FIZIKA B 10 (2001)  2, 83-102

INVESTIGATION OF LL DYNAMICS AND EFFECTIVE LN INTERACTION IN LOW AND MEDIUM MASS HYPERNUCLEI

MD. ABDUL KHAN and TAPAN KUMAR DAS

Department of Physics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta - 700009, India

Received 14 October 2000; Accepted 26 February 2001

We critically review the LL dynamics by examining L-L and L-nucleon phenomenological potentials in the study of the bound state properties of double-L hypernuclei _LL  ⁶He, _LL ¹⁰Be, _LL ¹⁴C, _LL ¹⁸O, _LL ²²Ne, _LL ²⁶Mg, _LL ³⁰Si, _LL ³⁴S, _LL ³⁸Ar, _LL ⁴²Ca, _LL ⁹²Zr and _LL¹⁴²Ce, _LL²¹⁰Pb in the framework of (core+L+L) three-body model. An effective LN potential is obtained by folding the phenomenological LN potential into the density distribution of core nuclei. The former two cases (i.e. _LL  ⁶He and _LL ¹⁰Be) 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-L 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 K _max = 20 has been achieved. In our calculation we have made no approximation in restricting the allowed l-values of the interacting pairs.

PACS numbers: 21.80.+a, 21.60.Jz, 21.30.Fe
UDC 535.217, 539.21

Keywords: LL dynamics, L-L and L-nucleon phenomenological potentials, double-L hypernuclei, _LL  ⁶He, _LL ¹⁰Be, _LL ¹⁴C, _LL ¹⁸O, _LL ²²Ne, _LL ²⁶Mg, _LL ³⁰Si, _LL ³⁴S, _LL ³⁸Ar, _LL ⁴²Ca, _LL ⁹²Zr, _LL¹⁴²Ce, _LL²¹⁰Pb, (core+L+L) three-body model, hyperspherical harmonics expansion method

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