Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime
The physical and mathematical properties of bound-state matter configurations which are made of massive scalar fields with a non-trivial (non-minimal) coupling to the electromagnetic field of a central charged reflecting shell of radius Rs are studied analytically. In particular, we explicitly prove...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-03-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322000600 |
| _version_ | 1818324446083022848 |
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| author | Shahar Hod |
| author_facet | Shahar Hod |
| author_sort | Shahar Hod |
| collection | DOAJ |
| description | The physical and mathematical properties of bound-state matter configurations which are made of massive scalar fields with a non-trivial (non-minimal) coupling to the electromagnetic field of a central charged reflecting shell of radius Rs are studied analytically. In particular, we explicitly prove that the Klein-Gordon wave equation for the composed charged-reflecting-shell-nonminimally-coupled-linearized-massive-scalar-field system is amenable to an analytical treatment in the dimensionless weak coupling regime (or equivalently, in the dimensionless small-mass regime) μαQ≪1 (here μ,Q, and α are respectively the proper mass of the non-minimally coupled scalar field, the electric charge of the spherically symmetric supporting shell, and the non-minimal coupling parameter of the composed Maxwell-scalar theory). We derive a remarkably compact resonance formula {μ(α,Q,Rs;n)}n=1n=∞ for the allowed masses of the supported spatially regular scalar fields in the composed charged-shell-nonminimally-coupled-massive-scalar-field bound-state configurations. |
| first_indexed | 2024-12-13T11:28:43Z |
| format | Article |
| id | doaj.art-0e9e029b57364f96bec9d6f7138f7f49 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-13T11:28:43Z |
| publishDate | 2022-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-0e9e029b57364f96bec9d6f7138f7f492022-12-21T23:48:02ZengElsevierPhysics Letters B0370-26932022-03-01826136926Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regimeShahar Hod0The Ruppin Academic Center, Emeq Hefer 40250, Israel; The Hadassah Academic College, Jerusalem 91010, Israel; Correspondence to: The Ruppin Academic Center, Emeq Hefer 40250, Israel.The physical and mathematical properties of bound-state matter configurations which are made of massive scalar fields with a non-trivial (non-minimal) coupling to the electromagnetic field of a central charged reflecting shell of radius Rs are studied analytically. In particular, we explicitly prove that the Klein-Gordon wave equation for the composed charged-reflecting-shell-nonminimally-coupled-linearized-massive-scalar-field system is amenable to an analytical treatment in the dimensionless weak coupling regime (or equivalently, in the dimensionless small-mass regime) μαQ≪1 (here μ,Q, and α are respectively the proper mass of the non-minimally coupled scalar field, the electric charge of the spherically symmetric supporting shell, and the non-minimal coupling parameter of the composed Maxwell-scalar theory). We derive a remarkably compact resonance formula {μ(α,Q,Rs;n)}n=1n=∞ for the allowed masses of the supported spatially regular scalar fields in the composed charged-shell-nonminimally-coupled-massive-scalar-field bound-state configurations.http://www.sciencedirect.com/science/article/pii/S0370269322000600 |
| spellingShingle | Shahar Hod Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime Physics Letters B |
| title | Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime |
| title_full | Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime |
| title_fullStr | Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime |
| title_full_unstemmed | Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime |
| title_short | Non-minimally coupled massive scalar field configurations supported by charged reflecting shells: Analytic treatment in the weak coupling regime |
| title_sort | non minimally coupled massive scalar field configurations supported by charged reflecting shells analytic treatment in the weak coupling regime |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322000600 |
| work_keys_str_mv | AT shaharhod nonminimallycoupledmassivescalarfieldconfigurationssupportedbychargedreflectingshellsanalytictreatmentintheweakcouplingregime |