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The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory

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arxiv 1704.08524 v1 pith:6P3BNKVL submitted 2017-04-27 nucl-th

M. Sánchez Sánchez , C.-J. Yang , Bingwei Long , U. van Kolck This is my paper · ORCID
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keywords amplitudechiraleffectivefieldorderresultstheorywell
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abstract

We present a new rearrangement of short-range interactions in the $^1S_0$ nucleon-nucleon channel within Chiral Effective Field Theory. This is intended to reproduce the amplitude zero (scattering momentum $\simeq$ 340 MeV) at leading order, and 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.

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