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Hyperspherical harmonics method for the hypertriton and /sup 9//sub. lambda. /Be

Journal Article · · Phys. Rev., C; (United States)
The hyperspherical or K-harmonics method is used to investigate the properties of /sup 3//sub ..lambda../H and /sup 9//sub ..lambda../Be (in the ..cap alpha..-..cap alpha..-..lambda.. model). A set of coupled integral equations for functions of a single variable is obtained for determining the eigenenergy. Retaining nine harmonics, the ground-state energy of /sup 3//sub ..lambda../H is calculated for two-body potentials of square-well, Gaussian, exponential, and Yukawa shape. The volume integrals of the total ..lambda..N potential in /sup 3//sub ..lambda../H which yield the experimental energy are obtained. These are utilized to find the ..lambda..N scattering length and effective range. For /sup 9//sub ..lambda../Be, suitable forms for the ..cap alpha..-..cap alpha.. and ..cap alpha..-..lambda.. interactions are employed to evaluate the ..lambda.. separation energy. Comparison is made with available experimental data.
Research Organization:
Department of Physics, Jadavpur University, Calcutta-700032, India
OSTI ID:
5979049
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 20:2; ISSN PRVCA
Country of Publication:
United States
Language:
English