Production of <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> exotic state in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>γ</mml:mi><mml:mi>p</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></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:msubsup><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> reaction
Yin Huang, Hongqiang Zhu, Li‐Sheng Geng, Rong Wang
Abstract
Stimulated by the recent LHCb observation of a new exotic charged structure ${T}_{cc}^{+}$, we propose to use the central diffractive mechanism existing in the $\ensuremath{\gamma}p\ensuremath{\rightarrow}{D}^{+}{\overline{T}}_{cc}^{\ensuremath{-}}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}$ (${\overline{T}}_{cc}^{\ensuremath{-}}$ is the antiparticle of ${T}_{cc}^{+}$) reaction to produce ${T}_{cc}^{+}$. Our theoretical approach is based on the chiral unitary theory where the ${T}_{cc}^{+}$ resonance is dynamically generated. With the coupling constant of the ${T}_{cc}^{+}$ to $D{D}^{*}$ channel obtained from chiral unitary theory, the total cross sections of the $\ensuremath{\gamma}p\ensuremath{\rightarrow}{D}^{+}{\overline{T}}_{cc}^{\ensuremath{-}}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}$ reaction are evaluated. Our study indicates that the cross section for $\ensuremath{\gamma}p\ensuremath{\rightarrow}{D}^{+}{\overline{T}}_{cc}^{\ensuremath{-}}{\mathrm{\ensuremath{\Lambda}}}_{c}^{+}$ reaction is on the order of 1.0 pb, which is accessible at the proposed the Electron-Ion Collider in China [Front. Phys. (Beijing) 16, 64701 (2021)] or the U.S. [Eur. Phys. J. A 52, 268 (2016)] due to the higher luminosity. If measured and confirmed in the future experiments, the predicted total cross sections can be used to verify the (molecular) nature of the ${T}_{cc}^{+}$.