于祖荣
理论物理通讯. 1984, 3(1): 103-111.
In the present paper a method for constructing the hyperspherical function for the internal motion of many-body system in the scheme Sp(2m,R)⊃Sp(2,R)×O(m) based on the complementarity of the symplectic Sp(2,R) and the orthogonal O(m) groups is developed. A generate formula for the fractional-parentage coefficients of the hyperspherical function is obtained and it is shown that the formula can be used to to calculate the spectroscopic factor for the arbitrarym-cluster,etc..