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The pion's electromagnetic form factor at small momentum transfer in full lattice QCD

The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
We compute the electromagnetic form factor of a "pion" with mass mπ = 330 MeV at low values of Q2 ≡ q2, where q is the momentum transfer. The computations are performed in a lattice simulation using an ensemble of the RBC/UKQCD collaboration's gauge configurations with Domain Wall Fermions and the Iwasaki gauge action with an inverse lattice spacing of 1.73(3) GeV. In order to be able to reach low momentum transfers we use partially twisted boundary conditions using the techniques we have developed and tested earlier. For the pion of mass 330 MeV we find a charge radius given by (rπ2)330 MeV = 0.354(31) fm2 which, using NLO SU(2) chiral perturbation theory, translates to a value of  rπ2 = 0.418(31) fm2 for a physical pion, in agreement with the experimentally determined result. We confirm that there is a significant reduction in computational cost when using propagators computed from a single time-slice stochastic source compared to using those with a point source; for mπ = 330 MeV and volume (2.74 fm)3 we find the reduction is approximately a factor of 12.
lattice qcd, electromagnetic processes and properties, nonperturbative effects
112-[21pp]
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Jüttner, A.
83e336df-c2b2-455d-b9d4-9abbd490e930
Kelly, C.
c4345b06-5900-4597-9dbc-623dc13e6f8e
de Lima, H.Pedroso
2e2241a2-15c9-4d09-9272-29f8285391cd
Maynard, C.M.
379b1165-7a0a-4ea4-b900-b094aac31c71
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d
RBC
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Jüttner, A.
83e336df-c2b2-455d-b9d4-9abbd490e930
Kelly, C.
c4345b06-5900-4597-9dbc-623dc13e6f8e
de Lima, H.Pedroso
2e2241a2-15c9-4d09-9272-29f8285391cd
Maynard, C.M.
379b1165-7a0a-4ea4-b900-b094aac31c71
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d

Boyle, P.A., Flynn, J.M., Jüttner, A., Kelly, C., de Lima, H.Pedroso, Maynard, C.M., Sachrajda, C.T. and Zanotti, J.M. , RBC (2008) The pion's electromagnetic form factor at small momentum transfer in full lattice QCD. Journal of High Energy Physics, 2008 (7), 112-[21pp]. (doi:10.1088/1126-6708/2008/07/112).

Record type: Article

Abstract

We compute the electromagnetic form factor of a "pion" with mass mπ = 330 MeV at low values of Q2 ≡ q2, where q is the momentum transfer. The computations are performed in a lattice simulation using an ensemble of the RBC/UKQCD collaboration's gauge configurations with Domain Wall Fermions and the Iwasaki gauge action with an inverse lattice spacing of 1.73(3) GeV. In order to be able to reach low momentum transfers we use partially twisted boundary conditions using the techniques we have developed and tested earlier. For the pion of mass 330 MeV we find a charge radius given by (rπ2)330 MeV = 0.354(31) fm2 which, using NLO SU(2) chiral perturbation theory, translates to a value of  rπ2 = 0.418(31) fm2 for a physical pion, in agreement with the experimentally determined result. We confirm that there is a significant reduction in computational cost when using propagators computed from a single time-slice stochastic source compared to using those with a point source; for mπ = 330 MeV and volume (2.74 fm)3 we find the reduction is approximately a factor of 12.

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e-pub ahead of print date: 28 July 2008
Published date: July 2008
Keywords: lattice qcd, electromagnetic processes and properties, nonperturbative effects
Organisations: High Energy Physics

Identifiers

Local EPrints ID: 143313
URI: http://eprints.soton.ac.uk/id/eprint/143313
PURE UUID: 88529a40-9752-4b6b-93eb-a4809cfa38a0
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

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Date deposited: 26 May 2010 08:22
Last modified: 09 Nov 2021 02:45

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Contributors

Author: P.A. Boyle
Author: J.M. Flynn ORCID iD
Author: A. Jüttner
Author: C. Kelly
Author: H.Pedroso de Lima
Author: C.M. Maynard
Author: C.T. Sachrajda
Author: J.M. Zanotti
Corporate Author: RBC

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