Testing Lorentz- and CPT-invariance with ultracold neutrons

Abstract

In this paper we investigate, within the standard model extension framework, the influence of Lorentz- and CPT-violating terms on gravitational quantum states of ultracold neutrons. Using a semiclassical wave packet, we derive the effective nonrelativistic Hamiltonian which describes the neutrons vertical motion by averaging the contributions from the perpendicular coordinates to the free falling axis. We compute the physical implications of the Lorentz- and CPT-violating terms on the spectra. The comparison of our results with those obtained in the GRANIT experiment leads to an upper bound for the symmetries-violation $c_{\mu \nu }^n$ coefficients. We find that ultracold neutrons are sensitive to the $a_i^n$ and $e_i^n$ coefficients, which thus far are unbounded by experiments in the neutron sector. We propose two additional problems involving ultracold neutrons which could be relevant for improving our current bounds; namely, gravity-resonance-spectroscopy and neutron whispering gallery wave.

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Cited by in corpus (8)

• Backgrounds in gravitational effective field theory
• Particle Physics at the European Spallation Source
• Searches for beyond-Riemann gravity
• Probing of violation of Lorentz invariance by ultracold neutrons in the Standard Model Extension
• Gravitational Searches for Lorentz Violation with Ultracold Neutrons
• GRASIAN: Towards the first demonstration of gravitational quantum states of atoms with a cryogenic hydrogen beam
• The CPT-violating effects on neutrons' gravitational bound state
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model