New representation of orbital motion with arbitrary angular momenta
Y. Suzuki, J. Usukura, K. Varga
Abstract
A new formulation is presented for a variational calculation of N-body systems on a correlated Gaussian basis with arbitrary angular momenta. The rotational motion of the system is described with a single spherical harmonic of the total angular momentum L, and thereby needs no explicit coupling of partial waves between particles. A simple generating function for the correlated Gaussian is exploited to derive the matrix elements. The formulation is applied to various Coulomb three-body systems such as e-e-e+, ttμ, tdμ, and αe-e- up to L=4 in order to show its usefulness and versatility. A stochastic selection of the basis functions gives good results for various angular momentum states.
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