A new rigorous approach to coulomb scattering

Publisher's Note: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction [Phys. Rev. C 72, 054004 (2005)]

“…The Coulomb potential is screened and the resulting scattering amplitudes are corrected by the renormalization technique of Refs. [10,11] to recover the unscreened limit. The treatment is applicable to any two-nucleon potential without separable expansion.…”

“…In that extension we follow the ideas of Refs. [6,10,11], but avoid approximations on the hadronic potential and in the treatment of screened Coulomb. Thus, our three-particle equations, including the screened Coulomb potential, are completely different from the quasiparticle equations solved in Ref.…”

Scattering of Two Spinless Particles in 3D Formulation with Coulomb Admixtures

“…This is due to the infinite range of the Coulomb interaction. And although Coulomb interactions in practice are always screened, so that conventional nonrelativistic scattering theory can be applied [1,2], the effective interaction range is still large. Using the standard partial-wave (PW) technique this means one has to sum up very many partial-wave, which can lead to some difficulties in numerical realization, especially if at the same time one also considers processes in higher energy region.…”

Comment on “Exact three-dimensional wave function and the on-shelltmatrix for the sharply cut-off Coulomb potential: Failure of the standard renormalization factor”

“…has been considered previously in the literature (see, for instance, [2,4,5] and references therein). Using asymptotic forms of ψ l and h…”

“…it depends on l, and therefore taking the limit R → ∞ in (5) presents quite a challenge. Nevertheless, it can be shown that the asymptotic form for the scattering amplitude is [2,5] …”