Abstract
We apply the diabatic approach, specially suited for a QCD based study of conventional (quark-antiquark) and unconventional (quark-antiquark + meson-meson) meson states, to the description of hidden-bottom mesons. A spectral analysis of the $I=0$, $J^{++}$ and $1^{--}$ resonances with masses up to about $10.8$ GeV is carried out. Masses and widths of all the experimentally known resonances, including conventional and unconventional states, can be well reproduced. In particular, we predict a significant $B\bar{B}^{\ast}$ component in $\Upsilon(10580)$. We also predict the existence of a not yet discovered unconventional $1^{++}$ narrow state, with a significant $B_{s}\bar{B}_{s}^{\ast}$ content making it to decay into $\Upsilon(1S)\phi$, whose experimental discovery would provide definite support to our theoretical analysis.
Highlights
The unified description of conventional and unconventional heavy-quark mesons from QCD, the strong interaction theory, is a current theoretical challenge in hadron physics
We predict the existence of a not yet discovered unconventional 1ĂŸĂŸ narrow state, with a significant BsB Ăs content making it to decay into ΄ð1SĂÏ, whose experimental discovery would provide definite support to our theoretical analysis
A nice feature of the lattice, concerning phenomenology, is that it provides a straightforward way to compute complete heavy-quark meson potentials from QCD: the static light field energies evaluated in lattice are related to static potentials
Summary
The unified description of conventional and unconventional heavy-quark mesons from QCD, the strong interaction theory, is a current theoretical challenge in hadron physics. Despite the dearth of lattice data, and the technical approximations followed for tackling the diabatic equations, the results obtained (masses and widths) are encouraging This supports the diabatic approach in QCD as an appropriate framework for a unified and complete nonperturbative description of conventional and unconventional heavy-quark mesons. The main differences with respect to [18,19] are (i) the consideration of all possible bbchannels and all meson-meson threshold masses contributing, (ii) the mixing potential which in our case does not contain any short range (light quark meson exchange) contribution, in line with the use of constant mesonmeson potentials, and (iii) the use of a bound-state based approximation instead of a S-matrix approach to the spectral solutions.
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