Variational principles for the projected breakup amplitude

Journal Article · Mon Nov 01 00:00:00 EST 1976 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.14.1709· OSTI ID:7250325

Hahn, Y

Two alternate forms of variational principles for the breakup amplitude describing the two- to three-cluster transition are derived such that all the integrals involved in the intermediate stages are well defined. The first form contains a trial Green's function with which both the initial and final state trial wave functions are constructed. The earlier form of the Kohn-type variational principle derived by Lieber, Rosenberg, and Spruch is recovered, however, when this connection between the trial functions is removed. The second form of the variational principle is derived by projecting out from the trial functions all the open channel components which correspond to the two-cluster structures including the rearrangement channels. The remaining part of the wave functions describes the channels with three-cluster structures, and the integrals involving this part are then mathematically well defined. (AIP)

• Research Organization: Department of Physics, University of Connecticut, Storrs, Connecticut 06268
• OSTI ID: 7250325
• Journal Information: Phys. Rev., C; (United States), Vol. 14:5
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BREAKUP REACTIONS
SCATTERING AMPLITUDES
COUPLED CHANNEL THEORY
GREEN FUNCTION
VARIATIONAL METHODS
WAVE FUNCTIONS
AMPLITUDES
FUNCTIONS
NUCLEAR REACTIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering