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A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

Properties of density-dependent contact pairing interactions in nuclei are discussed. It is shown that the pairing interaction that is intermediate between surface and volume pairing forces gives the pairing gaps that are compatible with…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov

Two fits of the pairing residual interaction in the rare-earth region are independently performed. One is made on the odd-even staggering of masses by comparing measured and explicitly calculated three-point binding-energy differences…

We present the first application of statistical spectroscopy to study the root-mean-square value of the parity nonconserving (PNC) interaction matrix element M determined experimentally by scattering longitudinally polarized neutrons from…

Nuclear Theory · Physics 2009-10-31 S. Tomsovic , Mikkel B. Johnson , A. Hayes , J. D. Bowman

In the latest version of the QMC model, QMC$\pi$-III-T, the density functional is improved to include the tensor component quadratic in the spin-current and a pairing interaction derived in the QMC framework. Traditional pairing strengths…

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

We have studied strength in the BCS pairing force, used as a residual interaction to the relativistic mean-field to reproduce the height of the inner fission barriers for actinide nuclei. It was found that increasing the pairing strength by…

Nuclear Theory · Physics 2021-12-17 Taiki Kouno , Chikako Ishizuka , Tsunenori Inakura , Satoshi Chiba

I propose a new method to determine the strength of the isoscalar proton-neutron pairing interaction by a mathematical identity derived in the quasiparticle random-phase approximation. This method is applied for a few nuclei possibly having…

Nuclear Theory · Physics 2019-01-23 J. Terasaki

Pairing correlations play a very important role in atomic nuclei. Although several effective pairing interactions have been used in mean field calculations for nucleons, little is known about effective pairing interactions for hyperons.…

Nuclear Theory · Physics 2021-08-03 Yu-Ting Rong , Pengwei Zhao , Shan-Gui Zhou

A new method has been proposed to determine the strength of the isoscalar proton-neutron pairing interaction applicable to many nuclei. The principle is the equivalence between the double charge change and the double transfer of…

Nuclear Theory · Physics 2020-12-04 J. Terasaki

The low-energy nuclear structure and two-neutrino double-$\beta$ ($2\nu\beta\beta$) decay are studied within the interacting boson model (IBM) that is based on the nuclear energy density functional (EDF). The IBM Hamiltonian describing the…

Nuclear Theory · Physics 2024-08-16 Kosuke Nomura

This work aims at a global assessment of the effect of the density dependence of the zero-range pairing interaction. Systematic Skyrme-Hartree-Fock-Bogoliubov calculations with the volume, surface and mixed pairing forces are carried out to…

Nuclear Theory · Physics 2015-08-11 S. A. Changizi , Chong Qi

We introduce a general physical formulation that allows one to obtain uniquely the effectiveinteractions by contracting the bare forces, even in highly concentrated systems. We tested it bystudying depletion forces in two-dimensional binary…

The theory of self-consistent effective interactions in nuclei is extended for a system with a velocity dependent mean potential. By means of the field coupling method, we present a general prescription to derive effective interactions…

Nuclear Theory · Physics 2009-09-25 T. Kubo , H. Sakamoto , T. Kammuri , T. Kishimoto

A realistic nuclear mean-field hamiltonian with pairing has been diagonalized using Fock space representation that allows for nearly exact treatment of the problem. Calculations were performed for all the even-even nuclei with Z in (20,…

Nuclear Theory · Physics 2007-05-23 J. Dudek , K. Mazurek , B. Nerlo-Pomorska

We present and discuss some ideas concerning an ``average-pair-density functional theory'', in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin

Background: Collective excitations of nuclei and their theoretical descriptions provide an insight into the structure of nuclei. Replacing traditional phenomenological interactions with unitarily transformed realistic nucleon-nucleon…

Nuclear Theory · Physics 2014-09-03 Bastian Erler , Robert Roth

The matrix elements of the zero-range $\delta$-force and the finite range Gogny-type pairing force are compared. The strengths of the $\delta$-interaction for rare-earth nuclei are adjusted. Pairing gaps resulting from different pairing…

Nuclear Theory · Physics 2007-05-23 Andrzej Baran , Kamila Sieja

The pairing gaps, heat capacities and level densities are calculated within the BCS-based quasiparticle approach including the effect of thermal fluctuations on the pairing field within the pairing model plus noncollective rotation along…

Nuclear Theory · Physics 2012-07-25 N. Quang Hung , N. Dinh Dang

Excitation energies and transition probabilities of the first $2^+$ excitations in even tin and lead isotopes as well as the quadrupole moments of odd neighbors of these isotopes are calculated within the self-consistent Theory of Finite…

Nuclear Theory · Physics 2013-05-29 S. V. Tolokonnikov , S. Kamerdzhiev , D. Voytenkov , S. Krewald , E. E. Saperstein
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