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• W4381330652 abstract "Abstract In some quantum many particle systems, the fermions could form Cooper pairs by exchanging intermediate bosons. This then drives a superconducting phase transition or a superfluid transition. Such transitions should be theoretically investigated by using proper non-perturbative methods. Here we take the neutron superfluid transition as an example and study the Cooper pairing of neutrons mediated by neutral π -mesons in the low-density region of a neutron matter. We perform a non-perturbative analysis of the neutron–meson coupling and compute the pairing gap Δ, the critical density ρ c , and the critical temperature T c by solving the Dyson–Schwinger equation of the neutron propagator. We first carry out calculations under the widely used bare vertex approximation and then incorporate the contribution of the lowest-order vertex correction. This vertex correction is not negligible even at low densities and its importance is further enhanced as the density increases. The transition critical line on density-temperature plane obtained under the bare vertex approximation is substantially changed after including the vertex correction. These results indicate that the vertex corrections play a significant role and need to be seriously taken into account." @default.
• W4381330652 created "2023-06-21" @default.
• W4381330652 creator A5056096823 @default.
• W4381330652 creator A5091272837 @default.
• W4381330652 date "2023-07-11" @default.
• W4381330652 modified "2023-09-27" @default.
• W4381330652 title "Pion-mediated Cooper pairing of neutrons: beyond the bare vertex approximation" @default.
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• W4381330652 doi "https://doi.org/10.1088/1361-6471/acdfec" @default.
• W4381330652 hasPublicationYear "2023" @default.
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