Magnetic dipole moments of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4020</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4200</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4000</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4220</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:math> states in light-cone QCD
U. Özdem, Ayşe Karadeniz Yıldırım
Abstract
The magnetic dipole moments of the ${Z}_{c}(4020{)}^{+}$, ${Z}_{c}(4200{)}^{+}$, ${Z}_{cs}(4000{)}^{+}$ and ${Z}_{cs}(4220{)}^{+}$ states are extracted in the framework of the light-cone QCD sum rules. In the calculations, we use the hadronic molecular form of interpolating currents and photon distribution amplitudes to get the magnetic dipole moments of the ${Z}_{c}(4020{)}^{+}$, ${Z}_{c}(4200{)}^{+}$, ${Z}_{cs}(4000{)}^{+}$ and ${Z}_{cs}(4220{)}^{+}$ tetraquark states. The magnetic dipole moments are obtained as ${\ensuremath{\mu}}_{{Z}_{c}}=0.6{6}_{\ensuremath{-}0.25}^{+0.27}$, ${\ensuremath{\mu}}_{{Z}_{c}^{1}}=1.0{3}_{\ensuremath{-}0.29}^{+0.32}$, ${\ensuremath{\mu}}_{{Z}_{cs}}=0.7{3}_{\ensuremath{-}0.26}^{+0.28}$ and ${\ensuremath{\mu}}_{{Z}_{cs}^{1}}=0.7{7}_{\ensuremath{-}0.25}^{+0.27}$ for the ${Z}_{c}(4020{)}^{+}$, ${Z}_{c}(4200{)}^{+}$, ${Z}_{cs}(4000{)}^{+}$ and ${Z}_{cs}(4220{)}^{+}$ states, respectively. We observe that the results obtained for the ${Z}_{c}(4020{)}^{+}$, ${Z}_{c}(4200{)}^{+}$, ${Z}_{cs}(4000{)}^{+}$ and ${Z}_{cs}(4220{)}^{+}$ states are large enough to be measured experimentally. As a by product, we predict the magnetic dipole moments of the neutral ${Z}_{cs}(4000)$ and ${Z}_{cs}(4220)$ states. The results presented here can serve to be helpful knowledge in experimental as well as theoretical studies of the properties of hidden-charm tetraquark states with and without strangeness.