Analysis of the state based on electromagnetic properties

Ulaş Özdem

doi:10.1140/epjc/s10052-024-12408-2

EPJ

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 45
https://doi.org/10.1140/epjc/s10052-024-12408-2

Regular Article - Theoretical Physics

Analysis of the $Z_{b} (10650)$ state based on electromagnetic properties

Ulaş Özdem^a

Health Services Vocational School of Higher Education, Istanbul Aydin University, Sefakoy-Kucukcekmece, 34295, Istanbul, Türkiye

^a ulasozdem@aydin.edu.tr

Received: 22 November 2023
Accepted: 5 January 2024
Published online: 17 January 2024

Abstract

In this study, the magnetic and quadrupole moments of the $Z_{b} (10650)$ $$Z_b(10650)$$ state are determined using the compact diquark–antidiquark interpolating current through the QCD light-cone sum rule. The values that are obtained as a result of the analysis are as follows: $μ_{Z_{b}} = 2 . 35_{- 0.33}^{+ 0.34} μ_{N}$ $\mu _{Z_b} = 2.35^{+0.34}_{-0.33}~\mu _N$ and $D_{Z_{b}} = (1 . 82_{- 0.31}^{+ 0.35}) \times 10^{- 2} {fm}^{2}$ $\mathcal {D}_{Z_b} =(1.82^{+0.35}_{-0.31})\times 10^{-2}~\text{ fm}^2$ . Examining the results obtained, it can be seen that the magnetic moments are large enough to be measured experimentally, while the quadrupole moment is obtained as a small but non-zero value, corresponding to a prolate charge distribution. The magnetic moment is the leading-order response of a bound system to a weak external magnetic field. It therefore provides an excellent platform to probe the internal structures of hadrons governed by the quark-gluon dynamics of QCD.

© The Author(s) 2024

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