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Shapes and high-spin properties of nuclei from the neutron-rich (N>56) zirconium region are calculated using the Nilsson-Strutinsky method with the cranked Woods-Saxon average potential and monopole pairing residual interaction. The shape…

Nuclear Theory · Physics 2009-10-30 J. Skalski , S. Mizutori , W. Nazarewicz

We propose a procedure to determine the effective nuclear shell-model Hamiltonian in a truncated space from a self-consistent mean-field model, e.g., the Skyrme model. The parameters of pairing plus quadrupole-quadrupole interaction with…

Nuclear Theory · Physics 2009-09-28 Kazunari Kaneko , Takahiro Mizusaki , Yang Sun , Munetake Hasegawa

Nuclei exhibit both single-particle and collective degrees of freedom, with the latter often subdivided into vibrational and rotational motions. Experimentally identifying the relative roles of these collective modes is extremely…

Nuclear Theory · Physics 2020-11-11 J. Henderson

We investigate the isotopes of Se, Zr, Mo and Nd in the regions with N = 40, 60 and 90, where a first-order shape / phase transition, from spherical to deformed, can be observed. The signs of phase transitional behavior become evident by…

A study of the shape transition from spherical to axially deformed nuclei in the even Ce isotopes using the nucleon-pair approximation of the shell model is reported. As long as the structure of the dominant collective pairs is determined…

Nuclear Theory · Physics 2015-06-05 Y. Lei , S. Pittel , G. J. Fu , Y. M. Zhao

The feasibility of shell-model calculations is radically extended by the Quantum Monte Carlo Diagonalization method with various essential improvements. The major improvements are made in the sampling for the generation of shell-model basis…

Nuclear Theory · Physics 2008-11-26 Michio Honma , Takahiro Mizusaki , Takaharu Otsuka

The mean-field approximation predicts pairing and shape phase transitions in nuclei as a function of temperature or excitation energy. However, in the finite nucleus the singularities of these phase transitions are smoothed out by quantal…

Nuclear Theory · Physics 2015-06-11 Y. Alhassid , C. Özen , H. Nakada

Deformed shell model (DSM) based on Hartree-Fock intrinsic states is applied to address two current problems of interest. Firstly, in the $f_{5/2}pg_{9/2}$ model space with jj44b effective interaction along with isospin projection, DSM is…

Nuclear Theory · Physics 2016-10-11 R. Sahu , V. K. B. Kota

A symplectic no-core shell model (Sp-NCSM) is constructed with the goal of extending the {\it ab-initio} NCSM to include strongly deformed higher-oscillator-shell configurations and to reach heavier nuclei that cannot be studied currently…

Even--even nuclei in the $A\sim100$ mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum,…

Nuclear Theory · Physics 2012-01-27 M. Böyükata , P. Van Isacker , I. Uluer

In this review, we describe the experimental facilities and methods which make it possible to produce and measure the properties of the extreme neutron rich nuclei. We then develop the theoretical framework that will accompany us along the…

Nuclear Theory · Physics 2021-06-11 Frédéric Nowacki , Alexandre Obertelli , Alfredo Poves

We report on the development of a new shell-model Monte Carlo algorithm which uses the proton-neutron formalism. Shell model Monte Carlo methods, within the isospin formulation, have been successfully used in large-scale shell-model…

Nuclear Theory · Physics 2015-06-26 C. Ozen , D. J. Dean

The state-of-the-art ab initio nuclear many-body approaches with modern nuclear forces are challenged by the recent experimental measurement of the monopole form factor of the $0^+_1\rightarrow 0^+_2$ transition in the $\alpha$ particle…

Nuclear Theory · Physics 2025-10-17 P. Yin , A. M. Shirokov , H. Li , B. Zhou , X. Zhao , S. Bacca , J. P. Vary

The systematic change of shell structure in both weakly bound and resonant neutron one-particle levels in nuclei towards the neutron drip line is exhibited, solving the coupled equations derived from the Schr\"{o}dinger equation in…

Nuclear Theory · Physics 2011-02-18 Ikuko Hamamoto

Shape coexistence has been a subject of great interest in nuclear physics for many decades. In the context of the nuclear shell model, intruder excitations may give rise to remarkably low-lying excited $0^+$ states associated with different…

Nuclear Theory · Physics 2017-02-17 K. Nomura , T. Otsuka , P. Van Isacker

Variations in the nuclear mean-field, in neutron-rich nuclei, are investigated within the framework of the nuclear shell model. The change is identified to originate mainly from the monopole part of the effective two-body proton-neutron…

Nuclear Theory · Physics 2009-11-10 N. A. Smirnova , A. De Maesschalck , A. Van Dyck , K. Heyde

A general shell model formalism for the nonmesonic weak decay of the hypernuclei has been developed. It involves a partial wave expansion of the emitted nucleon waves, preserves naturally the antisymmetrization between the escaping…

Nuclear Theory · Physics 2007-05-23 C. Barbero , D. Horvat , F. Krmpotic , T. T. S. Kuo , Z. Naranvcic , D. Tadić

We investigate nuclear shape coexistence for a wide range of even-even nuclides. By varying general pair condensates, which include Slater determinants as a limit but also allow for arbitrary pairing channels, we frequently find multiple…

Nuclear Theory · Physics 2024-11-28 Y. Lei , J. Qi , Y. Lu , H. Jiang , Z. Z. Qin , D. Liu , Calvin W. Johnson

Coexistence of different geometric shapes at low energies presents a universal structure phenomenon that occurs over the entire chart of nuclides. Studies of the shape coexistence are important for understanding the microscopic origin of…

Nuclear Theory · Physics 2017-06-07 S. Quan , Q. Chen , Z. P. Li , T. Niksic , D. Vretenar

Spectroscopic calculations are carried out, for the description of the shape/phase transition in Pt nuclei in terms of the Interacting Boson Model (IBM) Hamiltonian derived from (constrained) Hartree-Fock-Bogoliubov (HFB) calculations with…

Nuclear Theory · Physics 2011-03-02 K. Nomura , T. Otsuka , R. Rodriguez-Guzman , L. M. Robledo , P. Sarriguren
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