Excited baryon spectroscopy from lattice QCD: Finite size effect and hyperfine mass splitting

Kiyoshi Sasaki; Shoichi Sasaki

doi:10.1103/PhysRevD.72.034502

Excited baryon spectroscopy from lattice QCD: Finite size effect and hyperfine mass splitting

Kiyoshi Sasaki, Shoichi Sasaki

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

Abstract

A study of the finite-size effect is carried out for spectra of both ground-state and excited-state baryons in quenched lattice QCD using Wilson fermions. Our simulations are performed at β=6/g2=6.2 with three different spatial sizes, La∼ 1.6, 2.2 and 3.2 fm. It is found that the physical lattice size larger than 3 fm is required for Δ states in all spin-parity (JP=1/2±,3/2±) channels and also negative-parity nucleon (N*) state (JP=1/2-) even in the rather heavy quark mass region (Mπ∼1.0GeV). We also find a peculiar behavior of the finite-size effect on the hyperfine mass splittings between the nucleon and the Δ in both parity channels.

Original language	English
Article number	034502
Pages (from-to)	1-13
Number of pages	13
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	72
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevD.72.034502
Publication status	Published - 2005 Aug 1
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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abstract = "A study of the finite-size effect is carried out for spectra of both ground-state and excited-state baryons in quenched lattice QCD using Wilson fermions. Our simulations are performed at β=6/g2=6.2 with three different spatial sizes, La∼ 1.6, 2.2 and 3.2 fm. It is found that the physical lattice size larger than 3 fm is required for Δ states in all spin-parity (JP=1/2±,3/2±) channels and also negative-parity nucleon (N*) state (JP=1/2-) even in the rather heavy quark mass region (Mπ∼1.0GeV). We also find a peculiar behavior of the finite-size effect on the hyperfine mass splittings between the nucleon and the Δ in both parity channels.",

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AB - A study of the finite-size effect is carried out for spectra of both ground-state and excited-state baryons in quenched lattice QCD using Wilson fermions. Our simulations are performed at β=6/g2=6.2 with three different spatial sizes, La∼ 1.6, 2.2 and 3.2 fm. It is found that the physical lattice size larger than 3 fm is required for Δ states in all spin-parity (JP=1/2±,3/2±) channels and also negative-parity nucleon (N*) state (JP=1/2-) even in the rather heavy quark mass region (Mπ∼1.0GeV). We also find a peculiar behavior of the finite-size effect on the hyperfine mass splittings between the nucleon and the Δ in both parity channels.

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Excited baryon spectroscopy from lattice QCD: Finite size effect and hyperfine mass splitting

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