Spectra and M1 Decay Widths of Heavy-Light Mesons

TL;DR

This paper calculates the spectra and M1 decay widths of heavy-light mesons using a covariant framework, highlighting the importance of relativistic effects and interaction currents related to scalar confinement.

Contribution

It introduces a covariant approach to compute spectra and decay widths of heavy-light mesons, emphasizing the role of interaction currents from scalar confinement.

Findings

M1 decay widths are sensitive to relativistic effects and interaction currents.

The model successfully reproduces spectra and decay widths of charmonium.

Interaction currents significantly influence M1 transition calculations.

Abstract

The M1 decay widths of charm and bottom mesons and their excited states are sensitive to the relativistic aspect of the quark current operators and obtain a significant contribution from the interaction current that is associated with the scalar confining interaction between heavy quarks ($Q$) and light antiquarks ($\bar q$). Consequently they provide direct evidence on the latter. The spectra and the M1 transition widths of the $D$, $D_s$ and $B$, $B_s$ mesons and their orbital excitations are calculated here within the framework of the Blankenbecler-Sugar equation, which allows a covariant treatment, while retaining a formal similarity to the nonrelativistic approach. The hyperfine interaction in the $Q\bar q$ mesons is modeled by screened gluon exchange, which shares many features with the instanton induced interaction. The quality of the model is tested by calculation of the spectra and M1 decay widths of charmonium.