Weakly bound states of neutrons in gravitational fields

TL;DR

This paper investigates the quantum behavior of neutrons in Earth's gravitational field, including potential modifications from Randall-Sundrum gravity, with implications for neutron star physics and future research directions.

Contribution

It introduces a semiclassical approach to neutrons in weak gravitational fields and extends it to include Randall-Sundrum corrections, exploring novel quantum-gravity interactions.

Findings

Neutrons can occupy weakly bound states in Earth's gravity.

Randall-Sundrum corrections modify neutron gravitational states.

Implications for neutron star physics are discussed.

Abstract

In this paper a quantum-mechanical behaviour of neutrons in gravitational fields is considered. A first estimation is made using the semiclassical approximation, neglecting General Relativity, magnetic and rotation effects, for neutrons in weakly bound states in the weak gravitational field of the Earth. This result was generalized for a case, in which the Randall - Sundrum correction to Newton's gravitational law on the small scales was applied. Application of the results to Neutron Star physics is considered and further possible perspectives are discussed.