P-wave ππ scattering and the ρ resonance from lattice QCD
Name
PhysRevD.96.034525.pdf
Size
1.64 MB
Format
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Checksum (MD5)
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Author(s)
Alexandrou, Constantia
Leskovec, Luka
Meinel, Stefan
Paul, Srijit
Petschlies, Marcus
Rendon, Gumaro
Syritsyn, Sergey
Pochinsky, Andrew
Negele, John W.
Date Issued
August 2017
Journal
Physical Review D
Publisher
American Physical Society
Citation
Alexandrou, Constantia, et al. “P -Wave ππ Scattering and the ρ Resonance from Lattice QCD.” Physical Review D, vol. 96, no. 3, Aug. 2017. © 2017 American Physical Society
Version
Final published version
Abstract
We calculate the parameters describing elastic I=1, P-wave ππ scattering using lattice QCD with 2+1 flavors of clover fermions. Our calculation is performed with a pion mass of m[subscript π]≈320 MeV and a lattice size of L≈3.6 fm. We construct the two-point correlation matrices with both quark-antiquark and two-hadron interpolating fields using a combination of smeared forward, sequential and stochastic propagators. The spectra in all relevant irreducible representations for total momenta |[→P]| ≤ √3]2π/L are extracted with two alternative methods: a variational analysis as well as multiexponential matrix fits. We perform an analysis using Lüscher’s formalism for the energies below the inelastic thresholds, and investigate several phase shift models, including possible nonresonant contributions. We find that our data are well described by the minimal Breit-Wigner form, with no statistically significant nonresonant component. In determining the ρ resonance mass and coupling we compare two different approaches: fitting the individually extracted phase shifts versus fitting the t-matrix model directly to the energy spectrum. We find that both methods give consistent results, and at a pion mass of am[subscript π]=0.18295(36)[subscript stat] obtain g[subscript ρππ]=5.69(13)[subscript stat](16)_{sys}, am[subscript ρ]=0.4609(16)[subscript stat](14)[subscript sys], and am[subscript ρ]/am[subcript N]=0.7476(38)[subscript stat](23)[subscript sys], where the first uncertainty is statistical and the second is the systematic uncertainty due to the choice of fit ranges.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.96.034525
