$D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states

Abstract

The $D{D}^{\ast }$ potentials are studied within the framework of heavy meson chiral effective field theory. We obtain the effective potentials of the $D{D}^{\ast }$ system up to $O({\epsilon }^2)$ at the one-loop level. In addition to the one-pion exchange contribution, the contact and two-pion exchange interactions are also investigated in detail. Furthermore, we search for the possible molecular states by solving the Schrödinger equation with the potentials. We notice that the contact and two-pion exchange potentials are numerically non-negligible and important for the existence of a bound state. In our results, no bound state is found in the $I=1$ channel within a wide range of cutoff parameter, while there exists a bound state in the $I=0$ channel as the cutoff is near $m_{\rho }$ in our approach.

18 pages, 12 figures. Published in Phys. Rev. D. We correct three typos in which $I=1$ and $I=0$ were mistaken for each other

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• Hadronic molecules
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• Galilean-Invariant XEFT
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• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
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• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
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• Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Double-charm tetraquark under the complex scaling method
• Doubly charmed molecular pentaquarks
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
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• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
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• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
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• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
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• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
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• Doubly heavy tetraquarks: heavy quark bindings and chromomagnetically mixings
• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings
• Chiral Lagrangians for mesons with a single heavy quark
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• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Double-charm and hidden-charm hexaquark states under the complex scaling method
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Two-pion exchange for coupled-channel scattering of two heavy mesons
• Production of doubly charmed hadron ${\Xi }_{cc}^{++}$ and $T_{cc}^{+}$ in relativistic heavy ion collisions
• Mixing angles between the tetraquark states with two heavy quarks within QCD sum rules
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
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• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
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