Rare weak decays of ${\eta }^{\prime }\to K\pi$

Abstract

Rare weak decays of ${\eta }^{\prime }\to K\pi$ have been investigated in the framework of the $U(3)$ chiral perturbation theory at the leading order. Our study shows that the branching ratio $\mathcal{B}({\eta }^{\prime }\to K\pi )$ is of the order of $10^{-11}$, which is far below the present experimental upper bound given by the BESIII Collaboration. By further analysis of ${\eta }^{\prime }\to K^{+}{\pi }^{-}$ and ${\eta }^{\prime }\to K^0{\pi }^0$, the ratio of isospin amplitudes is found that $|A_{1/2}/A_{3/2}|\simeq 35$, which supports that the $\Delta I=1/2$ transition enhancement, namely, the $\Delta I=1/2$ rule, could be functional in ${\eta }^{\prime }$ weak decays.

arXiv commentLaTex, 6 pages, minor changes and references added. To appear in Phys. Rev. D

References in corpus (16)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Chiral perturbation theory
• Chiral Perturbation Theory
• Large N_c in chiral perturbation theory
• On the 1/N expansion in chiral perturbation theory
• An analysis of two-body non-leptonic B decays involving light mesons in the standard model
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Effective Hadron Dynamics: From Meson Masses to the Proton Spin Puzzle
• Bounds on the light quark masses
• CP violation in kaon decays
• Radiative Kaon Decays and the Penguin Contribution to the Delta I = 1/2 Rule
• Flavor Symmtry Breaking andd Mixing Effects in the eta-gamma and eta'-gamma Transition Form Factors
• Weakly-induced strong CP-violation
• Large N Approach to Kaon Decays and Mixing 28 Years Later: Delta I = 1/2 Rule, \hat B_K and Delta M_K
• Search for the weak decay ${\eta }^{\prime }\to K^{\pm }{\pi }^{\mp }$ and precise measurement of the branching fraction $\mathcal{B}(J/\psi \to \varphi {\eta }^{\prime })$
• Pseudoscalar Meson Mixing in Effective Field Theory

Cited by in corpus (1)

• An overview of $\eta$ and ${\eta }^{\prime }$ decays at BESIII