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2007-01-17 - Article/Dans un journal avec peer-review - Anglais - 11 page(s)

Buisseret Fabien , Silvestre-Brac B., Mathieu Vincent , "Modified Newton's law, braneworlds, and the gravitational quantum well" in Classical & Quantum Gravity, 24, Issue 4, 855-865

  • Edition : Institute of Physics
  • Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211)
  • Unités de recherche UMONS : Physique nucléaire et subnucléaire (S824)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) Most of the theories involving extra dimensions assume that only the gravitational interaction can propagate in them. In such approaches, called braneworld models, the effective, four-dimensional, Newton's law is modified at short as well as at large distances. Usually, the deformation of Newton's law at large distances is parametrized by a Yukawa potential, which arises mainly from theories with compactified extra dimensions. In many other models however, the extra dimensions are infinite. These approaches lead to a large distance power-law deformation of the gravitational Newtonian potential VN(r), namely V(r) = (1 + kb/rb)VN(r), which is less studied in the literature. We investigate here the dynamics of a particle in a gravitational quantum well with such a power-law deformation. The effects of the deformation on the energy spectrum are discussed. We also compare our modified spectrum to the results obtained with the GRANIT experiment, where the effects of the Earth's gravitational field on quantum states of ultra-cold neutrons moving above a mirror are studied. This comparison leads to upper bounds on b and kb.

Notes :
  • (Anglais) hep-ph/0711138
Identifiants :
  • DOI : 10.1088/0264-9381/24/4/006