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

Journal Article · Sun Jan 01 04:00:00 EST 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.17.24· OSTI ID:5086512

Fang, K K; Levinger, J S

We extend the Fabre-Levinger calculation of the /sup 3/He photoeffect (E1 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.

• Research Organization: Department of Physics, Rensselaer Polytechnic Institute, Troy, New York 12181
• OSTI ID: 5086512
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 17:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
BREAKUP REACTIONS
CROSS SECTIONS
ENERGY
ENERGY LEVELS
EQUATIONS
EXCITED STATES
FUNCTIONS
HELIUM 3 TARGET
ISOSPIN
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
PHOTONUCLEAR REACTIONS
SOFT-CORE POTENTIAL
SPHERICAL HARMONICS
SUM RULES
TARGETS
THREE-BODY PROBLEM
TOTAL CROSS SECTIONS
WAVE FUNCTIONS