The Hussein–McVoy formula for inclusive breakup revisited

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.

New perspectives on spectroscopic factor quenching from reactions

“…[22]). It has been shown that the integrated cross sections produced in such models agree with those from the eikonal model, proving that this aspect does not have a strong impact on the extracted SFs [24]. The second approximation, the core-spectator approximation, assumes that the core degrees of freedom are "frozen" during the collision process.…”

“…[16][17][18][19][20][21] discuss the importance of short-and long-range correlations for structure predictions and Refs. [22][23][24][25][26][27] address the validity of the eikonal approximation. Similarly many studies have been done testing the validity of the theories used in the transfer analyses [28][29][30][31], including benchmarks of the reaction models.…”

Green's Function Knockout Formalism

“…Since the wavefunction (38) takes into account breakup effects [38], the eikonal approximation is able to describe physical process in which the hole or nucleon absorption takes place before as well as after (or simultaneously to) the breakup process. However, it should only be applied when the kinematical conditions are suitable for an eikonal approximation, i.e., when the bombarding energy is large enough.…”