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

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

1995-01-27

arxiv.org/abs/hep-ph/9501391v1

Prog.Theor.Phys.Suppl.120:335-342,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 Postscript figures, Talk given at YITP Workshp: From Hadronic Matter to Quark Matter: Evolving View of Hadronic Ma

Scientific paper

10.1143/PTPS.120.335

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

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