dorsal/arxiv
View SchemaAb initio description of $\bar{p}+\rm{^3H}$ and $\bar{p}+\rm{^3He}$ systems in optical models
| Authors | Pierre-Yves Duerinck, Rimantas Lazauskas |
|---|---|
| Categories | |
| ArXiv ID | 2601.06541vv1 |
| URL | https://arxiv.org/abs/2601.06541 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In the context of the ongoing PUMA experiment (CERN), which investigates antiproton annihilation on atomic nuclei, we study the energy shifts and widths of Rydberg states in the $\bar{p}+\rm{^3H}$ and $\bar{p}+\rm{^3He}$ systems by performing ab initio calculations. The scattering lengths and scattering volumes are first determined by solving the Faddeev-Yakubovsky equations in configuration space. The level shifts and widths of the corresponding $\bar{p} \, \rm{^3H}$ and $\bar{p} \, \rm{^3He}$ hydrogen-like states are then obtained using the Trueman formula. A pronounced model dependence associated with the nucleon-antinucleon interaction is observed for certain states. Finally, annihilation densities are computed from the four-body wavefunctions. Comparison with the nuclear density distributions indicates that the nucleon-antinucleon annihilation is predominantly peripheral.
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"abstract": "In the context of the ongoing PUMA experiment (CERN), which investigates antiproton annihilation on atomic nuclei, we study the energy shifts and widths of Rydberg states in the $\\bar{p}+\\rm{^3H}$ and $\\bar{p}+\\rm{^3He}$ systems by performing ab initio calculations. The scattering lengths and scattering volumes are first determined by solving the Faddeev-Yakubovsky equations in configuration space. The level shifts and widths of the corresponding $\\bar{p} \\, \\rm{^3H}$ and $\\bar{p} \\, \\rm{^3He}$ hydrogen-like states are then obtained using the Trueman formula. A pronounced model dependence associated with the nucleon-antinucleon interaction is observed for certain states. Finally, annihilation densities are computed from the four-body wavefunctions. Comparison with the nuclear density distributions indicates that the nucleon-antinucleon annihilation is predominantly peripheral.",
"arxiv_id": "2601.06541",
"authors": [
"Pierre-Yves Duerinck",
"Rimantas Lazauskas"
],
"categories": [
"nucl-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Ab initio description of $\\bar{p}+\\rm{^3H}$ and $\\bar{p}+\\rm{^3He}$ systems in optical models",
"url": "https://arxiv.org/abs/2601.06541",
"version": "v1"
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"type": "Model",
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