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We study binding energies in three isotopic chains ($^{100-130}$Sn, $^{152-181}$Yb, and $^{181-202}$Pb) using the extended pairing model with Nilsson single-particle energies. The exactly solvable nature of the model means that the pairing…

Nuclear Theory · Physics 2007-05-23 V. G. Gueorguiev , Feng Pan , J. P. Draayer

We study the quadrupole moments and the B(E2; $2^+ \rightarrow 0^+$) values for the ${11/2}^-$ states and the first $2^+$ states, respectively, by using a multi-j generalized seniority approach in the Cd (Z = 48), Sn (Z = 50) and Te (Z =…

Nuclear Theory · Physics 2019-10-02 Bhoomika Maheshwari , Hasan Abu Kassim , Norhasliza Yusof , Ashok Kumar Jain

Proton and neutron densities have been obtained for the even-even isotopes of Sn from $^{100}$Sn to $^{176}$Sn using a Hartree-Fock-Bogoliubov model with a Skyrme interaction. The matter densities so defined have been used with realistic…

Nuclear Theory · Physics 2009-11-10 K. Amos , S. Karataglidis , J. Dobaczewski

We calculate a new equation of state for baryons at sub-nuclear densities meant for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with the thermodynamic quantities. The…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Shun Furusawa , Shoichi Yamada , Kohsuke Sumiyoshi , Hideyuki Suzuki

The knowledge of the nuclear level density is necessary for understanding various reactions including those in the stellar environment. Usually the combinatorics of Fermi-gas plus pairing is used for finding the level density. Recently a…

Nuclear Theory · Physics 2016-06-22 Roman Sen'kov , Vladimir Zelevinsky

We have performed two kinds of non-linear fitting procedures to the single-particle energies in the $sdgh$ major shell to obtain better shell model results. The low-lying energy eigenvalues of the light Sn isotopes with $A=103-110$ in the…

Nuclear Theory · Physics 2015-02-13 E. Dikmen , O. Öztürk , Y. Cengiz

A mean field calculation is carried out to obtain the equation of state (EoS) of nuclear matter from a density dependent M3Y interaction (DDM3Y). The energy per nucleon is minimized to obtain ground state of the symmetric nuclear matter…

Nuclear Theory · Physics 2008-09-04 D. N. Basu , P. Roy Chowdhury , C. Samanta

We utilize a nuclear shell model Hamiltonian with only two adjustable parameters to generate, for the first time, exact solutions for pairing correlations for light to medium-mass nuclei, including the challenging proton-neutron pairs,…

Nuclear Theory · Physics 2019-12-18 M. E. Miora , K. D. Launey , D. Kekejian , F. Pan , J. P. Draayer

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

The effect of temperature and density dependence of the asymmetric nuclear matter properties is studied within the extended relativistic mean field (ERMF) model, which includes the contribution from the self and mixed interaction terms by…

Nuclear Theory · Physics 2011-10-14 Mahajan Gulshan , Shashi K. Dhiman

In Starrett and Saumon [Phys. Rev. E 87, 013104 (2013)] a model for the calculation of electronic and ionic structures of warm and hot dense matter was described and validated. In that model the electronic structure of one "atom" in a…

Plasma Physics · Physics 2015-06-22 C. E. Starrett , D. Saumon , J. Daligault , S. Hamel

The heaviest N=Z doubly-magic nucleus, $^{100}$Sn, and the neighboring nuclei offer unique opportunities to investigate the properties of nuclear interaction in extreme conditions. In particular, the Cd isotopes are expected to present…

The energy density is calculated in coordinate space for $^{12}$C, $^{40}$Ca, $^{48}$Ca, and $^{208}$Pb using a dispersive optical model constrained by all relevant data including the corresponding energy of the ground state. The energy…

Nuclear Theory · Physics 2020-11-04 M. C. Atkinson , W. H. Dickhoff , M. Piarulli , A. Rios , R. B. Wiringa

Sr isotopes are located in the mass region $A\approx 100$, where a very quick onset of nuclear deformation exists, being other notable examples of this area Yb, Zr, and Nb nuclei. The presence of the proton subshell closure $Z=40$ allows…

Nuclear Theory · Physics 2022-04-13 Esperanza Maya-Barbecho , José Enrique García-Ramos

A simple expression is obtained for the low temperature behavior of the energy and entropy of finite nuclei for $20\leq A\leq 250$. The dependence on $A$ of these quantities is for the most part due to the presence of the asymmetry energy.

Nuclear Theory · Physics 2015-05-13 S. M. M. Coelho , C. Zander , H. g. Miller

Ab initio approaches to the nuclear many-body problem have seen their reach considerably extended over the past decade. However, collective excitations have been scarcely addressed so far due to the prohibitive cost of solving the…

Nuclear Theory · Physics 2023-02-22 Y. Beaujeault-Taudière , M. Frosini , J. -P. Ebran , T. Duguet , R. Roth , V. Somà

An equation of state (EOS) for uniform asymmetric nuclear matter (ANM) is constructed at zero and finite temperatures by the variational method starting from the nuclear Hamiltonian that is composed of the Argonne v18 and Urbana IX…

Nuclear Theory · Physics 2014-01-24 H. Togashi , M. Takano

In this work, we have done a completely microscopic calculation using a many-body variational method based on the cluster expansion of energy to compute the asymmetry energy of nuclear matter. In our calculations, we have employed the…

Nuclear Theory · Physics 2015-09-29 G. H. Bordbar , R. Feridoonnezhad , M. Taghizade

The evaluation of the sub-saturation nuclear equation of state at finite temperature requires a proper state counting of the internal partition sum of nuclei which are immersed in the background of their continuum states. This classical…

Nuclear Theory · Physics 2021-01-20 S. Mallik , F. Gulminelli