Nucleon, $\Delta$ and $\Omega$ excited states in $N_f=2+1$ lattice QCD

Edwards, Robert G.; Engelson, Eric; Joo, Balint; Lin, Huey -Wen; Morningstar, Colin; Richards, David G.; Wallace, Stephen J.

doi:10.1103/PhysRevD.82.014507

Title: Nucleon, $$\Delta$$ and $$\Omega$$ excited states in $$N_f=2+1$$ lattice QCD

Journal Article · Thu Jul 22 00:00:00 EDT 2010 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI: https://doi.org/10.1103/PhysRevD.82.014507 · OSTI ID:985704

Edwards, Robert G. ^[1]; Engelson, Eric ^[2]; Joo, Balint ^[1]; Lin, Huey -Wen ^[3]; Morningstar, Colin ^[4]; Richards, David G. ^[1]; Wallace, Stephen J. ^[2]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. of Maryland, College Park, MD (United States)
Univ. of Washington, Seattle, WA (United States)
Carnegie Mellon Univ., Pittsburgh, PA (United States)

The energies of the excited states of the Nucleon, $$\Delta$$ and $$\Omega$$ are computed in lattice QCD, using two light quarks and one strange quark on anisotropic lattices. The calculation is performed at three values of the light quark mass, corresponding to pion masses $$m_{\pi}$$ = 392(4), 438(3) and 521(3) MeV. We employ the variational method with a large basis of interpolating operators enabling six energies in each irreducible representation of the lattice to be distinguished clearly. We compare our calculation with the low-lying experimental spectrum, with which we find reasonable agreement in the pattern of states. In addition, the need to include operators that couple to the expected multi-hadron states in the spectrum is clearly identified.

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 985704

Report Number(s):: JLAB-THY--10-1170; DOE/OR/23177--1219

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 1 Vol. 82; ISSN PRVDAQ; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Nucleon, $$\Delta$$ and $$\Omega$$ excited states in $$N_f=2+1$$ lattice QCD

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