Numerical assessment of post-prior equivalence for inclusive breakup reactions

TL;DR

This paper investigates the numerical equivalence of post and prior formulations in inclusive breakup reactions induced by weakly-bound nuclei, using the DWBA model, and compares different theoretical approaches.

Contribution

It provides a detailed numerical assessment of post-prior equivalence in inclusive breakup reactions within the DWBA framework, including comparisons with other models.

Findings

Post and prior formulas show numerical equivalence in tested reactions.

Different contributions of the prior-form formula are analyzed.

Comparison with Udagawa and Tamura's model highlights differences.

Abstract

We address the problem of the post-prior equivalence in inclusive breakup reactions induced by weakly-bound nuclei. The problem is studied within the DWBA model of Ichimura, Austern, Vincent [Phys. Rev. C32, 431 (1985)]. The post and prior formulas obtained in this model are briefly recalled, and applied to several breakup reactions induced by deuterons and $^6$Li projectiles, to test their actual numerical equivalence. The different contributions of the prior-form formula are also discussed. A critical comparison with the prior-form distorted-wave Born approximation (DWBA) model of Udagawa and Tamura [Phys. Rev. C24, 1348 (1981)] is also provided.