[Submitted on 2 Aug 2017]
Coarse graining the Bethe-Goldstone equation: nucleon-nucleon high momentum components
I. Ruiz Simo · R. Navarro Perez · J.E. Amaro · E. Ruiz Arriola
The delta-shell representation of the nuclear force allows a simplified treatment of nuclear correlations. We show how this applies to the Bethe-Goldstone equation as an integral equation in coordinate space with a few mesh points, which is solved by inversion of a 5-dimensional square matrix in the single channel cases and a matrix for the tensor-coupled channels. This allows us to readily obtain the high momentum distribution, for all partial waves, of a back-to-back correlated nucleon pair in nuclear matter. We find that the probability of finding a high-momentum correlated neutron-proton pair is about 18 times that of a proton-proton one, as a result of the strong tensor force, thus confirming in an independent way previous results and measurements.
- Comments:
- Equation (2) is wrong, and all the results of the article based on that equation for the coupled nucleon partial waves are, consequently, wrong as well
- Subjects:
- Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
- arXiv:
- 1708.00878 [pdf]