$D\Xi$ and $D^{\ast }\Xi$ Molecular States from One Boson Exchange

Abstract

We explore the existence of $D\Xi$ and $D^{\ast }\Xi$ molecular states within the one boson exchange model. We regularize the potential derived in this model with a form factor and a cut-off of the order of $1\mathrm{GeV}$. To determine the cut-off, we use the condition that the $X(3872)$ is reproduced as a pole in the $J^{PC}=1^{++}$ $D^{\ast }\bar{D}$ amplitude. From this we find that the $J^P={\frac{1}{2}}^{-}$ $D^{\ast }\Xi$ system is on the verge of binding and has an unnaturally large scattering length. For the $J^P={\frac{1}{2}}^{-}$ $D\Xi$ and the $J^P={\frac{3}{2}}^{-}$ $D^{\ast }\Xi$ systems the attraction is not enough to form a bound state. From heavy quark symmetry and the quark model we can extend the previous model to the $P{\Xi }_{QQ}$ and $P^{\ast }{\Xi }_{QQ}$ systems, with $P=D,\bar{B}$, $P^{\ast }=D^{\ast },{\bar{B}}^{\ast }$ and ${\Xi }_{QQ}={\Xi }_{cc},{\Xi }_{bb}$. In this case we predict a series of triply heavy pentaquark-like molecules.

11 pages, 3 figures, corresponds to published version

References in corpus (21)

• Chiral effective field theory and nuclear forces
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• X(3872) and Other Possible Heavy Molecular States
• Is X(3872) {\sl Really} a Molecular State?
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Isospin breaking effects in the X(3872) resonance
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Observation of Excited ${\Omega }_c$ Charmed Baryons in $e^{+}{e}^{-}$ Collisions
• What can radiative decays of the X(3872) teach us about its nature?
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• Molecular ${\Omega }_c$ states generated from coupled meson-baryon channels
• Bottom baryons from a dynamical lattice QCD simulation
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• A meson-baryon molecular interpretation for some ${\Omega }_c$ excited baryons
• Searching for possible ${\Omega }_c-$like molecular states from ${\Xi }_c^{\ast }\bar{K}/{\Xi }_c{\bar{K}}^{\ast }/{\Xi }_c^{\prime }{\bar{K}}^{\ast }$ interaction
• Historical perspective and future prospects for nuclear interactions
• Strong and radiative decays of DΞmolecular state and newly observed ${\Omega }_c$ states
• Molecular ${\Omega }_b$ states
• ${\Omega }_c$ excited states within a ${\mathrm{SU}(6)}_{\mathrm{lsf}}\times$HQSS model
• Possible open-charmed pentaquark molecule ${\Omega }_c(3188)$ --- the $D\Xi$ bound state --- in the Bethe-Salpeter formalism

Cited by in corpus (22)

• An updated review of the new hadron states
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Description of the ${\Xi }_c$ and ${\Xi }_b$ states as molecular states
• Hidden-Bottom Pentaquarks
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spin-parities of the $P_c(4440)$ and $P_c(4457)$ in the One-Boson-Exchange Model
• Spectrum of the molecular pentaquarks
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Observed ${\Omega }_b$ spectrum and meson-baryon molecular states
• Triply charmed dibaryons in the one boson exchange model
• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
• Three-Body $J^P=0^{+},1^{+},2^{+}$ $B^{\ast }{B}^{\ast }\bar{K}$ Bound States
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Toward establishing the low-lying $P$-wave excited ${\Sigma }_c$ baryon states
• Strong decays of the low-lying $1P$- and $1D$-wave ${\Sigma }_c$ baryons
• Interaction and Identification of the Meson-Baryon molecules
• Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states