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Nuclear isomers are the metastable excited states of nuclei. The isomers can be categorized into a few classes including spin, seniority, \emph{K}, shape and fission isomers depending upon the hindrance mechanisms. In this paper, we aim to…

Nuclear Theory · Physics 2024-01-23 Bhoomika Maheshwari , Kosuke Nomura

For a system with three identical nucleons in a single-$j$ shell, the states can be written as the angular momentum coupling of a nucleon pair and the odd nucleon. The overlaps between these non-orthonormal states form a matrix which…

Nuclear Theory · Physics 2014-11-21 Chong Qi , X. B. Wang , Z. X. Xu , R. J. Liotta , R. Wyss , F. R. Xu

In this contribution we study the even-even Sr isotopes considering the influence of particle-hole intruder states. We find that the rapid onset of deformation at A $=98$ and onwards can be explained by the crossing of regular and intruder…

Nuclear Theory · Physics 2023-10-31 Esperanza Maya-Barbecho , José-Enrique García-Ramos

A discussion of the seniority quantum number in many-body systems is presented. The analysis is carried out for bosons and fermions simultaneously but is restricted to identical particles occupying a single shell. The emphasis of the paper…

Nuclear Theory · Physics 2014-07-16 P. Van Isacker , S. Heinze

The generalized seniority scheme has long been proposed as a means of dramatically reducing the dimensionality of nuclear shell model calculations, when strong pairing correlations are present. However, systematic benchmark calculations,…

Nuclear Theory · Physics 2012-03-23 M. A. Caprio , F. Q. Luo , K. Cai , V. Hellemans , C. Constantinou

New experimental data on 2+ energies of 136,138Sn confirms the trend of lower 2+ excitation energies of even-even tin isotopes with N > 82 compared to those with N< 82. However, none of the theoretical predictions using both realistic and…

Nuclear Theory · Physics 2014-11-11 M. Saha Sarkar , S. Sarkar

Excited states in low-energy spectra in $^{70-76}$Ni are considered. To this end, pairing forces in form of surface delta interaction are employed to account for formation of the ground state multiplet with seniority $\nu = 2$ states. The…

Nuclear Theory · Physics 2023-12-11 S. Sidorov , D. Zhulyaeva , T. Tretyakova

Neutron-rich Sr nuclei around N=60 exhibit a sudden shape transition from spherical ground state to strongly prolate-deformed. Recently, a lot of new insight into the structure of Sr isotopes in this region was gained through experimental…

Nuclear Theory · Physics 2022-01-20 Kamila Sieja

Spectrum and electric dipole transition rates and relative intensities in $^{152-154}$Sm, $^{156-160}$Gd, $^{160-162}$Dy are studied in the framework of the interacting boson model with s,p,d,f bosons. It is found that E1 transition data…

Nuclear Theory · Physics 2009-10-31 Hua Ying Ji , Gui Lu Long , En Guang Zhao , Shu Wei Xu

We have recently applied the generalized seniority approach successfully to explain the B(E1)/B(E2)/B(E3) properties of the semi-magic nuclei. In the present paper, we extend this approach to the Schmidt model as Generalized Seniority…

Nuclear Theory · Physics 2019-05-22 Bhoomika Maheshwari , Ashok Kumar Jain

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

We point out the possibility of the {\em partial} conservation of the seniority quantum number when most eigenstates are mixed in seniority but some remain pure. This situation occurs in nuclei for the $g_{9/2}$ and $h_{9/2}$ shells where…

Nuclear Theory · Physics 2008-11-26 P. Van Isacker , S. Heinze

We present a comparative study of the high-spin ${11/2}^-$, ${10}^+$ and ${27/2}^-$ nuclear isomers, observed commonly in the full semi-magic $Z=50$ isotopic and $N=82$ isotonic chains, which are found to display nearly identical…

Nuclear Theory · Physics 2015-06-02 Bhoomika Maheshwari , Ashok Kumar Jain

Quantum phase transitions in a system of N bosons with angular momentum L=0,2 (s,d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion…

Nuclear Theory · Physics 2013-04-16 D. Petrellis , A. Leviatan , F. Iachello

Quantum shape-phase transitions in odd-even nuclei are investigated in the framework of the interacting boson-fermion model. Classical and quantum analysis show that the presence of the odd fermion strongly influences the location and…

Nuclear Theory · Physics 2011-10-05 A. Leviatan , D. Petrellis , F. Iachello

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , L. Fortunato , A. Vitturi

A recent analysis of experimental energy systematics suggests that all collective nuclei fall into one of three classes -- seniority, anharmonic vibrational, or rotational -- with sharp phase transitions between them. We investigate the…

Nuclear Theory · Physics 2009-10-30 R. Bijker , A. Frank , S. Pittel

The g_{9/2} shell of identical particles is the first one for which one can have seniority-mixing effects. We consider three interactions: a delta interaction that conserves seniority, a quadrupole-quadrupole (QQ) interaction that does not,…

Nuclear Theory · Physics 2009-11-11 A. Escuderos , L. Zamick