Reexamining closed-form formulae for inclusive breakup: Application to deuteron and $^6$Li induced reactions

TL;DR

This paper reexamines and refines the theoretical calculation of inclusive breakup cross sections in nuclear reactions, applying the improved model to deuteron and lithium-6 induced reactions and comparing results with experimental data.

Contribution

It provides an alternative derivation of the non-elastic breakup component using coupled-channels optical theorem and assesses the zero-range approximation's validity.

Findings

The alternative derivation aligns well with existing models.

Finite-range calculations improve accuracy over zero-range approximations.

Application to deuteron and $^6$Li reactions demonstrates model effectiveness.

Abstract

The problem of the calculation of inclusive breakup cross sections in nuclear reactions is reexamined. For that purpose, the post-form theory proposed by Ichimura, Austern and Vincent [Phys. Rev. C32, 431 (1985) is revisited, and an alternative derivation of the non-elastic breakup part of the inclusive breakup is presented, making use of the coupled-channels optical theorem. Using the DWBA version of this model, several applications to deuteron and $^6$Li reactions are presented and compared with available data. The validity of the zero-range approximation of the DWBA formula is also investigated by comparing zero-range with full finite-range calculations.