Microscopic theory of the structure of four-particle hypernuclei and the 4/sub Λ/ H→π-+4He reaction

A microscopic theory of the structure of four-particle hypernuclei and of the 4/sub Λ/ 4H→π-+4He reaction is worked out using the method of hyperspherical functions in the momentum representation. The scheme of construction of symmetrized hyperspherical functions for systems of three identical particles and a particle with different mass is presented. It is shown that with the well-known relatively smooth potentials of the N and NN interactions one obtains good convergence in the number of included harmonics for both the binding energy and the life-time of the hypernucleus. A satisfactory agreement with existing experimental data is found for these characteristics of four-particle hypernuclei