Comparing Some Nucleon-Nucleon Potentials

TL;DR

This paper compares various phenomenological nucleon-nucleon potentials by evaluating their fit to scattering data, analyzing their structural differences, and assessing their performance in nuclear-structure calculations.

Contribution

It introduces a method to standardize different NN potentials into a common schema for direct comparison and evaluates their effectiveness in describing nuclear interactions.

Findings

Reid68 and Reid93 potentials fit data well with χ²/N_data ≈ 1

Structural differences among potentials influence their nuclear-structure predictions

Potential forms vary significantly but can be compared through a unified framework.

Abstract

The aim is to compare a few Nucleon-Nucleon (NN) potentials especially Reid68, Reid68-Day, Reid93, UrbanaV14, ArgonneV18, Nijmegen 93, Nijmegen I and Nijmegen II. Although these potentials have some likenesses and are almost phenomenological, they include in general different structures and their own characteristics. The potentials are constructed in a manner that fit the NN scattering data or phase shifts and are compared in this way. A high-quality scale of a potential is that it fits the data with $\chi^{2}/N_{data} \approx 1$, describes well the deuteron properties and gives satisfactory results in nuclear-structure calculations. However, these scales have some failures. Here, we first compare many potentials by confronting them with the data. Then, we try to compare the potential forms by considering the potential structures directly and therefore regarding their substantial bases somehow. To do so, we note that since the potentials are written in different schemas, it is necessary to write them in a unique schema. On the other hand, because three major terms in the NN interaction are central, tensor and spin-orbit terms; so, to perform a reduction plan and arrive at a common structure, we choose the Reid's potential form. Next, we compare the potentials for some states and address some other related issues as well.