Off-Energy-Shell<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>-Matrix Elements for Local Potentials Containing Hard Cores

Abstract

A method is presented for calculating the off-energy-shell two-body reaction matrix elements for a local potential that contains a hard core. An analytic expression is presented for the matrix elements, $t({k}^{\ensuremath{'}}, k; s)$, for the special case of a hard-core potential with no other interaction. Graphs are presented showing the effects of the hard core for negative values of the energy parameter $s$ and $l=0$ relative-angular-momentum states, using a potential of exponential shape and parameters chosen to approximate the nucleon-nucleon interaction.