X(3872) and Other Possible Heavy Molecular States

Abstract

We perform a systematic study of the possible molecular states composed of a pair of heavy mesons such as $D\bar{D}$, $D^{\ast }\bar{D}$, $D^{\ast }{\bar{D}}^{\ast }$ in the framework of the meson exchange model. The exchanged mesons include the pseudoscalar, scalar and vector mesons. Through our investigation, we find that (1) the structure X(3764) is not a molecular state; (2) There exists strong attraction in the range $r<1$ fm for the $D^{\ast }{\bar{D}}^{\ast }$ system with $J=0,1$. If future experiments confirm $Z^{+}(4051)$ as a loosely bound molecular state, its quantum number is probably $J^P=0^{+}$. Its partner state ${\Phi }^{\ast \ast 0}$ may be searched for in the ${\pi }^0{\chi }_{c1}$ channel; (3) The vector meson exchange provides strong attraction in the $D^{\ast }\bar{D}$ channel together with the pion exchange. A bound state solution exists with a reasonable cutoff parameter $\Lambda \sim 1.4$ GeV. X(3872) may be accommodated as a molecular state dynamically although drawing a very definite conclusion needs further investigation; (4) The $B^{\ast }\bar{B}$ molecular state exists.

21 pages, 17 tables, 11 figures. Typos corrected

References in corpus (4)

• Is X(3872) {\sl Really} a Molecular State?
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson

Cited by in corpus (4)

• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• The hidden charm decay of Y(4140) by the rescattering mechanism
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• The line shape of the radiative open-charm decay of Y(4140) and Y(3930)