Asymptotics of Raynal_Revai Coefficients at Large Hypermomentum

摘要

The Raynal_Revai coefficients are studied as the Wigner D functions of 0(6) group generated by the kinematical rotation of two reduced Jacobi vectors in six-dimensional three-body space. These coefficients are represented as one-dimensional integrals with kernels equal to double sums of the Clebsh_Gordan coefficients and associated Legendre polynomials. Using this representation we derive the asymp_totics of the Raynal_Revai coefficients at large values of the hypermomentum.