Spin Partners of the $B^{(\ast )}{\bar{B}}^{(\ast )}$ resonances with a different approach than the Breit-Wigner parameterization

Abstract

In general, resonances are obtained by the Breit-Wigner parameterization. However, it is not entirely appropriate to use this parameterization with near-threshold resonances such as the $Z_b(10610)$ and the $Z_b(10650)$, as Breit-Wigner does not contain the threshold effect. To eliminate this defect, a recently proposed alternative distribution, the Sill, is used to predict possible heavy quark spin symmetry partners of the $Z_b(10610)$ and the $Z_b(10650)$. With the Sill values of the $Z_b(10650)$ and the $Z_b(10610)$ states, assuming these exotics generate molecular states consisting of contact and a pion exchange potential, heavy quark spin symmetry partners are examined with $S$ and $D$-wave contributions. In the light of the Sill type resonance approach, all the partners are found as bound states.

8 pages, 3 tables, Accepted for publication in EPJ A

References in corpus (39)

• Heavy Quark Symmetry
• Hadronic molecules
• Phenomenology of Heavy Meson Chiral Lagrangians
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Chiral Multiplets of Heavy-Light Mesons
• Heavy quark spin structure in Z_b resonances
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Born-Oppenheimer Approximation for the XYZ Mesons
• X(3872): Hadronic Molecules in Effective Field Theory
• $Z_b(10610{)}^{\pm }$ and $Z_b(10650{)}^{\pm }$ as the $B^{\ast }\bar{B}$ and $B^{\ast }{\bar{B}}^{\ast }$ molecular states
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Bound state nature of the exotic Z_b states
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• An explanation of Belle states Z_b(10610) and Z_b(10650)
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• A study of B->X(3872) K, with X(3872)->J/Psi pi+ pi-
• Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules
• Tetraquark Interpretation of the Charged Bottomonium-like states Z_b^+-(10610) and Z_b^+-(10650) and Implications
• Confirming the molecular nature of the $Z_b(10610)$ and the $Z_b(10650)$
• Could $Z_b(10610)$ be a $B^{\ast }\bar{B}$ molecular state?
• Different pole structures in line shapes of the $X(3872)$
• Deriving the existence of $B{\bar{B}}^{\ast }$ bound states from the X(3872) and Heavy Quark Symmetry
• Exotic mesons with hidden bottom near thresholds
• On the renormalization of the one-pion exchange potential and the consistency of Weinberg's power counting
• BB Potentials in Quenched Lattice QCD
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• g(B*Bpi)-coupling in the static heavy quark limit
• Possible interpretation of the $Z_b$(10610) and $Z_b$(10650) in a chiral quark model
• General considerations on the nature of $Z_b(10610)$ and $Z_b(10650)$ from their pole positions
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Strong D* -> D+pi and B* -> B+pi couplings
• Investigating different structures of the Z_{b}(10610) and Z_{b}(10650)
• Lattice measurement of the couplings g_infinity and g_Bstar_B_pi
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Spin partners of the $Z_b(10610)$ and $Z_b(10650)$ revisited
• Corrections to Chiral Dynamics of Heavy Hadrons: (I) 1/M Correction
• A simple alternative to the Breit-Wigner distribution
• Observation of two charged bottomonium-like resonances
• Systematic Study of Hadronic Molecules in the Heavy-Quark Sector