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arXiv · nucl-th/9701030

New representation of orbital motion with arbitrary angular momenta

Y. Suzuki·J. Usukura·K. Varga
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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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Y. Suzuki, J. Usukura, K. Varga. 1997-01-17. New representation of orbital motion with arbitrary angular momenta. https://doi.org/10.1088/0953-4075%2F31%2F1%2F007

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