$D{D}^{\ast }$ 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

References in corpus (97)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Chiral Dynamics in Nucleons and Nuclei
• A New Expansion for Nucleon-Nucleon Interactions
• The Two-Nucleon Potential from Chiral Lagrangians
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Chiral Multiplets of Heavy-Light Mesons
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• A review of the open charm and open bottom systems
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Aspects of chiral pion-nucleon physics
• X(3872) and Other Possible Heavy Molecular States
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Pion Interactions in the X(3872)
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Is X(3872) {\sl Really} a Molecular State?
• X(3872): Hadronic Molecules in Effective Field Theory
• $Z_b(10610{)}^{\pm }$ and $Z_b(10650{)}^{\pm }$ as the $B^{\ast }\bar{B}$ and $B^{\ast }{\bar{B}}^{\ast }$ molecular states
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Discovery Potentials of Doubly Charmed Baryons
• Interactions between heavy mesons and Goldstone bosons from chiral dynamics
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Nuclear Parity-Violation in Effective Field Theory
• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• BB interactions with static bottom quarks from Lattice QCD
• Resonance saturation for four-nucleon operators
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• X(3872) as a molecular DD* state in a potential model
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• Isospin breaking, coupled-channel effects, and X(3872)
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Exotic mesons with double charm and bottom flavor
• Short-range nuclear forces in singlet channels
• Three-body $D\bar{D}\pi$ dynamics for the X(3872)
• Charm couplings and form factors in QCD sum rules
• Search for the doubly charmed baryon Xi_cc^+
• Heavy-quark spin symmetry partners of the $X(3872)$ revisited
• On the coupling of heavy mesons to pions in QCD
• Vector and axial-vector couplings of D and D* mesons in 2+1 flavor Lattice QCD
• Leading order relativistic chiral nucleon-nucleon interaction
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• BB Potentials in Quenched Lattice QCD
• $D^{\ast }$ Radiative Decays and Strong Coupling of Heavy Mesons with Soft Pions in a QCD Relativistic Potential Model
• Theoretical estimate of the $D^{\ast }\to D\pi$ decay rate
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• Antinucleon-nucleon interaction in chiral effective field theory
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Magnetic moments of the doubly charmed and bottomed baryons
• Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• First lattice QCD estimate of the g_{D^* D pi} coupling
• A chiral covariant approach to $\rho \rho$ scattering
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• g-coupling (g_B*Bpi,g_D*Dpi); A quark model with Dirac equation
• $B^{\ast }B\pi (\gamma )$ couplings and $D^*\rar Dπ(γ) $-decays within a $1/M$-expansion in $full$ QCD
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Establishing low-lying doubly charmed baryons
• Strong D* -> D+pi and B* -> B+pi couplings
• Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory
• Galilean-Invariant XEFT
• The masses and axial currents of the doubly charmed baryons
• A Refined Analysis on the $X(3872)$ Resonance
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Finite volume corrections to the binding energy of the X(3872)
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Quark-level analogue of nuclear fusion with doubly-heavy baryons
• Study on $0^{+}$ states with open charm in unitarized heavy meson chiral approach
• Binding energy of the $X(3872)$ at unphysical pion masses
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Renormalization of $NN$ scattering: contact potential
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• Cutoff regulators in chiral nuclear effective field theory
• Possible $D^{(\ast )}{\bar{D}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states in the extended constituent quark models
• Subtraction of power counting breaking terms in chiral perturbation theory: spinless matter fields
• Hadronic states with both open charm and bottom in effective field theory

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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
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• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• ${\Sigma }_{c}N$ 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
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• Doubly heavy tetraquark bound and resonant states
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
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• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings
• Chiral Lagrangians for mesons with a single heavy quark
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario
• 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
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Interactions between two heavy mesons within heavy meson chiral effective field theory