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Related papers: Partial conservation of seniority in nuclei

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Pseudopsin has been shown to be approximately conserved in nuclei. We investigate whether or not there is an advantage in using the pseudospin operators as well as the spin operators in the description of the nucleon-nucleon interaction. We…

Nuclear Theory · Physics 2008-07-28 Joeph N. Ginocchio

The behavior of spin doublets is known to play a major role in nuclear structure and shell effects. Pseudo-spin doublets are also known to impact the single-particle spectrum. The covariant framework, having these two effects encoded in its…

Nuclear Theory · Physics 2025-02-03 L. Heitz , J. P. Ebran , E. Khan

A partial conservation of the seniority quantum number in $j=9/2$ shells has been found recently in a numerical application. In this paper a complete analytic proof for this problem is derived as an extension of the work by Zamick and P.…

Nuclear Theory · Physics 2012-05-22 Chong Qi , Z. X. Xu , R. J. Liotta

Pseudo-spin symmetry in nuclei is investigated considering the Dirac equation with a Lorentz structured Woods-Saxon potential. The isospin correlation of the energy splittings of pseudo-spin partners with the nuclear potential parameters is…

Nuclear Theory · Physics 2009-11-06 P. Alberto , M. Fiolhais , M. Malheiro , A. Delfino , M. Chiapparini

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

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

Nuclear pairing interaction plays a crucial role in both macroscopic-microscopic and fully macroscopic descriptions of nuclei. In the present study we discuss different pairing interactions (monopole and delta pairing forces) and the…

Nuclear Theory · Physics 2008-11-26 A. Baran , Z. Lojewski , K. Sieja

Pseudospin symmetry in nuclei is investigated by solving the Dirac equation with Woods-Saxon scalar and vector radial potentials, and studying the correlation of the energy splittings of pseudospin partners with the nuclear potential…

Nuclear Theory · Physics 2009-11-07 P. Alberto , M. Malheiro , A. Delfino , M. Fiolhais , M. Chiapparini

Pairing plays a crucial role in nuclear spectra and attempts to describe it has a long history in nuclear physics. The limiting case in which all single particle states are degenerate, but with different s-wave pairing strengths was only…

Nuclear Theory · Physics 2011-02-18 A. B. Balantekin , Y. Pehlivan

A spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter {\varepsilon} interpolating between quantum and classical reservoir features. We derive the explicit expression for the time-dependent…

Quantum Physics · Physics 2024-12-11 Michele Correggi , Marco Falconi , Michele Fantechi , Marco Merkli

Effects of pairing with isospin $T=0$ and $T=1$ are systematically studied in a model, which is based on a realistic nucleon-nucleon interaction and allows to describe the transition from infinite nuclear matter to finite nuclei. Special…

Nuclear Theory · Physics 2019-03-27 Herbert Müther , Artur Polls

Detailed description of nuclei necessitates model Hamiltonians which break most dynamical symmetries. Nevertheless, generalized notions of partial and quasi dynamical symmetries may still be applicable to selected subsets of states, amidst…

Nuclear Theory · Physics 2015-12-15 A. Leviatan , M. Macek

Simple generic aspects of nuclear pairing in homogeneous medium as well as in finite nuclei are discussed. It is argued that low-energy nuclear structure is not sensitive enough to resolve fine details of nuclear nucleon-nucleon (NN)…

Nuclear Theory · Physics 2009-11-11 Wojciech Satula

The concept of partial symmetry is introduced for an interacting fermion system. The associated Hamiltonians are shown to be closely related to a realistic nuclear quadrupole-quadrupole interaction. An application to $^{12}$C is presented.

Nuclear Theory · Physics 2017-08-23 Jutta Escher

The properties of the pairing interaction in the shell model framework are considered with the aid of the exact numerical solution utilizing the quasispin symmetry. We emphasize the features which are out of reach for the usual approximate…

Nuclear Theory · Physics 2009-11-07 Alexander Volya , Vladimir Zelevinsky , B. Alex Brown

The weak interaction does not conserve parity, which is apparent in many nuclear and atomic phenomena. However, thus far, parity nonconservation has not been observed in molecules. Here we consider nuclear-spin-dependent parity…

Pairing plays an essential role in describing nuclear spectra and attempts to describe it has a long history in nuclear physics. Many theoretical tools were developed to treat the pairing problem either exactly or at various levels of…

Nuclear Theory · Physics 2019-01-30 A. B. Balantekin

Nuclear pairing properties are studied within an approach that includes the quasiparticle-number fluctuation (QNF) and coupling to the quasiparticle-pair vibrations at finite temperature and angular momentum. The formalism is developed to…

Nuclear Theory · Physics 2009-01-01 N. Quang Hung , N. Dinh Dang

Symmetry plays a fundamental role in physics. The quasi-degeneracy between single-particle orbitals $(n, l, j = l + 1/2)$ and $(n-1, l + 2, j = l + 3/2)$ indicates a hidden symmetry in atomic nuclei, the so-called pseudospin symmetry (PSS).…

Nuclear Theory · Physics 2015-03-10 Haozhao Liang , Jie Meng , Shan-Gui Zhou