Giant Monopole Resonance and Nuclear Incompressibility of Hypernuclei

doi:10.1088/0256-307X/35/6/062102

Chin. Phys. Lett.

2018, Vol. 35

Issue (6): 062102 DOI: 10.1088/0256-307X/35/6/062102

NUCLEAR PHYSICS

Giant Monopole Resonance and Nuclear Incompressibility of Hypernuclei

Hong Lv¹, Shi-Sheng Zhang², Zhen-Hua Zhang¹, Yu-Qian Wu¹, Jiang Liu¹, Li-Gang Cao^1**

¹School of Mathematics and Physics, North China Electric Power University, Beijing 102206
²School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191

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Hong Lv, Shi-Sheng Zhang, Zhen-Hua Zhang et al 2018 Chin. Phys. Lett. 35 062102

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Abstract The isoscalar giant monopole resonances (ISGMRs) of hypernuclei $^{42}_{{\Lambda}{\Lambda}}$Ca, $^{122}_{{\Lambda}{\Lambda}}$Sn, and $^{210}_{{\Lambda}{\Lambda}}$Pb are investigated using a fully self-consistent Skyrme–Hartree–Fock plus random phase approximation method. The Skyrme-type forces, SGII, No.5 and S${\Lambda}{\Lambda}$1, are adopted to describe the nucleon–nucleon, ${\Lambda}$ hyperon–nucleon and ${\Lambda}$ hyperon–${\Lambda}$ hyperon (${\Lambda} {\Lambda}$) interactions, respectively. For a given hyperon fraction, we find that effects of ${\Lambda} {\Lambda}$ interaction on the properties of infinite symmetric nuclear matter and finite hypernuclei are very small. The ISGMR strengths are shifted to the high energy region when two ${\Lambda}$ are added into normal nuclei. The changes are from two parts, one is due to the mean field calculations, and the other is from the residual interaction associated with ${\Lambda}$ hyperons. The constrained energies are increased by about 0.5–0.7 MeV, which consequently enhances the effective incompressibility modulus of hypernuclei.

Received: 12 February 2018 Published: 19 May 2018

PACS:	21.60.Jz	(Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations))
	21.80.+a	(Hypernuclei)
	24.30.Cz	(Giant resonances)
	21.30.-x	(Nuclear forces)

Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11575060, 11775014, 11505058 and 11435014.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/35/6/062102 OR https://cpl.iphy.ac.cn/Y2018/V35/I6/062102

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	Hong Lv
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	Zhen-Hua Zhang
	Yu-Qian Wu
	Jiang Liu
	Li-Gang Cao

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