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Relativistic light-front bound-state equations for mesons and baryons can be constructed in the chiral limit from the supercharges of a superconformal algebra which connect baryon and meson spectra.
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For n n partons the invariant LF variable ζ \zeta is the u u -weighted definition of the transverse impact variable of the n − 1 n-1 spectator system [ 11 ] : ζ = u 1 − u | ∑ j = 1 n − 1 u j 𝐛 ⟂ j | \zeta=\sqrt{\frac{u}{1-u}}\big|\sum_{j=1}^{n-1}u_{j}\mathbf{b}_{\perp j}\big| , where u j u_{j} and u u are the longitudinal momentum fractions of quark j j in the cluster and of the active quark, respectively. For a two-parton bound state ζ = u ( 1 − u ) | 𝐛 ⟂ | \zeta=\sqrt{u(1-u)}|\mathbf{b}_{\perp}| . For a baryon, the LF cluster decomposition corresponds to a quark diquark-cluster decomposition. In LF holographic QCD the variable ζ \zeta is identified with the bulk variable z z [ 10 , 17 ]
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In fact, the lower component is identified with the leading twist (positive chirality) component of the nucleon wavefunction [ 9 ]
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2015
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R. Mussa, Hadron spectroscopy at the e + e − e^{+}e^{-} colliders/B factories, Presented at the 7 th
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