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Trinucleon photoeffect to isospin 3/2, using coupled hyperspherical harmonics

Trinucleon photoeffect to isospin 3/2, using coupled hyperspherical harmonics We extend the Fabre-Levinger calculation of the He 3 photoeffect ( E 1 transition to final isospin 3/2) by including an additional grand orbital ( L = 3 ) in the final state wave function. The coupled differential equations between L = 1 and L = 3 for the final state are given. We solve for two model potentials, and find the Blatt-Biedenharn eigenphase shifts and the mixing parameter, and also the total cross section for photodisintegration. We find reasonable agreement (generally within 10%) with the cross section found for one hyperspherical harmonic. The convergence speed of the hyperspherical harmonic expansion for the outgoing channel is also examined by comparison with sum rules for the integrated cross section: We find rapid convergence for both models. NUCLEAR REACTIONS Photodisintegration of trinucleon system, coupled hyperspherical harmonics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review C American Physical Society (APS)

Trinucleon photoeffect to isospin 3/2, using coupled hyperspherical harmonics

Physical Review C , Volume 17 (1) – Jan 1, 1978
10 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1978 The American Physical Society
ISSN
1089-490X
DOI
10.1103/PhysRevC.17.24
Publisher site
See Article on Publisher Site

Abstract

We extend the Fabre-Levinger calculation of the He 3 photoeffect ( E 1 transition to final isospin 3/2) by including an additional grand orbital ( L = 3 ) in the final state wave function. The coupled differential equations between L = 1 and L = 3 for the final state are given. We solve for two model potentials, and find the Blatt-Biedenharn eigenphase shifts and the mixing parameter, and also the total cross section for photodisintegration. We find reasonable agreement (generally within 10%) with the cross section found for one hyperspherical harmonic. The convergence speed of the hyperspherical harmonic expansion for the outgoing channel is also examined by comparison with sum rules for the integrated cross section: We find rapid convergence for both models. NUCLEAR REACTIONS Photodisintegration of trinucleon system, coupled hyperspherical harmonics.

Journal

Physical Review CAmerican Physical Society (APS)

Published: Jan 1, 1978

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