https://doi.org/10.1140/epjc/s10052-021-09679-4
Regular Article – Theoretical Physics
Quantum gravity corrections to the mean field theory of nucleons
1
Department of Physics, University of Kashmir, 190006, Srinagar, India
2
University of Tennessee, TN 37916, Knoxville, USA
3
School of Physical Sciences, Indian Association for the Cultivation of Science, 700032, Kolkata, India
4
Department of Physics, Cluster University Srinagar, 190001, Srinagar, India
5
Canadian Quantum Research Center, 204-3002, 32 Ave, BC V1T 2L7, Vernon, Canada
6
Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB T1K 3M4, Canada
7
Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan Campus, Kelowna, BC V1V 1V7, Canada
Received:
4
March
2021
Accepted:
22
September
2021
Published online:
5
October
2021
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.
© The Author(s) 2021
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