Inclusive breakup of Borromean nuclei

Abstract

We derive the inclusive breakup cross section of a three-fragment projectile nuclei, $a=b+x_1+x_2$, in the spectator model. The resulting four-body cross section for observing $b$, is composed of the elastic breakup cross section which contains information about the correlation between the two participant fragments, and the inclusive non-elastic breakup cross section. This latter cross section is found to be a non-trivial four-body generalization of the Austern formula \cite{Austern1987}, which is proportional to a matrix element of the form, $⟨{\hat{\rho }}_{x_1,x_2}\left|\left[W_{x_1}+W_{x_2}+W_{3B}\right]\right|{\hat{\rho }}_{x_1,x_2}⟩$. The new feature here is the three-body absorption, represented by the imaginary potential, $W_{3B}$. We analyze this type of absorption and supply ideas of how to calculate its contribution.

Comments: 4 pages, one page, Contribution to the Proceedings of Cluster16, May 23-27, 2016, Napoli-Italy, to appear in Journal of Physics Conference Series