Coarse grained short-range correlations

Abstract

We develop a scheme to take into account the effects of short-range nucleon-nucleon correlations in the nucleon-pair wave function by solving the Bethe-Goldstone equation for a coarse grained delta shell potential in S-wave configuration. The S-wave delta shell potential has been adjusted to reproduce the ${}^1$S${}_0$ phase shifts of the AV18 potential for this partial wave up to 2 GeV in the laboratory kinetic energy. We show that a coarse grained potential can describe the high momentum tail of the back-to-back correlated pairs and the $G$-matrix in momentum space. We discuss the easiness and robustness of the calculation in coordinate space and the future improvements and utilities of this model. This work suggests the possibility of using perturbation theory for describing the short-range correlations, and related to this, to substitute the $G$-matrix by an appropriate coarse-grained potential.

18 pages, 12 figures and one table. Accepted version in Physical Review C

References in corpus (7)

• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• The detection of back-to-back proton pairs in Charged-Current neutrino interactions with the ArgoNeuT detector in the NuMI low energy beam line
• Influence of short-range correlations in neutrino-nucleus scattering
• Quantifying short-range correlations in nuclei
• Hammer events, neutrino energies, and nucleon-nucleon correlations
• Mass dependence and isospin dependence of short-range correlated pairs

Cited by in corpus (3)

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• Superscaling analysis of quasielastic electron scattering with relativistic effective mass
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core