Proton pairing in neutron stars from chiral effective field theory

Yeunhwan Lim, Jeremy W. Holt

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Abstract

We study the S01 proton pairing gap in β-equilibrated neutron star matter within the framework of chiral effective field theory. We focus on the role of three-body forces, which strongly modify the effective proton-proton spin-singlet interaction in dense matter. We find that three-body forces generically reduce both the size of the pairing gap and the maximum density at which proton pairing may occur. The pairing gap is computed within Bardeen-Cooper-Schrieffer theory using a single-particle dispersion relation calculated up to second order in perturbation theory. Model uncertainties are estimated by varying the nuclear potential (its order in the chiral expansion and high-momentum cutoff) and the choice of single-particle spectrum in the gap equation. We find that a second-order perturbative treatment of the single-particle spectrum suppresses the proton S01 pairing gap relative to the use of a free spectrum. We estimate the critical temperature for the onset of proton superconductivity to be Tc=(3.2-5.1)×109 K, which is consistent with previous theoretical results in the literature and marginally within the range deduced from a recent Bayesian analysis of neutron star cooling observations.

Original languageEnglish
Article number025807
JournalPhysical Review C
Volume103
Issue number2
DOIs
StatePublished - Feb 2021

Bibliographical note

Funding Information:
Work supported by the National Science Foundation under Grant No. PHY1652199 and by the US Department of Energy National Nuclear Security Administration under Grant No. DE-NA0003841. Y.L. was supported in part by the Max Planck Society and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project-ID 279384907 – SFB 1245. Portions of this research were conducted with the advanced computing resources provided by Texas A&M High Performance Research Computing.

Publisher Copyright:
© 2021 American Physical Society.

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