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New tendencies in the development and application of the method of hyperspherical functions

Journal Article · · Soviet Journal of Particles and Nuclei (English Translation); (USA)
OSTI ID:5590391
 [1];  [2]
  1. Institute of Physics, Georgian Academy of Sciences, Tbilisi (SU)
  2. Institute of Nuclear Physics, Moscow State University, Moscow
The main results obtained during the last ten years in the framework of the method of hyperspherical functions are reviewed. New developments of the mathematical formalism of the method are presented. The main results on the application of the method in the theory of many-particle reactions are given. The results of application of the method of hyperspherical functions in the investigation of collective excited states of light nuclei, and also of elastic and inelastic cross sections for reactions with ions are reviewed. An approach to the solution of the Coulomb problem in a hyperspherical basis is described, and a method for taking into account simultaneously the nuclear and Coulomb interactions is formulated. The main results of the application of the method of hyperspherical functions for the study of the structure of multiquark systems are presented. A review of results on the development of the hyperspherical approach to the solution of the Faddeev equations is given.
OSTI ID:
5590391
Journal Information:
Soviet Journal of Particles and Nuclei (English Translation); (USA), Journal Name: Soviet Journal of Particles and Nuclei (English Translation); (USA) Vol. 20:2; ISSN 0090-4759; ISSN SJPNA
Country of Publication:
United States
Language:
English