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Background: Understanding the experimental $B(E2)$ values for Sn isotopes around $^{110}$Sn has been a significant challenge in nuclear structure studies for over a decade. Both experimental data and many, though not all, calculations…

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

We observe various robust linear correlations related to neutron skin thickness ($\Delta R_{\rm np}$) within different interaction ensembles, including newly proposed random Skyrme ensemble. The robust linear correlation between $\Delta…

Nuclear Theory · Physics 2025-03-19 Y. Lei , X. Lian , C. L. Bai

We study shape coexistence and low-energy excitation spectra in neutron-deficient Pb isotopes using configuration mixing of angular-momentum and particle-number projected self-consistent mean-field states. The same Skyrme interaction SLy6…

Nuclear Theory · Physics 2007-05-23 M. Bender , P. Bonche , T. Duguet , P. -H. Heenen

Numerical simulation on nuclear collisions are performed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) in the three-dimensional coordinate space. Comparing results of the Cb-TDHFB and the conventional…

Nuclear Theory · Physics 2014-08-12 Shuichiro Ebata , Takashi Nakatsukasa

The giant halos predicted in neutron-rich Zr isotopes with $A=124-138$ are investigated by using the self-consistent continuum Skyrme Hartree-Fock-Bogoliubov approach, in which the asymptotic behavior of continuum quasiparticle states is…

Nuclear Theory · Physics 2013-10-08 Y. Zhang , M. Matsuo , J. Meng

We investigate the impact of pairing correlations on the behavior of unstable asymmetric nuclear matter at low temperature. We focus on the relative role of the pairing interaction, coupling nucleons of the same type (neutrons or protons),…

Nuclear Theory · Physics 2015-06-18 Stefano Burrello , Maria Colonna , Francesco Matera

The Hartree-Fock-Bogoliubov (HFB) equations in coordinate representation are solved exactly, i.e., with correct asymptotic boundary conditions for the continuous spectrum. The calculations are preformed with effective Skyrme interactions.…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Sandulescu , Nguyen Van Giai , R. J. Liotta

The shell effect and isospin effect in nuclear charge radii are systematically investigated and a four-parameter formula is proposed for the description of the root-mean-square (rms) charge radii by combining the shell corrections and…

Nuclear Theory · Physics 2013-08-07 Ning Wang , Tao Li

A mass formula (BWM) without shell effect is employed to study the variation of the shell effect in Pb isotopes through comparison with the experimental data. Unlike other macroscopic formulae, the BWM reproduces the general trend of the…

Nuclear Theory · Physics 2009-11-10 C. Samanta , S. Adhikari

We revisit the studies of the isotopic shift in the charge radii of {\it even-even} isotopes of Sn and Pb nuclei at $N$ = 82, and 126, respectively, within the relativistic mean-field and Relativistic-Hartree-Bogoliubov approach. The shell…

Nuclear Theory · Physics 2021-07-07 M. Bhuyan , B. Maheshwari , H. A. Kassim , N. Yusof , S. K. Patra , B. V. Carlson , P. D. Stevenson

We explore isospin mixing beyond that due to the Coulomb interaction in the framework of an exactly solvable microscopic sp(4) algebraic approach. Specifically, we focus on the isospin non-conserving part of the pure nuclear pairing…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer

We study Fermi transitions and isospin mixing in an isotopic chain 70-78 Kr considering various approximations that use the same Skyrme-Hartree-Fock single particle basis. We study Coulomb effects as well as the effect of BCS and…

Nuclear Theory · Physics 2009-11-11 R. Alvarez-Rodriguez , E. Moya de Guerra , P. Sarriguren

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

We survey odd-even nuclear binding energy staggering using density functional theory with several treatments of the pairing interaction including the BCS, Hartree-Fock-Bogoliubov, and the Hartree-Fock-Bogoliubov with the Lipkin-Nogami…

Nuclear Theory · Physics 2011-12-02 G. F. Bertsch , C. A. Bertulani , W. Nazarewicz , N. Schunck , M. V. Stoitsov

Nuclear pairing is studied both in atomic nuclei and in neutron-star crusts in the unified framework of the energy-density functional theory using generalized Skyrme functionals complemented with a local pairing functional obtained from…

Nuclear Theory · Physics 2017-08-23 N. Chamel , J. M. Pearson , S. Goriely

Throughout the nuclear chart, particle-hole correlations give rise to giant resonances and, together with the proton-neutron interaction, deformation and rotational bands. In order to shed light on many-body correlations in open-shell…

Nuclear Theory · Physics 2024-10-24 José Nicolás Orce

In this work, we first analyze the correlations among different nuclear matter parameters which are obtained by the 119 effective Skyrme interaction sets. The values of the correlation coefficients illustrate that the magnitude of the…

Shell quenching phenomena in nuclear charge radii are typically observed at the well-established neutron magic numbers. However, the recent discovery of potential new magic numbers at the neutron numbers $N = 32$ and $N = 34$ has sparked…

Nuclear Theory · Physics 2024-12-18 Dan Yang , Yu-Ting Rong , Rong An , Rui-Xiang Shi
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