Discretization methods of the breakup continuum in deuteron-nucleus collisions

Journal Article · Mon May 01 04:00:00 EDT 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.39.1709· OSTI ID:6166504

Rasoanaivo, R Y; Rawitscher, G H

Two methods of discretization of the s-wave n-p breakup continuum are compared, and their effect on the elastic deuteron-nucleus scattering matrix elements is numerically investigated. In one of the methods, the continuum eigenstates of the n-p Hamiltonian are averaged over discretized momentum bins of size ..delta..k. In the other, which is a form of the L/sup 2/ diagonalization method, the continuum is expanded in a set of normalizable basis functions, which physically correspond to placing the n-p potential into a box. It is found, in the case of /sup 58/Ni(d,d) at incident deuteron energies E/sub d/ = 21.6 and 45 MeV, that those two discretization techniques consistently display the same physics and yield the same results. However, the lower the incident deuteron energy, the less well do the momentum discretized answers converge to a final result. The diagonalization method is found to perform better in this respect. The theoretical expectation that the long range tails of the potentials in breakup space do not sensitively affect the elastic S-matrix elements is demonstrated numerically. This result provides the mathematical reason why the discretization of the breakup continuum is a viable and practical procedure of including the breakup effects.

• Research Organization: Department of Physics, University of Connecticut, Storrs, Connecticut 06268
• OSTI ID: 6166504
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 39:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BREAKUP REACTIONS
CHARGED-PARTICLE REACTIONS
DEUTERON REACTIONS
EIGENSTATES
ELASTIC SCATTERING
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
HADRONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
MEV RANGE
MEV RANGE 10-100
NEUTRONS
NICKEL 58 TARGET
NUCLEAR REACTIONS
NUCLEONS
PARTIAL WAVES
PROTONS
QUANTUM OPERATORS
S MATRIX
S WAVES
SCATTERING
TARGETS