Study of 𝛬𝛬 dynamics and ground state structure of low and medium mass double 𝛬 hypernuclei

Pramana

M D Abdul Khan¹  Tapan Kumar Das1¹ 

[1] Department of Physics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India$$

关键词: Hypernuclei;    Raynal Revai coefficient;    hyperspherical harmonics expansion;    hyperspherical harmonics.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We critically review the 𝛬𝛬 dynamics by examining 𝛬-𝛬 and 𝛬-nucleon phenomenological potentials in the study of the bound state properties of double-𝛬 hypernuclei $^{6}_{𝛬𝛬}$He, $^{10}_{𝛬𝛬}$Be, $^{14}_{𝛬𝛬}$C, $^{18}_{𝛬𝛬}$O, $^{22}_{𝛬𝛬}$Ne, $^{26}_{𝛬𝛬}$Mg, $^{30}_{𝛬𝛬}$Si, $^{34}_{𝛬𝛬}$S, $^{38}_{𝛬𝛬}$Ar, $^{42}_{𝛬𝛬}$Ca, $^{46}_{𝛬𝛬}$Ti, $^{50}_{𝛬𝛬}$Cr, $^{54}_{𝛬𝛬}$Fe, $^{58}_{𝛬𝛬}$Ni, $^{62}_{𝛬𝛬}$Zn, $^{66}_{𝛬𝛬}$Ge, $^{70}_{𝛬𝛬}$Se, $^{74}_{𝛬𝛬}$Kr, $^{78}_{𝛬𝛬}$Sr, $^{82}_{𝛬𝛬}$Zr, $^{86}_{𝛬𝛬}$Mo, $^{90}_{𝛬𝛬}$Ru, $^{94}_{𝛬𝛬}$Pd, $^{98}_{𝛬𝛬}$Cd, $^{102}_{𝛬𝛬}$Sn in the frame work of (core +𝛬+𝛬) three body model. An effective 𝛬 𝑁 potential is obtained by folding the phenomenological 𝛬 𝑁 potential into the density distribution of the core nuclei. The former two cases (i.e. $^{6}_{𝛬𝛬}$He and $^{10}_{𝛬𝛬}$Be) are revisited to justify the correctness of the present potential model. Assuming the same potential model we predicted some of the structural properties of heavier doubly 𝛬-hypernuclei. The hyperspherical harmonics expansion method, which is an essentially exact method has been employed for the three body system. A convergence in binding energy up to 0.15% for 𝐾max = 20 has been achieved. In our calculation we have made no approximation in restricting the allowed 𝑙-values of the interacting pairs.

【 授权许可】

Unknown