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Published October 14, 2004 | public
Journal Article

Hyperspherical Harmonics for Tetraatomic Systems. 2. The Weak Interaction Region

Abstract

Hyperspherical harmonics as functions of hyperspherical coordinates appropriate for describing the weak interaction region of nuclear configuration space of tetraatomic systems are derived. They constitute an efficient basis set for calculating the corresponding local hyperspherical surface functions that avoid overcompleteness problems. Together with the hyperspherical harmonics for the strong interaction region of that space obtained previously, they should permit efficient benchmark-quality calculations of state-to-state differential and integral cross sections for those systems.

Additional Information

© 2004 American Chemical Society. Received 13 March 2004. Published online 9 September 2004. Published in print 1 October 2004. Gert D. Billing was a colleague with whom I shared scientific interests and had stimulating interactions for over 20 years. He was also a close friend, whose untimely death is a loss for the scientific community as well as a deeply felt personal loss. This paper is dedicated to his memory. I also thank Dr. Desheng Wang for useful discussions. This work was supported in part by NSF Grant No. CHE-138091.

Additional details

Created:
August 19, 2023
Modified:
October 25, 2023