Nucleon-nucleon interaction charge dependence in Nd breakup within effective “isospinless” model

The role of the total isospin 3/2 component in three-nucleon reactions was studied in [1], based on the standard isospin formalism. The component has to be taken into account to describe the effect of the charge-independence breaking (CIB) in nucleon-nucleon interaction. We propose alternative approach based in ''given charge formalism'' which includes the isospin 3/2 component in a natural way, assuming the neutrons and protons to be distinguishable particles.

We developed the effective “isospinless” model for the three-nucleon systems based on the given charge formalism. The charge symmetry breaking (CSB) effect for ³He and ³H is simulated by using s-wave MT-I-III potential with adjusted parameters. The calculated energy difference between the ³He and ³H, caused by the CSB, is well consistent with previous evaluations.

The isospin and “isospinless” models are applied to simulate the CIB effect for the Nd breakup scattering at low energy. We have shown that the obtained results weakly depend on CIB taken into account. However, the corrections are noticeable on the background of possible numerical inaccuracy.

[1] H. Witala, et al. Few-Body Syst.  57, 1213 (2016).