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

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.84.014328· OSTI ID:21596574

Bingnan, Lu ^[1]; Enguang, Zhao ^[1]; Shangui, Zhou ^[1]

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1. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China)

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.

• OSTI ID: 21596574
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADMINISTRATIVE PROCEDURES
APPROXIMATIONS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CALCULATION METHODS
CARBON 13
CARBON ISOTOPES
DEFORMATION
DEFORMED NUCLEI
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY RANGE
EVEN-ODD NUCLEI
EXCEPTIONS
FERMIONS
GROUND STATES
HADRONS
HARTREE-FOCK METHOD
HOURS LIVING RADIOISOTOPES
HYPERNUCLEI
ISOTOPES
LIGHT NUCLEI
MEAN-FIELD THEORY
NEUTRONS
NUCLEAR FRAGMENTS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
POLARIZATION
POTENTIALS
RADIOISOTOPES
RELATIVISTIC RANGE
SILICON 31
SILICON ISOTOPES
SKYRME POTENTIAL
STABLE ISOTOPES
SURFACES