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Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

The density dependence of the nuclear symmetry energy governs important aspects of very neutron rich systems such as heavy nuclei and their collisions, neutron stars and their mergers. Many analyses of experimental data have generated…

Nuclear Experiment · Physics 2018-05-29 W. G. Lynch , M. B. Tsang

Using covariance analysis, we quantify the correlations between the interaction parameters in a transport model and the observables commonly used to extract information of the Equation of State of Asymmetric Nuclear Matter in experiments.…

Nuclear Theory · Physics 2015-09-30 Yingxun Zhang , M. B. Tsang , Zhuxia Li

The latest development in determining the density dependence of the nuclear symmetry energy using heavy-ion collisions is reviewed. Within the IBUU04 version of an isospin- and momentum-dependent transport model using a modified Gogny…

Nuclear Theory · Physics 2008-11-26 Bao-An Li , Lie-Wen Chen , Che Ming Ko , Gao-Chan Yong , Wei Zuo

We apply the direct variational method to derive the equation of state for finite nuclei within the stability valley. The extended Thomas-Fermi approximation for the energy functional with Skyrme forces is used. Using the leptodermous…

Nuclear Theory · Physics 2008-11-11 V. M. Kolomietz , A. I. Sanzhur

We have, recently, shown that the general trends of partition-wise fission fragment mass distribution in heavy ion (HI) induced compound nuclear (CN) fission of heavy nuclei can be reproduced reasonably well by using the concept of isospin…

Nuclear Theory · Physics 2018-06-21 Swati Garg , Ashok Kumar Jain

Phenomenological Lagrangians that exhibit (broken) chiral symmetry as well as isospin violation suggest short-range charge symmetry breaking (CSB) nucleon-nucleon potentials with a $\mbox{\boldmath $\sigma$}_1 \!\cdot\!\mbox{\boldmath…

Nuclear Theory · Physics 2009-10-30 S. A. Coon , B. H. J. McKellar , V. G. J. Stoks

The nuclear symmetry energy, which describes the energy difference of per proton and neutron in nuclear matter, has been extensively studied within the last two decades. Around saturation density, both the value and the slope of the nuclear…

Nuclear Theory · Physics 2020-07-21 Gao-Chan Yong , Ya-Fei Guo

The Heisenberg uncertainty inequality is used to derive a rigorous lower bound to the amount of isospin impurities in $N=Z$ atomic nuclei, caused by the violation of isospin symmetry. The bound is fixed by the difference between the neutron…

Nuclear Theory · Physics 2025-11-26 Sandro Stringari

Based on mean field calculations with Skyrme interactions, we extract a constraint on the isovector effective mass in nuclear matter at saturation density $\rho_0$, i.e., $m_{v}^{\ast}(\rho_0)=(0.77\pm0.03) m$ by combining the experimental…

Nuclear Theory · Physics 2016-04-06 Zhen Zhang , Lie-Wen Chen

The influence of nuclear isospin mixing on parity-violating elastic electron scattering is studied for the even-even, N=Z nuclei 12C, 24Mg, 28Si, and 32S. Their ground-state wave functions have been obtained using a self-consistent…

Nuclear Theory · Physics 2009-08-20 O. Moreno , P. Sarriguren , E. Moya de Guerra , J. M. Udias , T. W. Donnelly , I. Sick

Exact symmetry and symmetry-breaking phenomena play a key role in providing a better understanding of the physics of many-particle systems, from quarks and atomic nuclei, to molecules and galaxies. In atomic nuclei, exact and dominant…

Nuclear Theory · Physics 2020-02-05 T. Dytrych , K. D. Launey , J. P. Draayer , D. Rowe , J. Wood , G. Rosensteel , C. Bahri , D. Langr , R. B. Baker

The properties of $T=1/2$ mirror nuclei in the $fp$ shell have been studied with a microscopic residual interaction. The isospin-nonconserving interaction is derived from a high-precision charge-dependent Bonn \textit{NN} potential using…

Nuclear Theory · Physics 2009-09-24 C. Qi , F. R. Xu

We propose a new theory framework to study the isospin-symmetry breaking correction $\delta_\text{C}$ in superallowed nuclear beta decays, crucial for the precise determination of $|V_{ud}|$. Based on a general assumptions of the isovector…

Nuclear Theory · Physics 2024-04-02 Chien-Yeah Seng , Mikhail Gorchtein

Based on the Skyrme energy density functional, the spatial distribution of the symmetry energy of a finite nucleus is derived in order to examine whether the symmetry energy of a finite nucleus originates from its interior or from its…

Nuclear Theory · Physics 2013-01-15 Jianmin Dong , Wei Zuo , Jianzhong Gu

The neutron-skin thickness of asymmetric semi-infinite nuclear matter is shown to be a function of Coulomb energy, the asymmetry-energy coefficient($J$), the slope($L$) of the asymmetry energy, and the incompressibility coefficient, in…

Nuclear Theory · Physics 2022-06-15 Toshio Suzuki

We have obtained the constraints on the density dependence of the symmetry energy from neutron-skin thickness data by parity-violating electron scatterings and neutron-star observables using a Bayesian approach, based on the standard…

Nuclear Theory · Physics 2024-07-23 Jia Zhou , Jun Xu

With stochastic transport simulations we study in detail central and peripheral collisions at Fermi energies and suggest new observables, sensitive to the symmetry energy below normal density. As such we identify on one hand the isospin…

Nuclear Theory · Physics 2017-08-23 H. H. Wolter , J. Rizzo , M. Colonna , M. Di Toro , V. Greco , V. Baran , M. Zielinska-Pfabe

One of the major uncertainties in the dense matter equation of state has been the nuclear symmetry energy. The density dependence of the symmetry energy is important in nuclear astrophysics, as it controls the neutronization of matter in…

Nuclear Theory · Physics 2013-07-01 James M. Lattimer , Yeunhwan Lim

Asymmetric nuclear matter is treated in the formalism of Dirac-Brueckner approach with Bonn one-boson-exchange nucleon-nucleon interaction. We extract the symmetry energy coefficient at the saturation to be about 31 MeV, which is in good…

Nuclear Theory · Physics 2007-05-23 C. -H. Lee , T. T. S. Kuo , G. Q. Li , G. E. Brown