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simple coordinate space approach to three-body problems -- Examples: Halo nucleus and
double-l hypernucleusS MAHAPATRA, J NAG, D P SURAL and S N MUKHERJEE*
Department of Physics, Jadavpur University, Kolkata 700
032, India
* Banaras Hindu University, Varanasi
221 005, India
Abstract. We show how to treat the dynamics of an asymmetric three-body system consisting of one heavy and two identical light particles in a simple coordinate space variational approach. The method is constructive and gives an efficient way of resolving a three-body system to an effective two-body system. It is illustrated by explaining the structural properties of some nuclei of current interest, namely halo nuclei and double-l hypernuclei. The ansatz used here may be of value in a number of three particle problems of similar nature.Keywords: Three-body model; halo nuclei; double l hypernuclei; scaling parameter; folding potential. Pacs Nos. 21.60.Gx; 21.10.Dr; 21.80.+a; 27.20.+n |