Abstract
The MTV-G project was started in 2011 to explore a strong gravitational field at a nuclear scale in an electron double scattering experiment, utilizing an experimental technique of the MTV experiment, which searches a electron’s T-Violating transverse polarization in nuclear beta decay at TRIUMF-ISAC. In addition to this new experiment, we have also performed a re-analysis of spectroscopic data of exotic atoms, in a gravitational point of view. From these two studies, we set new constraints on possible new Yukawa interaction at sub-mm scale, as a test of gravitational inverse square law.
Highlights
In 1998, the large extra dimension model called “ADD model” was proposed in order to geometrically resolve the hierarchy problem [1]
The present MTV-G experiment started to explore this strong gravitational field, at around nuclear scale where gravity may be amplified by a factor of 1030-40 from the Newton’s inverse square law [2]
The kinematic effect is a geometrical effect, transferring the original longitudinal polarization to the transverse polarization in a Coulomb scattering between the electron and the lead nuclei, keeping its spin direction in a laboratory frame. In addition to this kinematic effect, Thomas precession must be considered, which is caused by a relativistic effect of electromagnetic interaction in a flat space-time
Summary
In 1998, the large extra dimension model called “ADD model” was proposed in order to geometrically resolve the hierarchy problem [1]. According to the ADD model, Newton’s inverse square law is predicted to be violated at around the Λ scale, and to be modified its potential shape with a stronger power at a short range: r Λ. If we assume that the number of the large extradimension d is larger than one, the gravitational potential at short distance must be modified to be very strong On the other hand, according to the Einstein’s general relativistic theory, warped space-time is regarded as the origin of gravity By combing this idea with the ADD model, we can assume an existence of a strongly deformed space-time around nuclei. We are trying to utilize this space-time deformation to detect the strong gravitational field, by means of measuring electron’s spin precession in an electron-nuclear scattering, by the geodetic precession effect in a warped space-time
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