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Is the D_sJ(2632) Meson a Cryptoexotic Tetraquark Baryonium State?

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 Added by Basarab Nicolescu
 Publication date 2004
  fields
and research's language is English




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We suggest that the recently discovered charm-strange meson D_sJ(2632), with unusual properties, could be a cyptoexotic tetraquark baryonium state cdd_bars_bar. We predict other four narrow states, as Regge recurrences of D_sJ(2632), below the possible baryon-antibaryon thresholds.

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We test the validity of the QCD sum rules applied to the meson $Z^+(4430)$, by considering a diquark-antidiquark type of current with $J^{P}=0^{-}$ and with $J^{P}=1^{-}$. We find that, with the studied currents, it is possible to find an acceptable Borel window. In such a Borel window we have simultaneously a good OPE convergence and a pole contribution which is bigger than the continuum contribution. We get $m_Z=(4.52pm0.09)GeV$ and $m_Z=(4.84pm0.14)GeV$ for the currents with $J^{P}=0^{-}$ and $J^{P}=1^{-}$ respectively. We conclude that the QCD sum rules results favors $J^{P}=0^{-}$ quantum numbers for the $Z^+(4430)$ meson.
We consider possible assignments for the D$_{sJ}^+(2632)$, which was recently reported in D$_s^+eta$ and D$^0$K$^+$ final states by the SELEX Collaboration at Fermilab. The most plausible quark model assignment for this state is the first radial excitation ($2^3S_1$) of the $cbar s$ D$_s^*(2112)$, although the predicted mass and strong decay branching fractions for this assignment are not in agreement with the SELEX data. The reported dominance of D$_seta$ over DK appears especially problematic. An intriguing similarity to the K$^*(1414)$ is noted. $2^3S_1$--$^3D_1$ configuration mixing is also considered, and we find that this effect is unlikely to resolve the branching fraction discrepancy. Other interpretations as a $cbar s$-hybrid or a two-meson molecule are also considered, but appear unlikely. Thus, if this state is confirmed, it will require reconsideration of the systematics of charmed meson spectroscopy and strong decays.
We report the observation of a new $D_{sJ}$ meson produced in $B^{+} to bar{D}^{0} D_{sJ} to bar{D}^{0} D^{0} K^{+}$. This state has a mass of $M=2708 pm 9 ^{+11}_{-10} rm{MeV}/{it c}^{2}$, a width $Gamma = 108 pm 23 ^{+36}_{-31} ~rm{MeV}/ {it c}^{2}$ and a $1^{-}$ spin-parity. The results are based on an analysis of 449 million $Bbar{B}$ events collected at the $Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+} e^{-}$ collider.
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QCD Gaussian sum-rules are used to explore the vector ($J^{PC}=1^{--}$) strangeonium hybrid interpretation of the $Y(2175)$. Using a two-resonance model consisting of the $Y(2175)$ and an additional resonance, we find that the relative resonance strength of the $Y(2175)$ in the Gaussian sum-rules is less than 5% that of a heavier 2.9 GeV state. This small relative strength presents a challenge to a dominantly-hybrid interpretation of the $Y(2175)$.
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