Nucleon resonance structure in the finite volume of lattice QCD

Wu, Jia -Jun; Kamano, H.; Lee, T. -S. H.; Leinweber, D. B.; Thomas, A. W.

doi:10.1103/PhysRevD.95.114507

Title: Nucleon resonance structure in the finite volume of lattice QCD

Journal Article · Mon Jun 19 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.114507· OSTI ID:1373402

Wu, Jia -Jun ^[1]; Kamano, H. ^[2]; Lee, T. -S. H. ^[3]; Leinweber, D. B. ^[1]; Thomas, A. W. ^[1]

Univ. of Adelaide, Adelaide (Australia)
High Energy Accelerator Research Organization (KEK), Ibaraki (Japan); IPNS, KEK, Ibaraki (Japan)
Argonne National Lab. (ANL), Argonne, IL (United States)

An approach for relating the nucleon resonances extracted from πN reaction data to lattice QCD calculations has been developed by using the finite-volume Hamiltonian method. Within models of πN reactions, bare states are introduced to parametrize the intrinsic excitations of the nucleon. We show that the resonance can be related to the probability P_N*(E) of finding the bare state, N*, in the πN scattering states in infinite volume. We further demonstrate that the probability P^V_N*(E) of finding the same bare states in the eigenfunctions of the underlying Hamiltonian in finite volume approaches P_N*(E) as the volume increases. Our findings suggest that the comparison of P_N*(E) and P^V_N*(E) can be used to examine whether the nucleon resonances extracted from the πN reaction data within the dynamical models are consistent with lattice QCD calculation. We also discuss the measurement of P^V_N*(E) directly from lattice QCD. Furthermore, the practical differences between our approach and the approach using the Lüscher formalism to relate LQCD calculations to the nucleon resonance poles embedded in the data are also discussed.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: Japan Society for the Promotion of Science (JSPS); National Energy Research Scientific Computing Center (NERSC); Australian Research Council; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; AC02-05CH11231

OSTI ID:: 1373402

Alternate ID(s):: OSTI ID: 1364199

Journal Information:: Physical Review D, Vol. 95, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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