Estimation of length scale of RS II-p braneworld model through perturbations in Helium´s atom ground state energy
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedad Mexicana de Física A.C.
2012
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| _version_ | 1876465040206331904 |
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| author | N. Garrido |
| author_facet | N. Garrido |
| contents | Estimation of length scale of RS II-p braneworld model through perturbations in Helium´s atom ground state energy N. Garrido H.H. Hernández Física, Astronomía y Matemáticas Brane worlds Helium atom variational methods perturbative methods We put to the test an effective three-dimensional electrostatic potential, obtained effectively by considering an electrostatic source inside a (5+p)-dimensional braneworld scenario with p compact and one infinite spacial extra dimensions in the RS II-p model, for p = 1 and p = 2. This potential is regular at the source and matches the standard Coulomb potential outside a neighborhood. We use variational and perturbative approximation methods to calculate corrections to the ground energy of the Helium atom modified by this potential, by makinguse of a 6 and 39-parameter trial wave function of Hylleraas type for the ground state. These corrections to the ground-state energy are compared with experimental data for Helium atom in order to set bounds for the extra dimensions length scale. We find that these bounds are less restrictive than the ones obtained by Morales et. al. through a calculation using the Lamb shift in Hydrogen. 2012 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57023376007 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.58 |
| format | Artículo científico |
| id | redalyc_57023376007 |
| institution | Redalyc |
| language | en |
| publishDate | 2012 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Estimation of length scale of RS II-p braneworld model through perturbations in Helium´s atom ground state energy N. Garrido Física, Astronomía y Matemáticas Brane worlds Helium atom variational methods perturbative methods Estimation of length scale of RS II-p braneworld model through perturbations in Helium´s atom ground state energy N. Garrido H.H. Hernández Física, Astronomía y Matemáticas Brane worlds Helium atom variational methods perturbative methods We put to the test an effective three-dimensional electrostatic potential, obtained effectively by considering an electrostatic source inside a (5+p)-dimensional braneworld scenario with p compact and one infinite spacial extra dimensions in the RS II-p model, for p = 1 and p = 2. This potential is regular at the source and matches the standard Coulomb potential outside a neighborhood. We use variational and perturbative approximation methods to calculate corrections to the ground energy of the Helium atom modified by this potential, by makinguse of a 6 and 39-parameter trial wave function of Hylleraas type for the ground state. These corrections to the ground-state energy are compared with experimental data for Helium atom in order to set bounds for the extra dimensions length scale. We find that these bounds are less restrictive than the ones obtained by Morales et. al. through a calculation using the Lamb shift in Hydrogen. 2012 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57023376007 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.58 |
| title | Estimation of length scale of RS II-p braneworld model through perturbations in Helium´s atom ground state energy |
| topic | Física, Astronomía y Matemáticas Brane worlds Helium atom variational methods perturbative methods |
| url | https://www.redalyc.org/articulo.oa?id=57023376007 |