Magnetic dipole moments of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> tetraquark states
K. Azizi, U. Özdem
Abstract
Inspired by the observation of the doubly charmed state ${T}_{cc}$ and following theoretical studies on its spectroscopic parameters, we investigate its magnetic dipole moment, assigning it the quantum numbers ${J}^{P}={1}^{+}$, and both the compact diquark-antidiquark and molecular structures in the framework of the light cone QCD. We also calculate the magnetic dipole moment of the theoretically predicted singly charmed state, ${Z}_{V}^{++}$, with two units of electric charge and the quantum numbers ${J}^{P}={1}^{\ensuremath{-}}$ in diquark-antidiquark picture. The numerical results are obtained as ${\ensuremath{\mu}}_{{T}_{cc}^{+}\ensuremath{-}Di}={0.66}_{\ensuremath{-}0.23}^{+0.34}\text{ }\text{ }{\ensuremath{\mu}}_{N}$, ${\ensuremath{\mu}}_{{T}_{cc}^{+}\ensuremath{-}\mathrm{Mol}}={0.43}_{\ensuremath{-}0.22}^{+0.23}\text{ }\text{ }{\ensuremath{\mu}}_{N}$ and ${\ensuremath{\mu}}_{{Z}_{V}^{++}}={3.35}_{\ensuremath{-}0.73}^{+0.89}\text{ }\text{ }{\ensuremath{\mu}}_{N}$. These results may be checked via other phenomenological approaches. The obtained results may be useful in exact determinations of the natures of these states.