Abstract
We investigate the heavy quark spin symmetry, i.e. the mass degeneracy of pseudo-scalar and vector quarkonia at heavy quark limit, by using the gauge/gravity correspondence. We allow generic D3-like geometry with a flavor D7-brane, to avoid supersymmetric mass degeneracy. For geometries admitting physical QCD-like properties, we find that the mass degeneracy is generically achieved in a good accuracy, up to a few percent mass splitting. We also compute spectra of excited quarkonia states, and discuss comparisons with experiments and quark-model calculations.
Highlights
Hadrons containing heavy quarks attract a great deal of interest in hadron and nuclear physics
We investigate the heavy quark spin symmetry, i.e. the mass degeneracy of pseudo-scalar and vector quarkonia at heavy quark limit, by using the gauge/gravity correspondence
For geometries admitting physical Quantum Chromodynamics (QCD)-like properties, we find that the mass degeneracy is generically achieved in a good accuracy, up to a few percent mass splitting
Summary
Hadrons containing heavy quarks attract a great deal of interest in hadron and nuclear physics. There are active researches of hadrons with charm and/or bottom quarks, while hadrons containing top quarks are not found because a top quark is easy to decay via the weak interaction. The various structures of heavy hadrons are generated by the natures of internal quark potentials and/or hadron-hadron interactions which result from fundamental phenomena of QCD. On the gravitational background geometry, we impose a symmetry of SO(1, 3) × SO(6), and adopt an ansatz for the UV (r ∃rIR) leading form as ds2str = r2αημν dxμdxν + R2r−2β dr r2 + r2δdΩ25 , eφ = g0 r−4γ ,. The 10d Einstein-frame metric is written as ds2Ein = e−φ/2ds2str = g0−1/2 r2αημν dxμdxν + R2r−2βdr r2 (2.3). We put a probe D7-brane on this background.
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