Original scientific paper
Investigation of ΛΛ dynamics and effective ΛN interaction in low and medium mass hypernuclei
Md. Abdul Khan
; Department of Physics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta - 700009, India
Tapan Kumar Das
; Department of Physics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta - 700009, India
Abstract
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 ΛΛHe, 10 ΛΛBe, 14 ΛΛC, 18 ΛΛO, 22 ΛΛNe, 26 ΛΛMg, 30 ΛΛSi, 34 ΛΛS, 38 ΛΛAr, 42 ΛΛCa, 92 ΛΛZr and 142 ΛΛ Ce, 210 ΛΛ Pb in the framework of (core+Λ+Λ) three-body model. An effective ΛN potential is obtained by folding the phenomenological ΛN potential into the density distribution of core nuclei. The former two cases (i.e. 6 ΛΛHe and 10 ΛΛBe) 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 double-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 0.25% for Kmax = 20 has been achieved. In our calculation we have made no approximation in restricting the allowed l-values of the interacting pairs.
Keywords
ΛΛ dynamics; Λ–Λ and Λ–nucleon phenomenological potentials; double-Λ hypernuclei; 6 ΛΛHe; 10 ΛΛBe; 14 ΛΛC; 18 ΛΛO; 22 ΛΛNe; 26 ΛΛMg; 30 ΛΛSi; 34 ΛΛS; 38 ΛΛAr; 42 ΛΛCa; 92 ΛΛZr; 142 ΛΛ Ce
Hrčak ID:
303863
URI
Publication date:
2.5.2001.
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