Formulation in terms of hyperspherical harmonics of the effect of breakup in deuteron-nucleus collisions

Journal Article · Sun Feb 01 00:00:00 EST 1981 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.23.623· OSTI ID:6676136

Rawitscher, G H; Zickendraht, W

The overall two-nucleon--nucleus wave function is decomposed into two parts psi/sub 1/ and psi/sub 2/. The coordinates of the latter are the hyperspherical ones, suitable for the description of breakup, while the former, which contains both the scattered deuteron channel and additional breakup components, is given in terms of the conventional coordinates r and R. A basis set of functions in psi/sub 1/ are the (continuum) eigenstates of H/sub n/p and the basis set for psi/sub 2/ are the discrete hyperspherical harmonics. Coupled equations for the coefficients of each basis set are derived. The inhomogeneous source terms which couple psi/sub 1/ to psi/sub 2/ are evaluated for a numerical example, and the coupling terms within psi/sub 2/ space are discussed in a separate publication. It appears feasible to calculate the effect of psi/sub 2/ upon psi/sub 1/ and vice versa in an iterative sequence, but the calculation within psi/sub 2/ space requires the noniterative solution of coupled equations. Such a calculation appears possible with the computer power currently available, but has not been carried out.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 6676136
• Journal Information: Phys. Rev., C; (United States), Vol. 23:2
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEUTERON REACTIONS
BREAKUP REACTIONS
ANGULAR MOMENTUM
COUPLED CHANNEL THEORY
EIGENSTATES
QUANTUM NUMBERS
SCATTERING
SPHERICAL HARMONICS
THREE-BODY PROBLEM
WAVE FUNCTIONS
CHARGED-PARTICLE REACTIONS
FUNCTIONS
MANY-BODY PROBLEM
NUCLEAR REACTIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering