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Title: New Microscopic foundation of Interacting Boson Model and collectivities in exotic nuclei

Abstract

We propose a novel way of determining the Hamiltonian of the Interacting Boson Model (IBM), based on the Mean-field theory. The quadrupole deformations in a fermion system, indicated by a Potential Energy Surface (PES) obtained by the constrained Skyrme Hartree-Fock calculations, are mapped, to a good approximation, onto the appropriate boson system. A merit is that levels and wave functions of excited states are calculated with the exact treatments of angular momentum and particle number. The validity of the process is examined for Sm and Ba isotopes, and predictions are made for unexplored territories on the nuclear chart, namely the right-lower corner of {sup 208}Pb.

Authors:
;  [1];  [1]
  1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)
Publication Date:
OSTI Identifier:
21255430
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1090; Journal Issue: 1; Conference: 13. international symposium on capture gamma-ray spectroscopy and related topics, Cologne (Germany), 25-29 Aug 2008; Other Information: DOI: 10.1063/1.3087035; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANGULAR MOMENTUM; BARIUM ISOTOPES; BOSONS; COLLECTIVE MODEL; DENSITY FUNCTIONAL METHOD; EXCITED STATES; FERMIONS; HADRONIC ATOMS; HAMILTONIANS; HARTREE-FOCK METHOD; INTERACTING BOSON MODEL; LEAD 208; MEAN-FIELD THEORY; PERIPHERAL MODELS; POTENTIAL ENERGY; QUADRUPOLES; SAMARIUM ISOTOPES; SKYRME POTENTIAL; WAVE FUNCTIONS

Citation Formats

Nomura, K, Shimizu, N, Otsuka, T, Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, 351-0198 Saitama, and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI. New Microscopic foundation of Interacting Boson Model and collectivities in exotic nuclei. United States: N. p., 2009. Web. doi:10.1063/1.3087035.
Nomura, K, Shimizu, N, Otsuka, T, Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, 351-0198 Saitama, & National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI. New Microscopic foundation of Interacting Boson Model and collectivities in exotic nuclei. United States. https://doi.org/10.1063/1.3087035
Nomura, K, Shimizu, N, Otsuka, T, Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, 351-0198 Saitama, and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI. 2009. "New Microscopic foundation of Interacting Boson Model and collectivities in exotic nuclei". United States. https://doi.org/10.1063/1.3087035.
@article{osti_21255430,
title = {New Microscopic foundation of Interacting Boson Model and collectivities in exotic nuclei},
author = {Nomura, K and Shimizu, N and Otsuka, T and Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033 and RIKEN, Hirosawa, Wako-shi, 351-0198 Saitama and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI},
abstractNote = {We propose a novel way of determining the Hamiltonian of the Interacting Boson Model (IBM), based on the Mean-field theory. The quadrupole deformations in a fermion system, indicated by a Potential Energy Surface (PES) obtained by the constrained Skyrme Hartree-Fock calculations, are mapped, to a good approximation, onto the appropriate boson system. A merit is that levels and wave functions of excited states are calculated with the exact treatments of angular momentum and particle number. The validity of the process is examined for Sm and Ba isotopes, and predictions are made for unexplored territories on the nuclear chart, namely the right-lower corner of {sup 208}Pb.},
doi = {10.1063/1.3087035},
url = {https://www.osti.gov/biblio/21255430}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1090,
place = {United States},
year = {Wed Jan 28 00:00:00 EST 2009},
month = {Wed Jan 28 00:00:00 EST 2009}
}