The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass
In the bound states in the continuum (BIC), the binding energy is positive, and the mass of a composite particle is greater than the total mass of its constituents. In this work, the BIC state is studied for the electron-proton system using the ladder Bethe-Salpeter equation. We demonstrate that th...
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| Format: | Article |
| Language: | English |
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Andromeda Publishing and Academic Services
2023-12-01
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| Series: | Letters in High Energy Physics |
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| Online Access: | http://journals.andromedapublisher.com/index.php/LHEP/article/view/457 |
| _version_ | 1797372738494529536 |
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| author | Alexander Ivanovich Agafonov |
| author_facet | Alexander Ivanovich Agafonov |
| author_sort | Alexander Ivanovich Agafonov |
| collection | DOAJ |
| description |
In the bound states in the continuum (BIC), the binding energy is positive, and the mass of a composite particle is greater than the total mass of its constituents. In this work, the BIC state is studied for the electron-proton system using the ladder Bethe-Salpeter equation. We demonstrate that there is a momentum space region in which the electromagnetic interaction between the particles is strongly enhanced, and the effective coupling constant is α p mp/me = 0.313, where α is the fine structure constant, and mp and me are the proton and the electron masses. This interaction resonance causes the confinement of the pair in the BIC state with the positive binding energy of 1.531me. The integral equation for the bispinor wave function is derived. This normalized wave function, which must be complex, was found numerically. It
turned out that in the BIC state, the average radius for the electron is 48 Fm, and that for the proton is 1.1 Fm. This composite boson can exist exclusively in the free state, in which its properties, such as its form factors, should only be studied. In bound states with other particles, the composite loses its individuality. In Stern-Gerlach experiments, the electron-proton composite boson will demonstrate the properties of a spin 1/2 fermion.
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| first_indexed | 2024-03-08T18:40:08Z |
| format | Article |
| id | doaj.art-a7314adddbfe41ce92b5b4ed8d52d25c |
| institution | Directory Open Access Journal |
| issn | 2632-2714 |
| language | English |
| last_indexed | 2024-03-08T18:40:08Z |
| publishDate | 2023-12-01 |
| publisher | Andromeda Publishing and Academic Services |
| record_format | Article |
| series | Letters in High Energy Physics |
| spelling | doaj.art-a7314adddbfe41ce92b5b4ed8d52d25c2023-12-29T10:02:01ZengAndromeda Publishing and Academic ServicesLetters in High Energy Physics2632-27142023-12-012023110.31526/lhep.2023.457The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron MassAlexander Ivanovich Agafonov0National Research Centre “Kurchatov Institute”, Moscow 123182, Russia; Moscow Aviation Institute (National Research University), Moscow 125993, Russia In the bound states in the continuum (BIC), the binding energy is positive, and the mass of a composite particle is greater than the total mass of its constituents. In this work, the BIC state is studied for the electron-proton system using the ladder Bethe-Salpeter equation. We demonstrate that there is a momentum space region in which the electromagnetic interaction between the particles is strongly enhanced, and the effective coupling constant is α p mp/me = 0.313, where α is the fine structure constant, and mp and me are the proton and the electron masses. This interaction resonance causes the confinement of the pair in the BIC state with the positive binding energy of 1.531me. The integral equation for the bispinor wave function is derived. This normalized wave function, which must be complex, was found numerically. It turned out that in the BIC state, the average radius for the electron is 48 Fm, and that for the proton is 1.1 Fm. This composite boson can exist exclusively in the free state, in which its properties, such as its form factors, should only be studied. In bound states with other particles, the composite loses its individuality. In Stern-Gerlach experiments, the electron-proton composite boson will demonstrate the properties of a spin 1/2 fermion. http://journals.andromedapublisher.com/index.php/LHEP/article/view/457composite particlethe bound states in the continuumthe electron-proton systemthe interaction resonance |
| spellingShingle | Alexander Ivanovich Agafonov The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass Letters in High Energy Physics composite particle the bound states in the continuum the electron-proton system the interaction resonance |
| title | The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass |
| title_full | The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass |
| title_fullStr | The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass |
| title_full_unstemmed | The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass |
| title_short | The Electron-Proton Bound State in the Continuum with the Positive Binding Energy of 1.531 of the Electron Mass |
| title_sort | electron proton bound state in the continuum with the positive binding energy of 1 531 of the electron mass |
| topic | composite particle the bound states in the continuum the electron-proton system the interaction resonance |
| url | http://journals.andromedapublisher.com/index.php/LHEP/article/view/457 |
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