${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States

Abstract

The proximity of ${\mathrm{Z}}^{+}(4430)$ to the ${\mathrm{D}}^{\ast }{\bar{\mathrm{D}}}_1$ threshold suggests that it may be a ${\mathrm{D}}^{\ast }{\bar{\mathrm{D}}}_1$ molecular state. The ${\mathrm{D}}^{\ast }{\bar{\mathrm{D}}}_1$ system has been studied dynamically from quark model, and state mixing effect is taken into account by solving the multichannel Schr$\ddot{\mathrm{o}}$dinger equation numerically. We suggest the most favorable quantum number is ${\mathrm{J}}^{\mathrm{P}}=0^{-}$, if future experiments confirm ${\mathrm{Z}}^{+}(4430)$ as a loosely bound molecule state. More precise measurements of ${\mathrm{Z}}^{+}(4430)$ mass and width, partial wave analysis are helpful to understand its structure. The analogous heavy flavor mesons ${\mathrm{Z}}_{bb}^{+}$ and ${\mathrm{Z}}_{bc}^{++}$ are studied as well, and the masses predicted in our model are in agreement with the predictions from potential model and QCD sum rule. We further apply our model to the $\mathrm{D}{\bar{\mathrm{D}}}^{\ast }$ and $\mathrm{D}{\mathrm{D}}^{\ast }$ system. We find the exotic $\mathrm{D}{\mathrm{D}}^{\ast }$ bound molecule doesn't exist, while the $1^{++}$ $\mathrm{D}{\bar{\mathrm{D}}}^{\ast }$ bound state solution can be found only if the screening mass $\mu$ is smaller than 0.17 GeV. The state mixing effect between the molecular state and the conventional charmonium should be considered to understand the nature of X(3872).

arXiv comment27 pages, 6 figures

References in corpus (39)

• 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
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• The New Heavy Mesons: A Status Report
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Short Range Structure in the X(3872)
• Quasi-Two-Body Decays of Nonstrange Baryons
• On the Mechanism of Open-Flavor Strong Decays
• The D*0 D0bar threshold resonance
• Casimir scaling of SU(3) static potentials
• The X(3872) boson: Molecule or charmonium
• Molecular States of Heavy Quark Mesons
• Analysis of the Quantum Numbers $J^{PC}$ of the X(3872) Particle
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Is Z^+(4430) a loosely bound molecular state?
• Heavy Quarkonium Dissociation Cross Sections in Relativistic Heavy-Ion Collisions
• How Resonances can synchronise with Thresholds
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Canonical Charmonium Interpretation for Y(4360) and Y(4660)
• QCD sum rules study of the meson Z^+(4430)
• Search for tetraquark candidate Z(4430) in meson photoproduction
• Threshold effect and π^\pm ψ(2S) peak
• A Uniform Description of the States Recently Observed at B-factories
• BB Intermeson Potentials in the Quark Model
• Partners of Z(4430) and Productions in B Decays
• Bottomed Analog of Z+(4433)
• Nucleon-antinucleon Interaction from the Modified Skyrme Model
• Review of Heavy Hadron Spectroscopy
• The Soft Gluon Emission Process in the Color-Octet Model for Heavy Quarkonium Production
• Skyrmions and the Nuclear Force
• The two-body open charm decays of $Z^{+}(4430)$
• Total Hadron-Hadron Cross Sections at High Energies
• Latest results on b-hadron spectroscopy from CDF

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• Observation and investigation of the $T_{c\bar{c}1}(4430{)}^{+}$ structure in $B^{+}\to \psi (2S)K_{\text{S}}^0{\pi }^{+}$ decays