Inclusive breakup of Borromean nuclei

We derive the inclusive breakup cross section of a three-fragment projectile nuclei, a = b + x1 +x2, 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 [1], which is proportional to a matrix element of the form, 〈 ρ^x1,x2|[Wx1+Wx2+W3B]|ρ^x1,x2 〉. The new feature here is the three-body absorption, represented by the imaginary potential, W3b. We analyze this type of absorption and supply ideas of how to calculate its contribution.

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