Antiproton-deuteron hydrogenic states in optical models

TL;DR

This paper calculates the energy shifts, widths, and scattering parameters for antiproton-deuteron hydrogenic states using optical models and Faddeev equations, providing insights into annihilation densities and interaction validity.

Contribution

It introduces a detailed computational approach combining optical models and Faddeev equations to analyze antiproton-deuteron states and their interactions.

Findings

Computed level shifts and widths for antiproton-deuteron states.

Compared annihilation densities with deuterium nuclear density.

Assessed the validity of the Trueman relation for composite particles.

Abstract

By solving the Faddeev equations for the \={p}pn system, we compute the antiproton-deuteron level shifts and widths for the lowest hydrogenic states as well as the corresponding \={p}d scattering lengths and volumes. The \={p}d 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 \={N}N interaction is described by two different optical models, including the \={p}p-\={n}n coupling and n-p mass difference, while for NN several realistic interactions are used.