Exploring electromagnetic characteristics of the vector and axial-vector $B_c$ mesons

TL;DR

This paper calculates the magnetic moments of vector and axial-vector $B_c$ mesons using QCD light-cone sum rules, providing insights into their structure and comparing results with other theories.

Contribution

It introduces a novel calculation of $B_c$ meson magnetic moments via QCD light-cone sum rules, highlighting discrepancies with existing predictions.

Findings

Magnetic moment of axial-vector $B_c$ meson: -0.47 ± 0.07 μ_N

Magnetic moment of vector $B_c$ meson: 0.15 ± 0.02 μ_N

Discrepancies observed between different theoretical models

Abstract

The magnetic moments of the $B_c$ mesons provide significant insights into their inner structure and geometric shape. Furthermore, a comprehensive understanding of the electromagnetic characteristics of $B_c$ mesons is essential for advancing our knowledge of confinement and heavy flavor effects. In light of this, we proceed to extract the magnetic moments of the ground-state vector and axial-vector $B_c$ mesons through the medium of the QCD light-cone sum rules. The magnetic moments of the axial-vector and vector $B_c$ mesons are found to be $\mu_{B_c}= -0.47 \pm 0.07~\mu_N$, and $\mu_{B_c}= 0.15 \pm 0.02~\mu_N$, respectively. A comparison of our results for the vector $B_c$ meson with other theoretical predictions has revealed discrepancies between the various predictions, which could prove useful as a complementary tool for interpreting the vector $B_c$ meson. The current experimental data set is limited to a small number of observed states of beauty-charm mesons. However, theoretical studies can play a valuable role in elucidating their nature and guiding future experimental investigations.