Exploring Extra Dimensions in Spectroscopy Experiments

Department of Physics, Dalian University of Technology, Lü-ta-shih, Liaoning, China
Chinese Physics Letters (Impact Factor: 0.95). 05/2006; 23(11). DOI: 10.1088/0256-307X/23/11/006
Source: arXiv


We propose an idea in spectroscopy to search for extra spatial
dimensions as well as to detect the possible deviation from Newton's
inverse-square law at small scale, and we take high-Z hydrogenic
systems and muonic atoms as illustrations. The relevant experiments
might help to explore a more than two extra dimensions scenario in the
brane world model proposed by Arkani-Hamed, Dimopoulos, Dvali (ADD)
and to set constraints for fundamental parameters such as the size of
extra dimensions.

  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Considering that gravitational force might deviate from Newton's inverse-square law and become much stronger in small scale, we present a method to detect the possible existence of extra dimensions in the ADD model. By making use of an effective variational wave function, we obtain the nonrelativistic ground energy of a helium atom and its isoelectronic sequence. Based on these results, we calculate gravity correction of the ADD model. Our calculation may provide a rough estimation about the magnitude of the corresponding frequencies which could be measured in later experiments.
    Full-text · Article · Feb 2007 · Modern Physics Letters A
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We show how the "proton radius puzzle" emerging from the measurement of the Lamb shift in muonic hydrogen may be solved by means of a binding energy contribution due to an effective Yukawian gravitational potential related to charged weak interactions. The residual discrepancy from the experimental result should be mainly attributable to the need for the experimental determination of the gravitational radius of the proton. The absence of an analogous contribution in the Lamb shift of electronic hydrogen should imply the existence of generation-dependent interactions, corroborating previous proposals. Muonic hydrogen plays a crucial role to test possible scenarios for a gravitoweak unification, with weak interactions seen as manifestations of quantum gravity effects at the Fermi scale.
    Full-text · Article · Dec 2013 · EPL (Europhysics Letters)
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: High precision spectroscopy of muonic hydrogen has recently led to an anomaly in the Lamb shift, which has been parametrized in terms of a proton charge radius differing by seven standard deviations from the CODATA value. We show how this anomaly may be explained, within about a factor of three, in the framework of an effective Yukawian gravitational potential related to charged weak interactions, without additional free parameters with respect to the ones of the standard model. The residual discrepancy from the experimental result in this model should be attributable to the approximations introduced in the calculation, the uncertainty in the exact value of the Fermi scale relevant to the model and the lack of detailed knowledge on the gravitational radius of the proton. The latter cannot be inferred with electromagnetic probes due to the unknown gluonic contribution to the proton mass distribution. In this context, we argue that muonic hydrogen acts like a microscopic gravimeter suitable for testing a possible scenario for the reciprocal morphing between macroscopic gravitation and weak interactions, with the latter seen as the quantum, microscopic counterpart of the former.
    Preview · Article · Oct 2014 · International Journal of Modern Physics D
Show more