Exit Doorway Model for Nuclear Breakup of Weakly Bound Projectiles

TL;DR

This paper introduces an exit doorway model for nuclear breakup of weakly bound nuclei, deriving analytical expressions and validating a linear scaling law, with comparisons to numerical calculations.

Contribution

It presents a new analytical framework using the exit doorway concept to describe nuclear breakup, extending the Austern-Blair theory for weakly bound nuclei.

Findings

Derived closed-form expressions for nuclear breakup cross sections.

Validated the linear scaling law of breakup cross section with target radius.

Compared analytical results with CDCC calculations for specific isotopes.

Abstract

We derive closed expressions for the nuclear breakup cross sections in the adiabatic limit using the Austern-Blair theory. These expressions are appropriate for the breakup of weakly bound nuclei. The concept of an exit doorway that mediates the coupling between the entrance channel and the breakup continuum is used. We prove the validity of the scaling law that dictates that the nuclear breakup cross section scales linearly with the radius of the target. We also compare our results for the nuclear breakup cross section of $^{11}$Be, $^8$B on several targets with recent CDCC calculation.