Momentum-space treatment of Coulomb interaction in three-nucleon reactions with two protons

Abstract

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron elastic scattering, radiative proton-deuteron capture and two-body electromagnetic disintegration of ${}^3\mathrm{He}$. The hadron dynamics is based on the purely nucleonic charge-dependent (CD) Bonn potential and its realistic extension CD Bonn + $\Delta$ to a coupled-channel two-baryon potential, allowing for single virtual $\Delta$-isobar excitation. Calculations are done using integral equations in momentum space. The screening and renormalization approach is employed for including the Coulomb interaction. Convergence of the procedure is found already at moderate screening radii. The reliability of the method is demonstrated. The Coulomb effect on observables is seen at low energies for the whole kinematic regime. In proton-deuteron elastic scattering at higher energies the Coulomb effect is confined to forward scattering angles; the $\Delta$-isobar effect found previously remains unchanged by Coulomb. In electromagnetic reactions Coulomb competes with other effects in a complicated way.

16 pages, 16 figures, submitted to Phys. Rev. C

References in corpus (8)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Polarization observables in p-d scattering below 30 MeV
• Systematic investigation of the elastic proton-deuteron differential cross section at intermediate energies
• Trinucleon photonuclear reactions with $\Delta$-isobar excitation: Processes below pion-production threshold
• Proton-Deuteron Elastic Scattering from 2.5 to 22.5 MeV
• Three-body electrodisintegration of the three-nucleon bound state with $\Delta$-isobar excitation: Processes below pion-production threshold
• Faddeev Calculations of Proton-Deuteron Radiative Capture with Exchange Currents
• Low Energy Proton-Deuteron Scattering in Configuration Space

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