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An exactly solvable sp(4) algebraic approach extends beyond the traditional isospin conserving nuclear interaction to bring forward effects of isospin symmetry breaking and isospin mixing resulting from a two-body nuclear interaction that…

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

A fermion realization of the compact symplectic sp(4) algebra provides a natural framework for studying isovector pairing correlations in nuclei. While these correlations manifest themselves most clearly in the binding energies of 0^+…

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

An algebraic sp(4) shell model is introduced to achieve a deeper understanding and interpretation of the properties of pairing-governed 0+ states in medium mass atomic nuclei. The theory, which embodies the simplicity of a dynamical…

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

The isospin breaking effects due to the Coulomb interaction in weakly-bound nuclei are studied using the Gamow Shell Model, a complex-energy configuration interaction approach which simultaneously takes into account many-body correlations…

Nuclear Theory · Physics 2011-01-21 N. Michel , W. Nazarewicz , M. Ploszajczak

The importance of the isospin symmetry and its breaking in elucidating the properties of atomic nuclei is reviewed. The quark mass splitting and the electromagnetic origin of the isospin symmetry breaking (ISB) for nuclear many-body problem…

Nuclear Theory · Physics 2024-05-09 J. A. Sheikh , S. P. Rouoof , R. N. Ali , N. Rather , Chandan Sarma , P. C. Srivastava

We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects…

Nuclear Theory · Physics 2009-09-02 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

We calculate the isospin-mixing parameter for several Tz=-1, Tz=0 and Tz=1 nuclei from Mg to Sn in the particle-number conserving Higher Tamm-Dancoff approach taking into account the pairing correlations. In particular we investigate the…

Nuclear Theory · Physics 2007-05-23 L. Bonneau , J. Bartel , P. Quentin

The question of isospin-symmetry breaking in nuclei of the $sd$ shell is addressed. We propose a new global parameterization of the isospin-nonconserving (INC) shell-model Hamiltonian which accurately describes experimentally known isobaric…

Nuclear Theory · Physics 2013-07-02 Yi Hua Lam , Nadezda A. Smirnova , Etienne Caurier

This study presents a systematic investigation of the effects of isospin, including both T=0 and T=/0 components, on nucleon pairing correlations in fp-shell nuclei. To this aim, the interacting boson model-4, which explicitly incorporates…

Nuclear Theory · Physics 2026-05-29 Hossein Emami , Hadi Sabri

In order to comprehend the process underlying mirror energy differences in mirror pairs, we have performed shell-model calculations for $T_z= \pm 2$ $sd$-shell nuclei in the mass range $A$= 20 to 36 and neutron number varying from $N$= 8 to…

Nuclear Theory · Physics 2025-12-23 Sakshi Shukla , Praveen C. Srivastava , Kazunari Kaneko

We explore, within the framework of an algebraic sp(4) shell model, discrete approximations to various derivatives of the energies of the lowest isovector-paired 0^+ states of atomic nuclei in the 40 <A < 100 mass range. The results show…

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

The recent experimental observation of isospin symmetry breaking (ISB) in the ground states of the $T=3/2$ mirror pair $^{73}$Sr - $^{73}$Br is theoretically studied using large-scale shell model calculations. The large valence space and…

Nuclear Theory · Physics 2020-09-23 S. M. Lenzi , A. Poves , A. O. Macchiavelli

Some results for two distinct but complementary exactly solvable algebraic models for pairing in atomic nuclei are presented: 1) binding energy predictions for isotopic chains of nuclei based on an extended pairing model that includes…

Nuclear Theory · Physics 2018-02-20 J. P. Draayer , V. G. Gueorguiev , K. D. Sviratcheva , C. Bahri , Feng Pan , A. I. Georgieva

Investigation of observables from nuclear multifragmentation reactions depending on isospin led to the development of a hybrid model. The mass and charge distribution as well as isotopic distribution was studied using this model for…

Nuclear Theory · Physics 2020-09-09 S. Mallik , G. Chaudhuri

A new method has been proposed for isolated two-level model to calculate isospin mixing probability in nuclei overcoming common limitations of usual shell model results with isoscalar nuclear Hamiltonian. The method is based on locating the…

Nuclear Theory · Physics 2023-07-11 Sukhendusekhar Sarkar

Isospin is an approximate symmetry in atomic nuclei, arising from the rather similar properties of protons and neutrons. Perhaps the clearest manifestation of isospin within nuclei is in the near-identical structure of excited states in…

Nuclear Experiment · Physics 2020-10-07 J. Henderson , S. R. Stroberg

The relativistic mean field theory in combination with the analytic continuation in the coupling constant method is used to determine the energies and widths of single-particle resonant states in Sn isotopes. It is shown that there exists…

Nuclear Theory · Physics 2009-11-11 Jian You Guo , Xiang Zheng Fang

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

In the present study, the effect of the pairing interaction and the isovector correlation between nucleons on the properties of the isobar analog resonances (IAR) in $^{112-124}$Sb isotopes and the isospin admixture in $^{100-124}$Sn…

Nuclear Theory · Physics 2008-11-26 T. Babacan , D. Salamov , A. Kucukbursa , H. Babacan , I. Maras , H. A. Aygor , A. Unal

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
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