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Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules
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abstract
We extend the one pion exchange model at quark level to include the short distance contributions coming from $\eta$, $\sigma$, $\rho$ and $\omega$ exchange. This formalism is applied to discuss the possible molecular states of $D\bar{D}^{*}/\bar{D}D^{*}$, $B\bar{B}^{*}/\bar{B}B^{*}$, $DD^{*}$, $BB^{*}$, the pseudoscalar-vector systems with $C=B=1$ and $C=-B=1$ respectively. The "$\delta$ function" term contribution and the S-D mixing effects have been taken into account. We find the conclusions reached after including the heavier mesons exchange are qualitatively the same as those in the one pion exchange model. The previous suggestion that $1^{++}$ $B\bar{B}^{*}/\bar{B}B^{*}$ molecule should exist, is confirmed in the one boson exchange model, whereas $DD^{*}$ bound state should not exist. The $D\bar{D}^{*}/\bar{D}D^{*}$ system can accomodate a $1^{++}$ molecule close to the threshold, the mixing between the molecule and the conventional charmonium has to be considered to identify this state with X(3872). For the $BB^{*}$ system, the pseudoscalar-vector systems with $C=B=1$ and $C=-B=1$, near threshold molecular states may exist. These bound states should be rather narrow, isospin is violated and the I=0 component is dominant. Experimental search channels for these states are suggested.
Forward citations
Cited by 5 Pith papers
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Prediction of $QQqq\bar{s}$ molecular pentaquarks within the extended local hidden gauge approach
A model calculation predicts fourteen double-heavy molecular pentaquark states, but their existence and binding energies depend critically on an unconstrained regularization parameter.
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Constraining the $DDD^*$ three-body bound state via the $Z_c(3900)$ pole
A model-dependent study showing that the existence of a DDD* bound state is tied to the virtual-state pole position of Zc(3900), with binding occurring only for near-threshold Zc poles.
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Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
X(3872) is best described as a shallow D D* molecule in which one-pion exchange and a small charmonium core provide comparable attraction.
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Possible Bound States in the $D^\ast\bar D^\ast$/$B^\ast\bar B^\ast$ and $D^\ast D^\ast$/$\bar B^\ast\bar B^\ast$ Systems within the Bethe-Salpeter Formalism
Using one-boson-exchange Bethe-Salpeter equations, the authors find possible S-wave bound states in isoscalar D*Dbar*/B*Bbar* and in the 0(1+) and 1(2+) doubly heavy systems, with the isovector hidden-heavy channels u...
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Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework
Using nonrelativistic effective field theory, the X(3872) is treated as a D*D molecule to predict radiative decay widths to D D gamma, finding a strong neutral-over-charged hierarchy and quantifying D D rescattering effects.
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