Elastic Scatterings for Estimation of the In-Medium Quark Condensate with Strange Quarks

Yutaro Iizawa (Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan) ; Daisuke Jido (Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan) ; Stephan Hübsch (Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan)

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.

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      "value": "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\u2013nucleon scattering amplitudes in the low-density approximation. We construct the kaon\u2013nucleon 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."
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Published on:
08 April 2024
Publisher:
OUP
Published in:
Progress of Theoretical and Experimental Physics , Volume 2024 (2024)
Issue 5
Article ID: 053D01
DOI:
https://doi.org/10.1093/ptep/ptae050
arXiv:
2308.09397
Copyrights:
© The Author(s) 2024. Published by Oxford University Press on behalf of the Physical Society of Japan.
Licence:
CC-BY-4.0

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