Contact formalism for coupled channels

Ronen Weiss, Nir Barnea

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Contact formalism, a useful tool for analyzing short-range correlations, is generalized here for systems with coupled channels, such as in nuclear physics. The relevant asymptotic form is presented and contact matrices are defined. Generally, for the case of two coupled channels, two two-body functions are included in the asymptotic form, resulting a 2×2 contact matrix. Nevertheless, it is shown that if the coupling terms of the potential are very weak or very strong, only a single two-body function is needed, resulting in a single contact. This universal result is directly relevant to nuclear systems, and provides a theoretical explanation for the fact that proton-neutron short-range correlations can be described using the single bound-state deuteron wave function. It is achieved by applying an appropriate boundary condition on the two-body functions. This boundary condition can be interpreted as a mean-field potential imposed on the correlated pair due to the residual system.

Original languageAmerican English
Article number041303
JournalPhysical Review C
Volume96
Issue number4
DOIs
StatePublished - 25 Oct 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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