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Physical Review D

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Hybrid baryons in QCD

Jozef J. Dudek^1,2,* and Robert G. Edwards^1,†

¹Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
²Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA

^*dudek@jlab.org
^†edwards@jlab.org

Phys. Rev. D 85, 054016 – Published 21 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.054016

Abstract

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 $J^{P} = 1^{+}$ 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.

Article Text

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