Exact Heavy To Light Meson Form Factors In The Chiral Limit Of Planar 1+1 QCD

TL;DR

This paper calculates exact form factors for flavor-changing vector currents between heavy-light and light mesons in a simplified 1+1 dimensional QCD model, providing explicit analytical results in the chiral limit.

Contribution

It provides the first exact analytical computation of these form factors in the 't Hooft model for massless light quarks, advancing understanding of meson interactions in planar QCD.

Findings

Exact form factors derived in the chiral limit.

Explicit analytical expressions obtained for meson transitions.

Results enhance theoretical understanding of meson structure in 1+1 QCD.

Abstract

The form factors of the flavor changing vector current between a $\bar q Q$-meson and the lightest $\bar q q$ (pseudoscalar-)meson are computed exactly and explicitly in the 't~Hooft model (planar QCD in $1+1$ dimensions) in the limit that the mass of $q$-quark vanishes.