The Hussein-McVoy formula for inclusive breakup revisited. A Tribute to Mahir Hussein

TL;DR

This paper critically revisits the Hussein-McVoy formula for inclusive breakup reactions, analyzing its derivation, connections with other models, and comparing calculations for specific nuclear reactions at various energies.

Contribution

It provides a critical assessment of the Hussein-McVoy formula, clarifies its relation to other models, and presents comparative calculations for one-nucleon removal reactions.

Findings

The Hussein-McVoy formula is validated against alternative models.

Connections between eikonal and noneikonal expressions are clarified.

Comparative calculations show the formula's applicability at different energies.

Abstract

In 1985, Hussein and McVoy [Nuc. Phys. A445 (1985) 124] elucidated a formula for the evaluation of the nonelastic breakup ("stripping") contribution in inclusive breakup reactions. The formula, based on the spectator core model, acquires a particularly simple and appealing form in the eikonal limit, to the extent that it has become the standard procedure to analyze single-nucleon knockout reactions at intermediate energies. In this contribution, a critical assessment of this formula is presented and its connection with other, noneikonal expressions discussed. Some calculations comparing the different formulae are also presented for the one-nucleon removal of $^{14}$O+$^{9}$Be reaction at several incident energies.