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In the study of $\alpha$ decay within the superheavy nuclear region ($Z \geq 90$ and $N \geq 140$), the $\alpha$-particle preformation probability $P_{\alpha}$ serves as a crucial physical quantity linking nuclear structure to decay…

Nuclear Theory · Physics 2026-05-12 Xiao-Yan Zhu , Hao Zhang , Wei Gao , Wen-Jing Xing , Wen-Bin Lin , Xiao-Hua Li

Isospin symmetry in the $A=62$ mass system was investigated through Coulomb excitation reactions at the RIKEN Radioactive Isotope Beam Factory. Beams of $^{62}$Zn, $^{62}$Ga, and $^{62}$Ge were studied using the BigRIPS-ZeroDegree-DALI2$^+$…

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

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

In this work, the Coulomb mixing and the isospin mixing in the ground states of even-even nuclei are evaluated in perturbation theory. The calculation of the isospin mixing is performed by using the connection to isovector monopole…

Nuclear Theory · Physics 2019-01-16 Bui Minh Loc , Naftali Auerbach , G. Colò

In this work we study the contribution of the isoscalar tensor coupling to the realization of pseudospin symmetry in nuclei. Using realistic values for the tensor coupling strength, we show that this coupling reduces noticeably the…

Nuclear Theory · Physics 2009-11-10 P. Alberto , R. Lisboa , M. Malheiro , A. S. de Castro

We describe the ground state of the isovector pairing Hamiltonian in self-conjugate nuclei by a product of collective quartets of different structure built from two neutrons and two protons coupled to total isospin T=0. The structure of the…

Nuclear Theory · Physics 2015-06-18 M. Sambataro , N. Sandulescu

Correlated Basis Function theory and Fermi Hypernetted Chain technique are extended to study medium-heavy, doubly closed shell nuclei in j-j coupling scheme, with different single particle wave functions for protons and neutrons and isospin…

Nuclear Theory · Physics 2009-10-30 F. Arias de Saavedra , G. Co' , A. Fabrocini , S. Fantoni

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

Unlike their lighter counterparts, most odd-odd N=Z nuclei with mass A > 40 40 have ground states with isospin T=1, suggesting an increased role for the isovector pairing interaction. A simple SO(5) seniority-like model of this interaction…

Nuclear Theory · Physics 2008-11-26 J. Engel , K. Langanke , P. Vogel

We compute isospin-violating meson-nucleon coupling constants and their consequent charge-symmetry-breaking nucleon-nucleon potentials. The couplings result from evaluating matrix elements of quark currents between nucleon states in a…

Nuclear Theory · Physics 2008-11-26 S. Gardner , C. J. Horowitz , J. Piekarewicz

Using various relativistic mean-field models, including the nonlinear ones with meson field self-interactions, those with density-dependent meson-nucleon couplings, and the point-coupling models without meson fields, we have studied the…

Nuclear Theory · Physics 2008-11-26 Lie-Wen Chen , Che Ming Ko , Bao-An Li

Recently, we have applied for the first time the angular momentum and isospin projected nuclear density functional theory to calculate the isospin-symmetry breaking (ISB) corrections to the superallowed beta-decay. With the calculated set…

Nuclear Theory · Physics 2012-11-20 M. Rafalski , W. Satula

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

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

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

We investigate the extent to which theories of collective motion can capture the physics that determines the nuclear matrix elements governing neutrinoless double-beta decay. To that end we calculate the matrix elements for a series of…

Nuclear Theory · Physics 2016-02-17 J. Menéndez , N. Hinohara , J. Engel , G. Martínez-Pinedo , T. R. Rodríguez

The evolution of single-particle energies with varying isospin asymmetry in the shell model is an important issue when predicting changes in the shell structure for exotic nuclei. In many cases pseudospin partner levels, that are almost…

Nuclear Theory · Physics 2008-11-26 S. Typel

A cranked shell model approach for the description of rotational bands in $N\approx Z$ nuclei is formulated. The isovector neutron-proton pairing is taken into account explicitly. The concept of spontaneous breaking and subsequent…

Nuclear Theory · Physics 2009-10-31 Stefan G. Frauendorf , Javid A. Sheikh

$\alpha$ decay is a common and important process for natural radioactivity of heavy and superheavy nuclei. The $\alpha$ decay half-lives for even-even nuclei from Z=62 to Z=118 are systematically researched based on the two-potential…

Nuclear Theory · Physics 2019-04-22 Xiao-Dong Sun , Ping Guo , Xiao-Hua Li