Post-prior equivalence for transfer reactions with complex potentials

Abstract

In this paper, we address the problem of the post-prior equivalence in the calculation of inclusive breakup and transfer cross sections. For that, we employ the model proposed by Ichimura, Austern, and Vincent [Phys. Rev. C 32, 431 (1985)], conveniently generalized to include the part of the cross section corresponding the transfer to bound states. We pay particular attention to the case in which the unobserved particle is left in a bound state of the residual nucleus, in which case the theory prescribes the use of a complex potential, responsible for the spreading width of the populated single-particle states. We see that the introduction of this complex potential gives rise to an additional term in the prior cross section formula, not present in the usual case of real binding potentials. The equivalence is numerically tested for reaction induced by deuterons.

5 pages, 1 figure. Submitted for publication

References in corpus (6)

• Reexamining closed-form formulae for inclusive breakup: Application to deuteron and ${}^6$Li induced reactions
• Toward a complete theory for predicting inclusive deuteron breakup away from stability
• Real time description of fission
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• The Lagrange-mesh R-matrix method for inhomogenous equations
• Modeling of Deuteron Induced Reactions on Molybdenum at Low Energies
• Models of breakup: a final state interaction problem. In memory of Mahir Hussein