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- Title
K+N Elastic Scatterings for Estimation of the In-Medium Quark Condensate with Strange Quarks.
- Authors
Iizawa, Yutaro; Jido, Daisuke; Hübsch, Stephan
- Abstract
We revisit the low-energy K + N elastic scatterings in the context of the in-medium quark condensate with strange quarks. The chiral ward identity connects the in-medium quark condensate to the soft limit value of the pseudoscalar correlation function evaluated in nuclear matter. The in-medium correlation function of the pseudoscalar fields with strangeness describes in-medium kaon propagation and is obtained by kaon–nucleon scattering amplitudes in the low-density approximation. We construct the kaon–nucleon scattering amplitudes in chiral perturbation theory up to the next-to-leading order and add some terms of the next-to-next-to-leading order with the strange quark mass to improve expansion of the strange quark sector. We also consider the effect of a possible broad resonance state around P lab = 600 MeV/ c for I = 0 reported in the previous study. The low-energy constants are determined by existing K + N scattering data. We obtain good reproduction of the K + p scattering amplitude by chiral perturbation theory, while the description of the KN amplitude with I = 0 is not so satisfactory due to the lack of low-energy data. Performing analytic continuation of the scattering amplitudes obtained by chiral perturbation theory to the soft limit, we estimate the in-medium strange quark condensate.
- Subjects
ELASTIC scattering; QUARKS; CHIRAL perturbation theory; SCATTERING amplitude (Physics); NUCLEON-nucleon scattering; CHIRALITY of nuclear particles; NUCLEAR matter
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2024, Vol 2024, Issue 5, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptae050