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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 infinitespacial extra dimensions in the RS II-$p$ model, for $p=1$ and $p=2$. Thispotential is regular at the source and matches the standard Coulomb potentialoutside a neighborhood. We use variational and perturbative approximationmethods to calculate corrections to the ground energy of the Helium atommodified by this potential, by making use of a 6 and 39-parameter trial wavefunction of Hylleraas type for the ground state. These corrections to theground-state energy are compared with experimental data for Helium atom inorder to set bounds for the extra dimensions length scale. We find that thesebounds are less restrictive than the ones obtained by Morales et. al. through acalculation using the Lamb shift in Hydrogen.

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