Two-body hadronic decay of $K^{+}$ in the presence of a circularly polarized laser field

TL;DR

This paper analytically investigates how a circularly polarized laser field influences the decay properties of the charged kaon, revealing that the hadronic decay mode becomes more prominent with increased laser intensity.

Contribution

It provides the first analytical derivation of laser-assisted decay widths and branching ratios for charged kaons in a circularly polarized laser field, comparing hadronic and leptonic decay modes.

Findings

Laser field increases the importance of the hadronic decay mode.

Decay width and branching ratio are affected by laser intensity.

Hadronic decay becomes more significant with stronger laser fields.

Abstract

In this study, we have investigated the two-body hadronic decay of the charged kaon, $ K^{+}\rightarrow\pi^{+}+\pi^{0} $, in the presence of a laser field with circular polarization. We have derived, by analytical techniques, the laser-assisted decay width and the branching ratio of the charged kaon decay via the two-body hadronic channel. We have also taken into consideration the impressive results obtained for the laser-assisted charged kaon decay via the leptonic mode in order to understand more clearly the effect of the laser field on the quantities related to the charged kaon decay such as the decay width, the branching ratio and lifetime. A precise comparison of the ratios of hadronic to muonic decay in the presence of the laser field is made to show that the hadronic mode becomes slightly more important by increasing the laser field intensity.