Spin-3/2 nucleon and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi></mml:math>baryons in lattice QCD

Zanotti, J. M.; Leinweber, Derek B.; Williams, Anthony G.; Zhang, J.B.; Melnitchouk, Wally; Choe, Seungho

doi:10.1103/physrevd.68.054506

Cited by 71 publications

(93 citation statements)

References 31 publications

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“…Again, the lower bound of the fit window is shown on the horizontal axis and the upper bound of the fit window is fixed at time slice 24. The most statistically precise estimate of the mass splitting is obtained for t min 19, and this result agrees with all other determinations at the 1 level, with the exception of t min 16. Having determined that there is genuine signal in the effective mass splitting at time slice 19, and given the systematic drift in the results approaching time slice 19 as illustrated in both Figs. 10 and 13, one has to conclude that nontrivial contributions from more massive excited states are still present at time slice 16.…”

Section: Fig 6 (Color Online) As Insupporting

confidence: 87%

“…We note that this differs from that of Ref. [19], where interpolating fields transforming as pseudovectors, in accord with the Rarita-Schwinger spinor-vectors, were used. Masses of states with definite spin and parity can then be obtained from the spinor trace of the spin and parity projected correlation functions, Since the contributions to the two-point function are exponentially suppressed at a rate proportional to the energy of the state, at zero momentum the mass of the lightest state, m 0 , is obtained by fitting a constant to the effective mass,…”

Section: B Lattice Techniquesmentioning

confidence: 90%

“…To project states of definite spin from the correlation function G t;p we apply the spin projection operators [19] …”

Section: B Lattice Techniquesmentioning

confidence: 99%

“…Some of the points have been horizontally offset for clarity. The effective mass of the spin-1 2 state is fit at time slices 18-20 and the spin-3 2 state at time slices [19][20][21][22][23][24]. The poor quality of the signal limits the analysis to the four largest quark masses considered.…”

Section: B Positive-parity Isoscalar Channelmentioning

confidence: 99%

“…[5] we employed a complimentary approach to investigate spin- 1 2 pentaquark resonances by searching for evidence of sufficient attraction between the constituents of the pentaquark state such that the resonance mass becomes lower than the sum of the free decay channel masses. We labeled this pattern as ''the standard lattice resonance signature'' because this signature is observed for conventional baryon resonances studied on the lattice [17][18][19][20][21]. By comparing the masses of the spin-1 2 five-quark states to the mass of the decay channel we found no binding at any quark mass and hence no evidence for such attraction.…”

Section: Introductionmentioning

confidence: 99%

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Spin-32pentaquark resonance signature in lattice QCD

et al. 2005

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The possible discovery of the pentaquark has motivated a number of studies of its nature using lattice QCD. While all the analyses thus far have focused on spin-1 2 states, here we report the results of the first exploratory study in quenched lattice QCD of pentaquarks with spin 3 2 . For the spin-3 2 interpolating field we use a product of the standard N and K operators. We do not find any evidence for the standard lattice resonance signature of attraction (i.e., binding at quark masses near the physical regime) in the J P 3 2 ÿ channel. Some evidence of binding is inferred in the isoscalar 3 2 channel at several quark masses, in accord with the standard lattice resonance signature. This suggests that this is a good candidate for the further study of pentaquarks on the lattice.

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Section: Fig 6 (Color Online) As Insupporting

confidence: 87%

Section: B Lattice Techniquesmentioning

confidence: 90%

“…To project states of definite spin from the correlation function G t;p we apply the spin projection operators [19] …”

Section: B Lattice Techniquesmentioning

confidence: 99%

Section: B Positive-parity Isoscalar Channelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spin-32pentaquark resonance signature in lattice QCD

et al. 2005

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Baryon Spectroscopy in Lattice QCD

Leinweber

Melnitchouk

Richards

et al.

Lattice Hadron Physics

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Abstract. We review recent developments in the study of excited baryon spectroscopy in lattice QCD. After introducing the basic methods used to extract masses from correlation functions, we discuss various interpolating fields and lattice actions commonly used in the literature. We present a survey of results of recent calculations of excited baryons in quenched QCD, and outline possible future directions in the study of baryon spectra.

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Hadron Properties with FLIC Fermions

Zanotti

Leinweber

Melnitchouk

et al.

Lattice Hadron Physics

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The Fat-Link Irrelevant Clover (FLIC) fermion action provides a new form of nonperturbative O(a)-improvement in lattice fermion actions offering near continuum results at finite lattice spacing. It provides computationally inexpensive access to the light quark mass regime of QCD where chiral nonanalytic behaviour associated with Goldstone bosons is revealed. The motivation and formulation of FLIC fermions, its excellent scaling properties and its low-lying hadron mass phenomenology are presented.Comment: 29 pages, 13 figures, 6 tables. Contribution to lecure notes in 2nd Cairns Topical Workshop on Lattice Hadron Physics 2003 (LHP 2003), Cairns, Australia, 22-30 Jul 200

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Spin-3/2 nucleon andΔbaryons in lattice QCD

Cited by 71 publications

References 31 publications

Spin-32pentaquark resonance signature in lattice QCD

Spin-32pentaquark resonance signature in lattice QCD

Baryon Spectroscopy in Lattice QCD

Hadron Properties with FLIC Fermions

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