New representation of orbital motion with arbitrary angular momenta

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 $e^{-}{e}^{-}{e}^{+},tt\mu ,td\mu$, and $\alpha e^{-}{e}^{-}$ 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.

Revtex

References in corpus (1)

• Stochastic variational method with noncentral forces

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