Nucleon-nucleus rearrangement reactions proceeding via a nucleon-exchange mechanism are investigated in the framework of a three-body model. Starting from the Alt, Grassberger and Sandhas representation for the transition operators, we derive, by means of a suitable operator multiplier technique, an uncoupled integral equation showing in the inhomogeneous term the role of the nucleon-nucleon off-energy-shell t-matrix. The knock-out triangular diagram amplitude involving the off-energy-shell t-matrix is compared with the corresponding amplitude in the Born approximation for the t-matrix. Our results show that the knock-out amplitude is rather sensitive to the off-shell behavior of the two-nucleon interactions.
Off-shell effects in nucleon-exchange reactions
CATTAPAN, GIORGIO;
1972
Abstract
Nucleon-nucleus rearrangement reactions proceeding via a nucleon-exchange mechanism are investigated in the framework of a three-body model. Starting from the Alt, Grassberger and Sandhas representation for the transition operators, we derive, by means of a suitable operator multiplier technique, an uncoupled integral equation showing in the inhomogeneous term the role of the nucleon-nucleon off-energy-shell t-matrix. The knock-out triangular diagram amplitude involving the off-energy-shell t-matrix is compared with the corresponding amplitude in the Born approximation for the t-matrix. Our results show that the knock-out amplitude is rather sensitive to the off-shell behavior of the two-nucleon interactions.Pubblicazioni consigliate
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