Abstract
We try to introduce heavy flavors to Sakai-Sugimoto model by regarding higher dimensional components of gauge fields as heavy mesons. Using the Forg\'acs and Manton approach, we obtain a theory composed of heavy mesons and the instanton of light flavors. Applying the collective coordinate quantization method, we derived a mass formula of heavy baryons. In the leading order of $1/m_{H}$ expansion ($m_{H}$ the mass of a heavy quark), we find singlet and doublet states in the heavy quark symmetry (HQS). Also, we obtain the degenerate Roper like and odd parity excitations. By virtue of heavy meson degrees of freedom, our mass formula reproduces the mass ordering of $\Sigma^*_c$ and $\Lambda_c^*$ correctly.
Highlights
In the past decades, hadron physics has experienced many new findings of exotic phenomena mostly containing charm and bottom quarks that are not explained by conventional approaches, which is telling that we need new ideas [1,2], and references there in [3,4,5,6]
As observed in the previous works [12], the mass formula (54) indicates the degeneracy between them which agrees well with experimental data for the light flavor sector, the feature that is difficult to be explained by a naive quark model
Possible candidates are Λcð2765Þ and Λbð6072Þ, while their spin and parity are to be determined. (ii) If we expand the mass formula (54) by 1=Nc, the mass splitting of Λc and Σc is proportional to 1=Nc. This splitting is related to the spin-spin interaction, and the Nc dependency is consistent to that of the 1=Nc expansion scheme. (iii) Because we have included only the leading terms of 1=mH expansion, we have obtained the heavy quark symmetry (HQS) singlet Λc;bð012þÞ and the degenerate doublet Σc;bð112þ; 132þÞ
Summary
Hadron physics has experienced many new findings of exotic phenomena mostly containing charm and bottom (heavy) quarks that are not explained by conventional approaches, which is telling that we need new ideas [1,2], and references there in [3,4,5,6]. Due to the nonperturbative nature of the strong interaction dynamics, there still remains the problem of a missing link from quarks to hadrons. Holographic view of QCD has attracted much attention as one of guiding principle to fill that link. The Sakai-Sugimoto model is a nine-dimensional gauge theory of flavor SU(2) on the D8-brane in the D4-brane background. The gauge fields are denoted as AaM where a 1⁄4 1; ...; 8 are for the flavor index and M 1⁄4 0; ...; 3; z; 6; ...; 9 for gauge field components. In comparison with actual QCD, Sakai and Sugimoto have utilized five components, AaM1⁄40;...;3;z, while the other four were
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