Light-cone Distribution Amplitudes of Xi and their Applications

TL;DR

This paper derives the light-cone distribution amplitudes of Xi baryons up to twist six using QCD conformal partial wave expansion, and applies them to calculate electromagnetic form factors and decay properties.

Contribution

It provides the first comprehensive calculation of Xi baryon distribution amplitudes up to twist six and applies QCD sum rules for nonperturbative parameter determination.

Findings

Magnetic moments of Xi baryons estimated with uncertainties.

Decay width of Xi_c to Xi e+ nu_e calculated, matching experimental data.

Distribution amplitudes derived up to twist six for the first time.

Abstract

We present the light-cone distribution amplitudes of the Xi baryons up to twist six on the basis of QCD conformal partial wave expansion to the leading order conformal spin accuracy. The nonperturbative parameters relevant to the DAs are determined in the framework of the QCD sum rule. The light-cone QCD sum rule approach is used to investigate both the electromagnetic form factors of Xi and the exclusive semileptonic decay of Xi_c as applications. Our estimations on the magnetic moments are $\mu_{\Xi^0}=-(1.92\pm0.34)\mu_N$ and $\mu_{\Xi^-}=-(1.19\pm0.03)\mu_N$. The decay width of the process Xi_c->Xi e^+\nu_e is evaluated to be $\Gamma=8.73\times10^{-14}{GeV}$, which is in accordance with the experimental measurements and other theoretical approaches.