Relativistic effect on low-energy nucleon-deuteron scattering

Abstract

The relativistic effect on differential cross sections, nucleon-to-nucleon and nucleonto-deuteron polarization transfer coefficients, and the spin correlation function, of nucleon-deuteron elastic scattering is investigated employing several three-dimensional relativistic three-body equations and several nucleon-nucleon potentials. The polarization transfer coefficients are found to be sensitive to the details of the nucleon-nucleon potentials and the relativistic dynamics employed, and prefer trinucleon models with the correct triton binding energy.(

Retardation effects from quark confinement on low-energy nucleon dynamics

“…Ordinary quantum mechanics does not permit the extension of the above model to the case α ≤ 1 2 . Indeed, in the case of such a large-momentum behavior of the form factors ϕ(p), the use of the interaction Hamiltonian given by (31) leads to the ultraviolet divergences, i.e. the integral in (32) is not convergent.…”

“…Such form factors with the parameters given in Ref. [29] have been recently used by Rupp and Tjon [30] and Adnikari and Tomio [31]. In…”