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Study of the $B\bar{B}^*/D\bar{D}^*$ bound states in a Bethe-Salpeter approach
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abstract
In this work the $B\bar{B}^*/D\bar{D}^*$ system is studied in the Bethe-Salpeter approach with quasipotential approximation. In our calculation both direct and cross diagrams are included in the one-boson-exchange potential. The numerical results indicate the existence of a isoscalar bound state $D\bar{D}^*$ with $J^{PC}=1^{++}$, which may be related to the $X(3872)$. In the isovector sector, no bound state is produced from the interactions of $D\bar{D}^*$ and $B\bar{B}^*$, which suggests the molecular state explanations for $Z_b(10610)$ and $Z_c(3900)$ are excluded.
Forward citations
Cited by 3 Pith papers
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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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