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FINITE-SIZE EFFECTS IN THE GAP EQUATION FOR PARIS INTERACTION

机译:巴黎相互作用的间隙方程中的有限效应

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摘要

The pairing problem in nuclei is approached starting from a realistic nucleon-nucleon interaction and solving the full gap equation in a complete basis. To this purpose the original bare nucleon-nucleon interaction, a separable form of the Paris potential, in the S-1(0) channel is first renormalized into a large spherical Woods-Saxon basis which includes single-particle levels up to 100 MeV. The corresponding matrix elements in the Woods-Saxon basis are then used to solve exactly the gap equation. Proton and neutron gaps are computed for Cr and Fe isotopes. Finite-size effects are evidenced. [References: 25]
机译:从实际的核子-核子相互作用开始,并完整地解决全间隙方程,从而解决了核中的配对问题。为此,首先将S-1(0)通道中的原始裸核子-核子相互作用(巴黎势的可分离形式)重新规范化为大的球形Woods-Saxon基础,其中包括高达100 MeV的单粒子水平。然后使用伍兹-撒克逊基础上的相应矩阵元素来精确求解间隙方程。计算铬和铁同位素的质子和中子间隙。有限尺寸的影响被证明。 [参考:25]

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