English

$K \to 2 \pi$ Decay in the Nambu-Jona-Lasinio Model

High Energy Physics - Phenomenology 2009-09-25 v1 Nuclear Theory
Authors: M. Takizawa , T. Inoue , M. Oka
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Abstract

We study the K→2πK \to 2 \pi decays using the UL(3)×UR(3)U_L(3) \times U_R(3) version of the Nambu-Jona-Lasinio model with the effective ΔS=1\Delta S = 1 nonleptonic weak interaction. The ΔI=3/2\Delta I = {3/2} amplitude is in reasonable agreement with experimental data. On the other hand, the calculated ΔI=1/2\Delta I = {1/2} amplitudes strongly depend on the mass of the low-lying scalar-isoscalar σ\sigma meson, and therefore give a strong constraint on the parameters of the model.

Keywords

Nambu-Jona-Lasinio model kaon decay nonleptonic weak interaction Delta I = 1/2 rule sigma meson

Cite

@article{arxiv.hep-ph/9501391,
  title  = {$K \to 2 \pi$ Decay in the Nambu-Jona-Lasinio Model},
  author = {M. Takizawa and T. Inoue and M. Oka},
  journal= {arXiv preprint arXiv:hep-ph/9501391},
  year   = {2009}
}

Comments

10 pages, 3 Postscript figures, Talk given at YITP Workshp: From Hadronic Matter to Quark Matter: Evolving View of Hadronic Matter, Kyoto, Japan, Oct. 30-Nov. 1, 1994, to be published in Prog. Theor. Phys. Suppl

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