Role of the total isospin 3/2 component in three-nucleon reactions
Abstract
We discuss the role of the three-nucleon isospin T=3/2 amplitude in elastic neutron-deuteron scattering and in the deuteron breakup reaction. The contribution of this amplitude originates from charge-independence breaking of the nucleon-nucleon potential and is driven by the difference between neutron-neutron (proton-proton) and neutron-proton forces. We study the magnitude of that contribution to the elastic scattering and breakup observables, taking the locally regularized chiral N4LO nucleon-nucleon potential supplemented by the chiral N2LO three-nucleon force. For comparison we employ also the Av18 nucleon-nucleon potential combined with the Urbana IX three-nucleon force. We find that the isospin T=3/2 component is important for the breakup reaction and the proper treatment of charge-independence breaking in this case requires the inclusion of the 1S0 state with isospin T=3/2. For neutron-deuteron elastic scattering the T=3/2 contributions are insignificant and charge-independence breaking can be accounted for by using the effective t-matrix generated with the so-called "2/3-1/3" rule.
Keywords
Cite
@article{arxiv.1605.02011,
title = {Role of the total isospin 3/2 component in three-nucleon reactions},
author = {H. Witała and J. Golak and R. Skibiński and K. Topolnicki and E. Epelbaum and K. Hebeler and H. Kamada and H. Krebs and U. -G. Meißner and A. Nogga},
journal= {arXiv preprint arXiv:1605.02011},
year = {2016}
}
Comments
24 pages, 8 figures, 3 Tables