FIZIKA B 9 (2000)  1, 11-22

A SIMPLE VARIATIONAL CALCULATION FOR A THREE-BODY MODEL OF ¹¹Li

B. CHAKRABARTI^a, T. D. DAS^a and S. N. MUKHERJEE^b

^aDepartment of Physics, University of Calcutta, 92 A. P. C. Road, Calcutta 700009, India.

^bDepartment of Physics, Banaras Hindu University, Varanasi 221005, India

Received 19 May 1999; Accepted 21 January 2000

Several experiments with high-energy radioactive nuclear beams have attracted a special interest to the case of ¹¹Li in which two neutrons form a loosely bound "halo" surrounding a ⁹Li core. Different sophisticated three-body calculations (HH, COSMA, CSF) were employed to explore its ground-state structural properties. Due to the lack of experimental information about ⁹Li - n potential and difficulty to incorporate the Pauli principle between the valence and core nucleons, even sophisticated three-body calculations are not completely reliable. We show that a simple variational technique can reproduce the physical structure of ¹¹Li and the results compare well to the other three-body calculations.

PACS numbers: 21.45.+v, 21.60.Gx
UDC 539.142

Keywords: ¹¹Li, ``halo" nuclei, variational three-body calculation

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