Work

Quantum gravity corrections to the mean field theory of nucleons

Year: 2021

Type: article

Abstract: In this paper, we analyze the correction to the mean field theory potential for a system of nucleons. It will be argued that these corrections can be obtained by deforming the Schrödinger’s equation describing a system of nucleons by a minimal length in the background geometry of space-time. This is because such a minimal length occurs due to quantum gravitational effects, and modifies the low energy quantum mechanical systems. In fact, as the mean field potential for the nucleons is represented by the Woods–Saxon potential, we will explicitly analyze such corrections to this potential. We will obtain the corrections to the energy eigenvalues of the deformed Schrödinger’s equation for the Woods–Saxon potential. We will also construct the wave function for the deformed Schrödinger’s equation.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-021-09679-4

Authors: Abrar Ahmed Naqash, Barun Majumder, Soumodeep Mitra, Moomin Mushtaq Bangle, Mir Faizal

Institutions: University of Kashmir, University of Tennessee at Knoxville, Indian Association for the Cultivation of Science, Cluster University Srinagar, University of Lethbridge, Canadian Quantum Research Center, University of British Columbia, Okanagan Campus

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3202750880

FWCI: 0.059

Cites: 82

Cited by: 1

Related to: 10