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

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
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DOI:
10.1103/physrevc.84.014328
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发表时间:
2011-04
期刊:
影响因子:
3.1
通讯作者:
B. Lu;E. Zhao;Shan-Gui Zhou
B. Lu;E. Zhao;Shan-Gui Zhou
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
B. Lu;E. Zhao;Shan-Gui Zhou

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利用一个新发展的约束相对论平均场(RMF)模型,研究了(β,γ)形变平面内轻正常核和λ超核的形状。作为例子,一些C,Mg和Si核的结果,并详细讨论。我们发现,对于正常核,本RMF计算和以前的Skyrme-Hartree-Fock模型预测的形状演化的中子数增加的趋势相似。但这两种方法在一些定量方面,如最小值的深度和最小值的柔度等方面存在差异。方向,不同的几个核很多。对于λ超核,在大多数情况下,增加一个λ超子会稍微改变基态最小值的位置,使其在势能面E中朝着更小的β和更软的γ方向移动,类似于(beta,gamma)。有三个例外,即(13)(λ)C、(23)(λ)C和(31)(λ)Si,其中附加λ的极化效应如此之强,以至于这三个超核的形状与它们对应的核心核截然不同。
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. 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 similar to (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.