. Levon , S. Shlomo

Using the relativistic mean-field theory, we adopt two different methods, namely, the coexisting phase method and the self-consistent Thomas-Fermi approximation, to study the impacts of the nuclear symmetry energy on properties of neutron…

Nuclear Theory · Physics 2015-12-15 Shishao Bao , Hong Shen

High density behaviour of nuclear symmetry energy is studied on the basis of a stiffest density dependence of asymmetric contribution to energy per nucleon in charge neutral $n+p+e+\mu$ matter under beta equilibrium. The density dependence…

General Physics · Physics 2016-11-09 B Behera , T R Routray , S K Tripathy

The formation of $\alpha$-particle clusters on the surface of heavy nuclei is described in a generalized relativistic mean-field model with explicit cluster degrees of freedom. The effects on the size of the neutron skin of Sn nuclei and…

Nuclear Theory · Physics 2015-06-19 Stefan Typel

The effective chiral model is extended by introducing the contributions from the cross-couplings between isovector and isoscalar mesons. These cross-couplings are found to be instrumental in improving the density content of the nuclear…

Nuclear Theory · Physics 2017-09-08 Tuhin Malik , Kinjal Banerjee , T. K. Jha , B. K. Agrawal

According to the Hugenholtz-Van Hove theorem, the symmetry energy and its density slope can be decomposed uniquely in terms of the single-nucleon potential in asymmetric nuclear matter which, at normal density, can be constrained by the…

Nuclear Theory · Physics 2014-07-02 Xiao-Hua Li , Bao-Jun Cai , Lie-Wen Chen , Rong Chen , Bao-An Li , Chang Xu

We calculate the symmetry energy of the nuclear matter by using the bottom-up approach, so called hard wall model. To consider the nuclear matter, we introduce the isospin for u- and d-quarks. We find that in the hard wall model, the…

High Energy Physics - Theory · Physics 2015-06-03 Chanyong Park

Within the minimum model of neutron stars (NS) consisting of neutrons, protons and electrons, a new approach is proposed for inferring the symmetry energy of super-dense neutron-rich nucleonic matter above twice the saturation density…

Nuclear Theory · Physics 2020-06-01 Bao-An Li , Wen-Jie Xie

Using different parameterizations of the nuclear mass formula, we study the sensitivity of the isoscaling parameters to the mass formula employed in grand-canonical calculations. Previous works on isoscaling have suggested that the symmetry…

Nuclear Theory · Physics 2008-11-26 S. R. Souza , M. B. Tsang , R. Donangelo , W. G. Lynch , A. W. Steiner

The relation between the fourth-order symmetry energy $E_{\rm{sym,4}}(\rho_0)$ of nuclear matter at saturation density $\rho_0$ and its counterpart $a_{\rm{sym,4}}(A)$ of finite nuclei in a semiempirical nuclear mass formula is revisited by…

Nuclear Theory · Physics 2022-10-20 Bao-Jun Cai , Rui Wang , Zhen Zhang , Lie-Wen Chen

Effects of the density dependence of the nuclear symmetry energy on ground-state properties of superheavy nuclei are studied in the relativistic mean-field theory. It is found that the softening of the symmetry energy plays an important…

Nuclear Theory · Physics 2010-04-14 Wei-Zhou Jiang