A novel way of recasting the Bardeen-Cooper-Schrieffer gap equations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911199419957248 |
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| author | Palkanoglou, Georgios Gezerlis, Alexandros |
| author_facet | Palkanoglou, Georgios Gezerlis, Alexandros |
| contents | The gap equations lie at the core of the Bardeen-Cooper-Schrieffer (BCS) theory, a standard tool in the description of superfluidity. As a set of non-linear integral equations, the gap equations' inherent difficulties oftentimes hinder even the crudest descriptions of superfluid states. Hard-core potentials, high-density superfluids, and coupled-channel pairing are all reasons that have historically required one to provide special treatment to the gap equations to get a solution. In this paper we present a new method for solving the gap equations that holds the promise of being an efficient universal solver that requires the minimum amount of \textit{a priori} knowledge of the targeted solutions. With theoretical evidence of exotic nuclear superfluidity posing new questions to our understanding of this fundamental property of nuclear systems, the presented method can be a valuable tool when exploring new pairing states, finite-temperature properties, or the development of sophisticated descriptions of nuclear superfludity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_07384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A novel way of recasting the Bardeen-Cooper-Schrieffer gap equations Palkanoglou, Georgios Gezerlis, Alexandros Nuclear Theory Superconductivity The gap equations lie at the core of the Bardeen-Cooper-Schrieffer (BCS) theory, a standard tool in the description of superfluidity. As a set of non-linear integral equations, the gap equations' inherent difficulties oftentimes hinder even the crudest descriptions of superfluid states. Hard-core potentials, high-density superfluids, and coupled-channel pairing are all reasons that have historically required one to provide special treatment to the gap equations to get a solution. In this paper we present a new method for solving the gap equations that holds the promise of being an efficient universal solver that requires the minimum amount of \textit{a priori} knowledge of the targeted solutions. With theoretical evidence of exotic nuclear superfluidity posing new questions to our understanding of this fundamental property of nuclear systems, the presented method can be a valuable tool when exploring new pairing states, finite-temperature properties, or the development of sophisticated descriptions of nuclear superfludity. |
| title | A novel way of recasting the Bardeen-Cooper-Schrieffer gap equations |
| topic | Nuclear Theory Superconductivity |
| url | https://arxiv.org/abs/2510.07384 |