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arXiv · 2108.03482

Hadron spectroscopy using the light-front holographic Schr\"odinger equation and the 't Hooft equation

Mohammad Ahmady·Satvir Kaur·Sugee Lee MacKay·Chandan Mondal·Ruben Sandapen
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Abstract

Light-front holographic QCD provides a successful first approximation to hadron spectroscopy in the chiral limit of $(3+1)$-dim light-front QCD, where a holographic Schr\"odinger-like equation, with an emerging confining scale, $\kappa$, governs confinement in the transverse direction. In its supersymmetric formulation, light-front holography predicts that each baryon has two superpartners: a meson and a tetraquark, with their degenerate masses being generated by the same scale, $\kappa$. In nature, this mass degeneracy is lifted by chiral symmetry breaking and longitudinal confinement. In this paper, we show that the latter can be successfully captured by the 't Hooft equation of $(1+1)$-dim, large $N_c$, QCD. Together, the holographic Schr\"odinger equation and the 't Hooft equation, provide a good global description of the data across the full hadron spectrum with a universal $\kappa$.

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Mohammad Ahmady, Satvir Kaur, Sugee Lee MacKay, Chandan Mondal, Ruben Sandapen. 2021-08-07. Hadron spectroscopy using the light-front holographic Schr\"odinger equation and the 't Hooft equation. https://doi.org/10.1103/physrevd.104.074013

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