Investigación

 

Estimation of length scale of RS II-p braneworld model through perturbations in Helium's atom ground state energy

 

N. Garrido and H.H. Hernández

 

Universidad Autónoma de Chihuahua, Facultad de Ingeniería, Nuevo Campus Universitario, Chihuahua, Chih., México, e-mail: falgargon@gmail.com; hhernandez@uach.mx

 

Recibido el 20 de marzo de 2012;
aceptado el 24 de abril de 2012

 

Abstract

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 making use 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.

Keywords: Brane-worlds; extra dimensions phenomenology; Helium atom; perturbative methods; variational methods.

 

PACS: 31.15.xp; 31.15.xt; 04.50.-h; 31.15.-p

 

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Acknowledgments

This work was supported by Mexico's National Council for Science and Technology (CONACyT) grant CONACyT-CB 2008-01-101774.

 

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