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Collective quadrupole excitations in the 50 < Z, N < 82 nuclei with the general Bohr Hamiltonian

1998/05/23 by L. Prochniak, L. Próchniak, K. Zajac +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic physics #Bohr model #Classical mechanics #Hamiltonian (control theory) #Inertial frame of reference #Isotope #Mathematical physics #Mathematics #Nuclear physics research studies #Pairing #Parametrization (atmospheric modeling) #Physics #Quadrupole #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Wave function #Yrast #nucl-th

paper · pdf · doi:10.1016/s0375-9474(99)00023-8

published as Nucl. Phys. A648:181, 1999 · Latex2e source, 20 pages, 14 figures in EPS format, tar gzipped file

arxiv created 1998/05/23 · openalex publication_date 1999/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The generalized Bohr Hamiltonian is applied to a description of low-lying collective excitations in even-even isotopes of Te, Xe, Ba, Ce, Nd and Sm. The collective potential and inertial functions are determined by means of the Strutinsky method and the cranking model, respectively. A shell-dependent parametrization of the Nilsson potential is used. An approximate particle-number projection is performed in treatment of pairing correlations. The effect of coupling with the pairing vibrations is taken into account approximately when determining the inertial functions. The calculation does not contain any free parameter.

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