Light-cone sum rules study on the purely non-factorizable $\Lambda_{c}^{+}\to\Xi^{0}K^{+}$ decay

TL;DR

This paper uses light-cone sum rules to analyze the non-factorizable decay of Lambda_c+ to Xi0 and K+, calculating decay amplitudes and comparing P-wave and S-wave contributions, aligning with experimental data.

Contribution

It provides a detailed calculation of decay amplitudes considering both W-exchange and W-inward diagrams using kaon LCDAs, offering new insights into non-factorizable decay mechanisms.

Findings

P-wave amplitude matches literature predictions

S-wave amplitude is significantly smaller

Results explain small spin asymmetry observed experimentally

Abstract

We investigate the purely non-factorizable $\Lambda_{c}^{+}\to\Xi^{0}K^{+}$ decay using light-cone sum rules. To extract the decay amplitudes, a three-point correlation function is defined and calculated at hadron and quark-gluon level, respectively. Both the W-exchange and the W-inward emission diagrams are considered in the quark-gluon level calculation, where the two-particle light-cone distribution amplitudes (LCDAs) of kaon are used as non-perturbative input. We obtain the decay amplitudes contributed from the twist-2 and twist-3 kaon LCDAs, respectively. The obtained P-wave amplitude is consistent with those predicted in the literature, while the S-wave one is much smaller. This significant difference between the S- and P- wave amplitudes leads to small up-down spin asymmetry, closing to the experimental measurement.