Momentum-space 3N Faddeev calculations of hadronic and electromagnetic reactions with proton-proton Coulomb and three-nucleon forces included

TL;DR

This paper develops a momentum-space Faddeev approach to include proton-proton Coulomb and three-nucleon forces in calculations of hadronic and electromagnetic reactions involving three-nucleon systems, enhancing the accuracy of theoretical predictions.

Contribution

It introduces a novel formulation that incorporates Coulomb and three-nucleon forces into three-nucleon Faddeev calculations in momentum space, applicable to various reactions.

Findings

Successfully formulated the inclusion of Coulomb and 3NF in Faddeev equations.

Demonstrated the practical feasibility of the new approach.

Extended the method to electron- and gamma-induced reactions on 3He.

Abstract

We extend our approach to incorporate the proton-proton (pp) Coulomb force into the three-nucleon (3N) momentum-space Faddeev calculations of elastic proton-deuteron (pd) scattering and breakup to the case when also a three-nucleon force (3NF) is acting. In addition we formulate that approach in the application to electron- and gamma-induced reactions on 3He. The main new ingredient is a 3-dimensional screened pp Coulomb t-matrix obtained by a numerical solution of a 3-dimensional Lippmann-Schwinger equation (LSE). The resulting equations have the same structure as the Faddeev equations which describe pd scattering without 3NF acting. That shows the practical feasibility of both presented formulations.