Details

Autor(en) / Beteiligte

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

Titel

Quantum gravity corrections to the mean field theory of nucleons

Ist Teil von

• The European physical journal. C, Particles and fields, 2021-10, Vol.81 (10), p.1-9, Article 870

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2021

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• 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.