Programs in Physics & Physical Chemistry
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|Manuscript Title: FORTRAN program to calculate finite-range no-recoil DWBA transfer cross sections.|
|Authors: G.L. Payne, P.L. von Behren|
|Program title: FINITE RANGE DWBA PHASE 1|
|Catalogue identifier: ABOW_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 7(1974)13|
|Programming language: Fortran.|
|Computer: IBM 360/65.|
|Operating system: HASP OS/360.|
|RAM: 24K words|
|Word size: 32|
|Keywords: Nuclear physics, Finite range, Transfer reactions, Distorted-wave-born Approximation, Stripping, Pick-up, Direct reaction.|
Nature of problem:
The program calculates angular distributions produced by direct nuclear transfer reactions. In this type of reaction one assumes that a nucleon or cluster of nucleons is transferred directly from a bound state in th e projectile nucleus to a bound state in the target nucleus.
The angular distributions are calculated by using the Distorted-Wave- Born-Approximation (DWBA) with the additional approximation of no- recoil. The method used here is that of Sawaguri and Tobocman. With this method one uses harmonic oscillator functions to expand the final bound-state wave function and to expand the initial bound-state wave function times its corresponding potential. These expansions are then used to generate a series expansion for the form factor or transfer function. This transfer function is then used to calculate the distorted partial-wave matrix elements which are used to generate the angular distribution. Phase 1 calculates the form factor, or transfer function for each possible transferred L-value for given single-particle levels in both the inital and final bound states of the transferred particle. Other sets of single-particle levels may be included by running Phase 1 as many times as necessary. Phase 2 calculates the differential cross section by using the transfer function from Phase 1 to evaluate the matrix elements for each set of partial waves in the initial and final channels. Only the optical-model parameters are variable in Phase 2 since the contribution of the bound states to the matrix elements is fixed by Phase 1.
The restrictions due to the "no-recoil" approximation are discussed in the theory section of the Long Write-Up. The program is also restricted to interactions (in both bound-state and optical-model potentials) which have no spin dependence.
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