On the scattering of D and D* mesons off the X(3872)

Abstract

Both the mass (just below the D^{*0}Dbar^0 threshold) and the likely quantum numbers (J^{PC}=1^{++}) of the X(3872) suggest that it is either a weakly-bound hadronic ``molecule'' or a virtual state of charmed mesons. Assuming the X(3872) is a weakly-bound molecule, the scattering of neutral D and D* mesons off the X(3872) can be predicted from the X(3872) binding energy. We calculate the phase shifts and cross section for scattering of D^0 and D^{*0} mesons and their antiparticles off the X(3872) in an effective field theory for short-range interactions. This provides another example of a three-body process, along with those in nuclear and atomic systems, that displays universal properties. It may be possible to extract the scattering within the final state interactions of B_c decays and/or other LHC events.

12 pages, 5 figures, revtex4

References in corpus (12)

• Charmonium
• The Exotic XYZ Charmonium-like Mesons
• Quarkonia and their transitions
• Pion Interactions in the X(3872)
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Line Shapes of the X(3872)
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• Isospin properties of the X state near the D {\bar D}^{*} threshold
• Operator Product Expansion in the Production and Decay of the X(3872)
• An Estimate of the Partial Width for X(3872) into p p-bar
• Recent CLEO-c Results

Cited by in corpus (15)

• Heavy quarkonium: progress, puzzles, and opportunities
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Galilean-Invariant XEFT
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Galilean-Invariant XEFT at Next-to-Leading Order
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Interpretation of neutral charm mesons near threshold as unparticles
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle
• Triple-X and beyond: hadronic systems of three and more X(3872)
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)