The reviewed record of science sign in
Pith

arxiv: 1106.0600 · v2 · pith:VHA3J2PJ · submitted 2011-06-03 · hep-ph · nucl-th

Deriving the existence of Bbar{B}^* bound states from the X(3872) and Heavy Quark Symmetry

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:VHA3J2PJrecord.jsonopen to challenge →

classification hep-ph nucl-th
keywords boundstatestatesheavyquarksymmetryassumptionsbinding
0
0 comments X
read the original abstract

We discuss the possibility and the description of bound states between $B$ and $\bar{B}^*$ mesons. We argue that the existence of such a bound state can be deduced from (i) the weakly bound X(3872) state, (ii) certain assumptions about the short range dynamics of the $D\bar{D}^*$ system and (iii) heavy quark symmetry. From these assumptions the binding energy of the possible $B\bar{B}^*$ bound states is determined, first in a theory containing only contact interactions which serves as a straightforward illustration of the method, and then the effects of including the one pion exchange potential are discussed. In this latter case three isoscalar states are predicted: a positive and negative C-parity $^3S_1-{}^3D_1$ state with a binding energy of $20\,{\rm MeV}$ and $6\,{\rm MeV}$ below threshold respectively, and a positive C-parity $^3P_0$ shallow state located almost at the $B\bar{B}^*$ threshold. However, large uncertainties are generated as a consequence of the $1/m_Q$ corrections from heavy quark symmetry. Finally, the newly discovered isovector $Z_b(10610)$ state can be easily accommodated within the present framework by a minor modification of the short range dynamics.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework

    hep-ph 2026-07 conditional novelty 4.0

    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.