Two-nucleon S0 1 amplitude zero in chiral effective field theory

M. Sánchez Sánchez, C. J. Yang, Bingwei Long, Ubirajara Van Kolck

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Abstract

We present a new rearrangement of short-range interactions in the S01 nucleon-nucleon channel within chiral effective field theory. This is intended to address the slow convergence of Weinberg's scheme, which we attribute to its failure to reproduce the amplitude zero (scattering momentum ≃340 MeV) at leading order. After the power counting scheme is modified to accommodate the zero at leading order, it includes subleading corrections perturbatively in a way that is consistent with renormalization-group invariance. Systematic improvement is shown at next-to-leading order, and we obtain results that fit empirical phase shifts remarkably well all the way up to the pion-production threshold. An approach in which pions have been integrated out is included, which allows us to derive analytic results that also fit phenomenology surprisingly well.

Original languageEnglish (US)
Article number024001
JournalPhysical Review C
Volume97
Issue number2
DOIs
Publication statusPublished - Feb 5 2018

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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