Bound and Resonant States of Muonic Few-Body Coulomb Systems: Extended Stochastic Variational Approach
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915900616081408 |
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| author | Wen, Liang-Zhen Zhu, Shi-Lin |
| author_facet | Wen, Liang-Zhen Zhu, Shi-Lin |
| contents | We compute the bound and resonant states of hydrogen-like muonic ions ($μμp$, $μμd$, $μμt$) and three-body muonic molecular ions ($ppμ$, $pdμ$, $ptμ$, $ddμ$, $dtμ$, $ttμ$), and the four-body double-muonic hydrogen molecule ($μμpp$) using an extended stochastic variational method combined with complex scaling. The approach provides a unified treatment of bound and quasibound states and achieves an energy accuracy better than $0.1~\mathrm{eV}$ across all systems studied. Complete spectra below the corresponding $n=2$ atomic thresholds are obtained, including several previously unresolved shallow resonances in both three- and four-body sectors. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_07323 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bound and Resonant States of Muonic Few-Body Coulomb Systems: Extended Stochastic Variational Approach Wen, Liang-Zhen Zhu, Shi-Lin Atomic Physics High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment We compute the bound and resonant states of hydrogen-like muonic ions ($μμp$, $μμd$, $μμt$) and three-body muonic molecular ions ($ppμ$, $pdμ$, $ptμ$, $ddμ$, $dtμ$, $ttμ$), and the four-body double-muonic hydrogen molecule ($μμpp$) using an extended stochastic variational method combined with complex scaling. The approach provides a unified treatment of bound and quasibound states and achieves an energy accuracy better than $0.1~\mathrm{eV}$ across all systems studied. Complete spectra below the corresponding $n=2$ atomic thresholds are obtained, including several previously unresolved shallow resonances in both three- and four-body sectors. |
| title | Bound and Resonant States of Muonic Few-Body Coulomb Systems: Extended Stochastic Variational Approach |
| topic | Atomic Physics High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2512.07323 |