We present the first comprehensive study of hybrid baryons using lattice QCD methods. Using a large basis of composite QCD interpolating fields, we extract an extensive spectrum of baryon states and isolate those of hybrid character using their relatively large overlap onto operators which sample gluonic excitations. We consider the spectrum of nucleon and delta states at several quark masses finding a set of positive-parity hybrid baryons with quantum numbers N_1/2⁺, N_1/2⁺, N_3/2⁺, N_3/2⁺, N_5/2⁺, and Δ_1/2⁺, Δ_3/2⁺ at an energy scale above the first band of ``conventional'' excited positive-parity baryons. This pattern of states is compatible with a color-octet gluonic excitation having JP=1⁺ as previously reported in the hybrid meson sector and with a comparable energy scale for the excitation, suggesting a common bound-state construction for hybrid mesons and baryons.
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Dudek et al. (2012) studied this question.
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