Nucleon resonance structure in the finite volume of lattice QCD
An approach for relating the nucleon resonances extracted from πN reaction data to lattice QCD calculations has been developed by using the finitevolume 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.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[1]};
^{[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)
 Publication Date:
 Grant/Contract Number:
 AC0206CH11357; AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 11; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org:
 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) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1373402
 Alternate Identifier(s):
 OSTI ID: 1364199
Wu, Jia Jun, Kamano, H., Lee, T. S. H., Leinweber, D. B., and Thomas, A. W.. Nucleon resonance structure in the finite volume of lattice QCD. United States: N. p.,
Web. doi:10.1103/PhysRevD.95.114507.
Wu, Jia Jun, Kamano, H., Lee, T. S. H., Leinweber, D. B., & Thomas, A. W.. Nucleon resonance structure in the finite volume of lattice QCD. United States. doi:10.1103/PhysRevD.95.114507.
Wu, Jia Jun, Kamano, H., Lee, T. S. H., Leinweber, D. B., and Thomas, A. W.. 2017.
"Nucleon resonance structure in the finite volume of lattice QCD". United States.
doi:10.1103/PhysRevD.95.114507. https://www.osti.gov/servlets/purl/1373402.
@article{osti_1373402,
title = {Nucleon resonance structure in the finite volume of lattice QCD},
author = {Wu, Jia Jun and Kamano, H. and Lee, T. S. H. and Leinweber, D. B. and Thomas, A. W.},
abstractNote = {An approach for relating the nucleon resonances extracted from πN reaction data to lattice QCD calculations has been developed by using the finitevolume 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 PN*(E) of finding the bare state, N*, in the πN scattering states in infinite volume. We further demonstrate that the probability PVN*(E) of finding the same bare states in the eigenfunctions of the underlying Hamiltonian in finite volume approaches PN*(E) as the volume increases. Our findings suggest that the comparison of PN*(E) and PVN*(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 PVN*(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.},
doi = {10.1103/PhysRevD.95.114507},
journal = {Physical Review D},
number = 11,
volume = 95,
place = {United States},
year = {2017},
month = {6}
}