Quadrupole deformation $(β,γ)$ of light $Λ$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $Λ$ hyperon

Details Quadrupole deformation $(β,γ)$ of light $Λ$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $Λ$ hyperon Quadrupole deformation $(β,γ)$ of light $Λ$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $Λ$ hyperon

2011-04-24

arxiv.org/abs/1104.4638v2

Phys.Rev.C84:014328,2011

Physics

Nuclear Physics

Nuclear Theory

11 pages, 3 figures; added references and arguments in Sections III and IV; to be published in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.84.014328

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 towards the direction of smaller $\beta$ and softer $\gamma$ in the potential energy surface $E \sim (\beta, \gamma)$. There are three exceptions, namely, $^{13}_\Lambda$C, $^{23}_\Lambda$C, and $^{31}_\Lambda$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.

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