Low excitation structure of $^{10}$B probed by scattering of electron and of 197 MeV polarized protons

TL;DR

This study investigates the low excitation structure of $^{10}$B using electron and proton scattering experiments, comparing results with shell model predictions to assess the model's accuracy and the role of three-body forces.

Contribution

The paper evaluates the effectiveness of a no-core shell model with only two-body forces in describing $^{10}$B's structure through scattering data analysis.

Findings

Shell model reproduces scattering data reasonably well.

Three-body forces are needed to fully explain the spectrum.

Wavefunctions are relatively unaffected by inclusion of three-body forces.

Abstract

Cross-section and analyzing power data from 197 MeV $(p,p')$ scattering and longitudinal and transverse form factors for electron scattering to low lying states in $^{10}$B have been analyzed as tests of the structure of the nuclear states when they are described using a no-core $(0+2)\hbar\omega$ shell model. While the results obtained from the shell model clearly show the need of other elements, three-body forces in particular, to explain the observed spectrum, the reasonable level of agreement obtained in the analyses of the scattering data suggest that the wavefunctions from our shell model using only a two-body potential are credible. Any changes to the wavefunctions with the introduction of three-body forces in the shell model Hamiltonian should therefore be relatively minor.