Electroweak hadron structure in point-form dynamics -- heavy-light systems

TL;DR

This paper develops a formalism using point-form relativistic dynamics to analyze the electroweak structure of heavy-light mesons, confirming heavy quark symmetry and deriving the Isgur-Wise function.

Contribution

It introduces a novel point-form approach for heavy-light meson structure within constituent quark models, including analytic expressions for key functions.

Findings

Heavy quark symmetry predictions are satisfied.

Analytic expressions for the Isgur-Wise function are provided.

Discussion of cluster properties and relation to front form methods.

Abstract

We present a general formalism that uses the point form of relativistic Hamiltonian dynamics to describe the electroweak structure of heavy-light mesons within constituent quark models. We study the heavy quark limit (i.e. $m_Q\to \infty$) and check that the predictions of heavy quark symmetry are satisfied. A simple analytic expressions is given for the Isgur-Wise function. In addition, cluster properties and the relation of our approach to front form calculations are discussed.