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European Journal of Physics

Reply to the comment on ‘Quantum anharmonic oscillator plus delta-function potential: a molecular view of pairing formation and breaking in the coordinate space’

Tony Ibnu Sumaryada, Bima Maha Putra, Sidikrubadi Pramudito

Published Jul 14, 2021• 0 citations
Publisher

Abstract

Abstract In this short paper we clarify and answer some issues addressed by Fernandez in his comment paper. Firstly, regarding the citation issue and secondly the technical issue regarding the analytical result of the quantum anharmonic oscillator with a delta potential.
DOI
10.1088/1361-6404/ac10b2

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Abstract We propose an alternative way to describe the pairing formation and breaking via a quantum anharmonic oscillator with a delta-function potential model. Unlike BCS theory, which describes the pairing formation in the momentum space, this model works in the coordinate space and is able to give a molecular view of pairing formation and breaking in the coordinate space. By exploring the dynamical interplay between the intrinsic factor (dissociation energy) and external factor (pairing strength) of this system additional information was gained, including the critical pairing strength and critical scattering length, which might relate to the BCS–BEC crossover phenomena and halo state formation. Although only the energetic aspect of pairing is described by this model, its simplicity and pedagogical steps might help undergraduate students to understand the pairing problem in a simple way.