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We introduce a global nuclear mass formula which is based on the macroscopic-microscopic method, the Skyrme energy-density functional and the isospin symmetry in nuclear physics. The rms deviation with respect to 2149 known nuclear masses…

Nuclear Theory · Physics 2013-03-28 Ning Wang , Min Liu

The macroscopic-microscopic mass formula is further improved by considering mirror nuclei constraint. The rms deviation with respect to 2149 measured nuclear masses is reduced to 0.441 MeV. The shell corrections, the deformations of nuclei,…

Nuclear Theory · Physics 2011-03-22 Ning Wang , Zuoying Liang , Min Liu , Xizhen Wu

Binding energy of symmetric nuclear matter can be accessed straightforwardly with the textbook mass-formula and a sample of nuclear masses. We show that, with a minimally modified formula (along the lines of the droplet model), the symmetry…

Nuclear Theory · Physics 2009-11-10 P. Danielewicz

Empirically determined values of the nuclear volume and surface symmetry energy coefficients from nuclear masses are expressed in terms of density distributions of nucleons in heavy nuclei in the local density approximation. This is then…

Nuclear Theory · Physics 2015-06-16 B. K. Agrawal , J. N. De , S. K. Samaddar , G. Colo , A. Sulaksono

We describe the main features of our most recent Hartree-Fock-Bogoliubov nuclear mass models, based on 16-parameter generalized Skyrme forces. They have been fitted to the data of the 2012 Atomic Mass Evaluation, and favour a value of 30…

Nuclear Theory · Physics 2015-06-17 J. M. Pearson , N. Chamel , A. F. Fantina , S. Goriely

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

We systematically investigate the neutron-skin thickness of neutron-rich nuclei within a compressible droplet model, which includes several parameters characterizing the surface tension and the equation of state (EOS) of asymmetric nuclear…

Nuclear Theory · Physics 2017-09-27 W. Horiuchi , S. Ebata , K. Iida

The semi-empirical macroscopic-microscopic mass formula is further improved by considering some residual corrections. The rms deviation from 2149 known nuclear masses is significantly reduced to 336 keV, even lower than that achieved with…

Nuclear Theory · Physics 2011-08-02 Min Liu , Ning Wang , Yangge Deng , Xizhen Wu

An experimentally constrained equation of state of neutron-rich matter is fundamental for the physics of nuclei and the astrophysics of neutron stars, mergers, core-collapse supernova explosions and the synthesis of heavy elements. To this…

Nuclear Theory · Physics 2018-01-03 T. Aumann , C. A. Bertulani , F. Schindler , S. Typel

We present an inference of the nuclear symmetry energy magnitude $J$, the slope $L$ and the curvature $K_{\rm sym}$ by combining neutron skin data on Ca, Pb and Sn isotopes and our best theoretical information about pure neutron matter…

Nuclear Theory · Physics 2021-06-30 William G. Newton , Gabriel Crocombe

We show that the Liquid Drop Model is best suited to describe the masses of prolate deformed nuclei than of spherical nuclei. To this end three Liquid Drop Mass formulas are employed to describe nuclear masses of eight sets of nuclei with…

Nuclear Theory · Physics 2015-05-30 Jorge G. Hirsch , Cesar Barbero , Alejandro E. Mariano

The density dependence of nuclear symmetry energy remains poorly constrained. Starting from precise empirical values of the nuclear volume and surface symmetry energy coefficients and the nuclear saturation density, we show how in the ambit…

Nuclear Theory · Physics 2015-06-12 B. K. Agrawal , J. N. De , S. K. Samaddar

We analyze the neutron skin thickness in finite nuclei with the droplet model and effective nuclear interactions. The ratio of the bulk symmetry energy J to the so-called surface stiffness coefficient Q has in the droplet model a prominent…

Nuclear Theory · Physics 2009-09-01 M. Warda , X. Vinas , X. Roca-Maza , M. Centelles

To improve the constraints of symmetry energy at subsaturation density, measuring and accumulating more neutron skin data for neutron rich unstable nuclei is naturally required. Aiming to probe the neutron skin of unstable nuclei by using…

Nuclear Theory · Physics 2023-04-25 Junping Yang , Xiang Chen , Ying Cui , Zhuxia Li , Yingxun Zhang

The neutron skin thickness $\Delta r_{\rm{np}}$ of heavy nuclei is essentially determined by the symmetry energy density slope $L({\rho })$ at $\rho_c = 0.11~{\rm {fm}^{-3}}\approx 2/3\rho_0$ ($\rho_0$ is nuclear saturation density),…

Nuclear Theory · Physics 2022-06-13 Tong-Gang Yue , Lie-Wen Chen , Zhen Zhang , Ying Zhou

We propose a semi-empirical nuclear mass formula based on the macroscopic-microscopic method in which the isospin and mass dependence of model parameters are investigated with the Skyrme energy density functional. The number of model…

Nuclear Theory · Physics 2010-05-12 Ning Wang , Min Liu , Xizhen Wu

Background: The density dependence of nuclear symmetry energy is crucial in determining several properties of finite nuclei to the neutron stars with mass $\sim$ 1.4 $M_\odot$. The values of neutron skin thickness, isovector giant dipole…

Nuclear Theory · Physics 2023-03-23 T. Ghosh , Sangeeta , G. Saxena , B. K. Agrawal , Ushasi Datta

We tabulate the atomic mass excesses and binding energies, ground-state shell-plus-pairing corrections, ground-state microscopic corrections, and nuclear ground-state deformations of 9318 nuclei ranging from $^{16}$O to $A=339$. The…

Nuclear Theory · Physics 2016-05-04 P. Moller , A. J. Sierk , T. Ichikawa , H. Sagawa

Semi-empirical mass formula of the atomic nucleus describe binding energies of the nuclei. In the simple form of this formula, there are five terms related to the properties of the nuclear structure. The coefficients in each terms can be…

Nuclear Theory · Physics 2016-12-12 Serkan Akkoyun , Tuncay Bayram

An analytic phenomenological shell model mass formula for light nuclei is constructed., The formula takes into account the non locality of the self consistent single particle potential and the special features of light nuclei, namely: a)…

Nuclear Theory · Physics 2012-07-26 Mariano Bauer , Hugo Garcia Tecocoatzi , Cristian Mojica
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