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Title: Quadrupole deformation ({beta},{gamma}) of light {Lambda} hypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of the {Lambda} hyperon

Abstract

The shapes of light normal nuclei and {Lambda} hypernuclei are investigated in the ({beta},{gamma}) deformation plane by using a newly developed constrained relativistic mean field (RMF) model. As examples, the results of some C, Mg, and Si nuclei are presented and discussed in details. We found that for normal nuclei the present RMF calculations and previous Skyrme-Hartree-Fock models predict similar trends of the shape evolution with the neutron number increasing. But some quantitative aspects from these two approaches, such as the depth of the minimum and the softness in the {gamma} direction, differ a lot for several nuclei. For {Lambda} hypernuclei, in most cases, the addition of a {Lambda} hyperon alters slightly the location of the ground state minimum toward the direction of smaller {beta} and softer {gamma} in the potential energy surface E{approx}({beta},{gamma}). There are three exceptions, namely, {sub {Lambda}}{sup 13}C, {sub {Lambda}}{sup 23}C, and {sub {Lambda}}{sup 31}Si in which the polarization effect of the additional {Lambda} is so strong that the shapes of these three hypernuclei are drastically different from their corresponding core nuclei.

Authors:
 [1];  [1];  [2];  [2];  [1];  [2]
  1. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China)
  2. (China)
Publication Date:
OSTI Identifier:
21596574
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.84.014328; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 13; DEFORMATION; DEFORMED NUCLEI; EXCEPTIONS; GROUND STATES; HARTREE-FOCK METHOD; HYPERNUCLEI; LIGHT NUCLEI; MEAN-FIELD THEORY; NEUTRONS; POLARIZATION; RELATIVISTIC RANGE; SILICON 31; SKYRME POTENTIAL; SURFACES; ADMINISTRATIVE PROCEDURES; APPROXIMATIONS; BARYONS; BETA DECAY RADIOISOTOPES; BETA-MINUS DECAY RADIOISOTOPES; CALCULATION METHODS; CARBON ISOTOPES; ELEMENTARY PARTICLES; ENERGY LEVELS; ENERGY RANGE; EVEN-ODD NUCLEI; FERMIONS; HADRONS; HOURS LIVING RADIOISOTOPES; ISOTOPES; NUCLEAR FRAGMENTS; NUCLEI; NUCLEON-NUCLEON POTENTIAL; NUCLEONS; POTENTIALS; RADIOISOTOPES; SILICON ISOTOPES; STABLE ISOTOPES

Citation Formats

Lu Bingnan, Zhao Enguang, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, School of Physics, Peking University, Beijing 100871, Zhou Shangui, and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000. Quadrupole deformation ({beta},{gamma}) of light {Lambda} hypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of the {Lambda} hyperon. United States: N. p., 2011. Web. doi:10.1103/PHYSREVC.84.014328.
Lu Bingnan, Zhao Enguang, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, School of Physics, Peking University, Beijing 100871, Zhou Shangui, & Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000. Quadrupole deformation ({beta},{gamma}) of light {Lambda} hypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of the {Lambda} hyperon. United States. doi:10.1103/PHYSREVC.84.014328.
Lu Bingnan, Zhao Enguang, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, School of Physics, Peking University, Beijing 100871, Zhou Shangui, and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000. Fri . "Quadrupole deformation ({beta},{gamma}) of light {Lambda} hypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of the {Lambda} hyperon". United States. doi:10.1103/PHYSREVC.84.014328.
@article{osti_21596574,
title = {Quadrupole deformation ({beta},{gamma}) of light {Lambda} hypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of the {Lambda} hyperon},
author = {Lu Bingnan and Zhao Enguang and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 and School of Physics, Peking University, Beijing 100871 and Zhou Shangui and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000},
abstractNote = {The shapes of light normal nuclei and {Lambda} hypernuclei are investigated in the ({beta},{gamma}) deformation plane by using a newly developed constrained relativistic mean field (RMF) model. As examples, the results of some C, Mg, and Si nuclei are presented and discussed in details. We found that for normal nuclei the present RMF calculations and previous Skyrme-Hartree-Fock models predict similar trends of the shape evolution with the neutron number increasing. But some quantitative aspects from these two approaches, such as the depth of the minimum and the softness in the {gamma} direction, differ a lot for several nuclei. For {Lambda} hypernuclei, in most cases, the addition of a {Lambda} hyperon alters slightly the location of the ground state minimum toward the direction of smaller {beta} and softer {gamma} in the potential energy surface E{approx}({beta},{gamma}). There are three exceptions, namely, {sub {Lambda}}{sup 13}C, {sub {Lambda}}{sup 23}C, and {sub {Lambda}}{sup 31}Si in which the polarization effect of the additional {Lambda} is so strong that the shapes of these three hypernuclei are drastically different from their corresponding core nuclei.},
doi = {10.1103/PHYSREVC.84.014328},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}