Iterative solution of equations of the method of hyperspherical functions in the momentum representation for double hypernuclei and charmed supernuclei

Systems of three- and four-particle one-dimensional homogeneous integral equations of the method of hyperspherical functions in the momentum representation are solved by the iterative method proposed recently by Adhikari and Tomio for solving the integral Faddeev equations in the case of separable potentials. Ground states of three- and four-particle double hypernuclei and charmed supernuclei are considered. It is shown that the method used leads to a simplification of the procedure of numerical solution of the system of integral equations. Here the difficult problem of the upper limit of integration does not exist and the computer time needed is significantly reduced. Satisfactory convergence for the binding energy is achieved. It is shown that the supernuclei are indeed more tightly bound systems than the corresponding hypernuclei