Four-body variational calculation of a hydrogen-like atom involving an excited muonic molecule
Abstract We report a four-body variational calculation of a hydrogen-like atom consisting of an excited muonic molecule consisting of d, t, and μ, and a ground state electron. Due to the compact size of the muonic molecule dtμ, it behaves as a quasi-nucleus for the electron; however, the system is a...
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Published in | Journal of physics. Conference series Vol. 2207; no. 1; pp. 12035 - 12040 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.03.2022
|
Subjects | |
Online Access | Get full text |
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Summary: | Abstract
We report a four-body variational calculation of a hydrogen-like atom consisting of an excited muonic molecule consisting of d, t, and μ, and a ground state electron. Due to the compact size of the muonic molecule dtμ, it behaves as a quasi-nucleus for the electron; however, the system is actually a resonance state because the de-excitation energy of dtμ is sufficient to ionize the electron. We calculate resonance energy levels of the four-body system dtμe using a Gaussian expansion method and a stabilization method. Our best calculation results in a four-body energy of –100.159 88 a.u. which is in good agreement with the value estimated by the first order perturbation theory [Harston
et al.
Zeitschrift für Physik D 22, 635 (1992)]. We indicate that implementation of the electron-induced polarization of dt
μ
will be indispensable for the further precise determination of the resonance energy. The present result is the first step towards a full four-body calculation of the muonic molecule under the presence of the electron, which is of importance for development of a muon catalyzed fusion kinetics model. |
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ISSN: | 1742-6588 1742-6596 |
DOI: | 10.1088/1742-6596/2207/1/012035 |