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 ${T}_{cc}^{+}$.
Highlights
Exotic hadrons [1] have been the focus of theoretical and experimental interest since they have an internal structure more complex than the simple qq configuration for mesons or qqq configuration for baryons in the traditional constituent quark models [2]
Our study indicates that the cross section for γp → DþT −ccΛþc reaction is on the order of 1.0 pb, which is accessible at the proposed the Electron-Ion Collider in China [Front
Considering the new structure Tþcc as a molecular state, its production in the γp → DþT −ccΛþc reaction is evaluated via the central diffractive mechanism and the contact term to ensure the gauge invariance
Summary
Exotic hadrons [1] have been the focus of theoretical and experimental interest since they have an internal structure more complex than the simple qq configuration for mesons or qqq configuration for baryons in the traditional constituent quark models [2]. [9,10], a doubly charmed compact tetraquark state above the DDÃ mass threshold was predicted by considering the heavy quark symmetry. The mass and current coupling of observed doubly charmed four-quark state þ cc is calculated in the QCD two-point sum rule method with the conclusion that the þ cc can be assigned as an axial-vector tetraquark [14]. It was not studied in too much detail in photon-hadron reactions either experimentally or theoretically This is because, at not too high energies, the hadrons in the final state contribute negligibly to central diffractive productions compared with other processes [25]. Is a new tool to reveal the nature of the Tþcc
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