A simple coordinate space approach to three-body problems -- Examples: Halo nucleus and double-l hypernucleus

S 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

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