Decay widths of the spin-2 partners of the X(3872)

Apr 3, 2015
40 pages
Published in:
  • Eur.Phys.J.C 75 (2015) 11, 547
  • Published: Nov 24, 2015
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Abstract: (Springer)
We consider the X(3872) resonance as a JPC=1++J^\mathrm{{PC}}=1^{++} DDˉD\bar{D}^* hadronic molecule. According to heavy quark spin symmetry, there will exist a partner with quantum numbers 2++2^{++} , X2X_{2} , which would be a DDˉD^*\bar{D}^* loosely bound state. The X2X_{2} is expected to decay dominantly into DDˉD\bar{D} , DDˉD\bar{D}^* and DˉD\bar{D} D^* in d-wave. In this work, we calculate the decay widths of the X2X_{2} resonance into the above channels, as well as those of its bottom partner, Xb2X_{b2} , the mass of which comes from assuming heavy flavor symmetry for the contact terms. We find partial widths of the X2X_{2} and Xb2X_{b2} of the order of a few MeV. Finally, we also study the radiative X2DDˉγX_2\rightarrow D\bar{D}^{*}\gamma and Xb2BˉBγX_{b2} \rightarrow \bar{B} B^{*}\gamma decays. These decay modes are more sensitive to the long-distance structure of the resonances and to the DDˉD\bar{D}^{*} or BBˉB\bar{B}^{*} final state interaction.
Note:
  • 46 pages, 11 figures
  • heavy quark: symmetry
  • heavy quark: spin
  • spin: symmetry
  • X(3872)
  • final-state interaction
  • branching ratio
  • quantum number
  • bound state
  • decay modes
  • structure