标题： 一种重新表述巴丁-库珀-施里弗能隙方程的新方法 显示英文标题

标题： A novel way of recasting the Bardeen-Cooper-Schrieffer gap equations

摘要： 间隙方程位于巴丁-库珀-施里弗（BCS）理论的核心，是描述超流性的标准工具。 作为一组非线性积分方程，间隙方程固有的困难往往阻碍了对超流态最粗略的描述。 硬核势、高密度超流体和耦合通道配对都是历史上需要对间隙方程进行特殊处理才能得到解的原因。 在本文中，我们提出了一种求解间隙方程的新方法，这种方法有望成为一种高效的通用求解器，只需要最少的\textit{事前}知识即可针对目标解。 随着对奇异核超流性的理论证据提出了对我们理解核系统这一基本性质的新问题，该方法在探索新的配对态、有限温度特性或核超流性的复杂描述的发展时可以成为一种有价值的工具。 显示英文摘要

摘要： 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.