Antiproton-deuteron hydrogenic states in optical models

Abstract

By solving the Faddeev equations for the ppn system, we compute the antiproton-deuteron level shifts and widths for the lowest hydrogenic states as well as the corresponding pd scattering lengths and volumes. The pd annihilation densities are obtained and compared to the nuclear density of deuterium. The validity of the Trueman relation for composite particles is studied. The strong part of NN interaction is described by two different optical models, including the pp-nn coupling and n-p mass difference, while for NN several realistic interactions are used.

arXiv commentTo appear in Physics Letters B (2021)

References in corpus (10)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The two-nucleon system at next-to-next-to-next-to-leading order
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Weak capture of protons by protons
• The antinucleon-nucleon interaction at low energy : annihilation dynamics
• Paris nucleon-antinucleon potential constrained by recent antiprotonic-atom data and antineutron-proton total cross sections
• Three-neutron resonance trajectories for realistic interaction models
• Antiproton physics
• Scattering of heavy charged particles on hydrogen atoms

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• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Light antiproton-nucleus systems at low energies with the ab initio NCSM/RGM method
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles