Parametrisation-free determination of the shape parameters for the pion electromagnetic form factor

被引：14

作者：

Ananthanarayan, B. ^{[1
]}

Caprini, I. ^{[2
]}

Das, Diganta ^{[3
]}

Imsong, I. Sentitemsu ^{[4
]}

机构：

[1] Indian Inst Sci, Ctr High Energy Phys, Bangalore 560012, Karnataka, India

[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest 077125, Romania

[3] Inst Math Sci, Madras 600113, Tamil Nadu, India

[4] Univ Siegen, Nat Wissensch Tech Fak, D-57068 Siegen, Germany

来源：

EUROPEAN PHYSICAL JOURNAL C | 2013年 / 73卷 / 08期

关键词：

ELECTROPRODUCTION; BOUNDS;

D O I：

10.1140/epjc/s10052-013-2520-9

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Recent data from high-statistics experiments that have measured the modulus of the pion electromagnetic form factor from threshold to relatively high energies are used as input in a suitable mathematical framework of analytic continuation to find stringent constraints on the shape parameters of the form factor at t = 0. The method uses also as input a precise description of the phase of the form factor in the elastic region based on Fermi-Watson theorem and the analysis of the pi pi scattering amplitude with dispersive Roy equations, and some information on the spacelike region coming from recent high precision experiments. Our analysis confirms the inconsistencies of several data on the modulus, especially from low energies, with analyticity and the input phase, noted in our earlier work. Using the data on the modulus from energies above 0.65 GeV, we obtain, with no specific parametrisation, the prediction < r(pi)(2)> is an element of (0.42, 0.44) fm(2) for the charge radius. The same formalism leads also to very narrow allowed ranges for the higher-order shape parameters at t = 0, with a strong correlation among them.

引用

页码：1 / 11

页数：11

共 37 条

[1] Theory of unitarity bounds and low-energy form factors
Abbas, Gauhar
Ananthanarayan, B.
Caprini, I.
Imsong, I. Sentitemsu
Ramanan, S.
[J]. EUROPEAN PHYSICAL JOURNAL A, 2010, 45 (03) : 389 - 399
[2] High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector
Akhmetshin, R. R.
Aulchenko, V. M.
Banzarov, V. Sh.
Barkov, L. M.
Bashtovoy, N. S.
Bondar, A. E.
Bondarev, D. V.
Bragin, A. V.
Dhawan, S. K.
Eidelman, S. I.
Epifanov, D. A.
Fedotovich, G. V.
Gabyshev, N. I.
Gorbachev, D. A.
Grebenuk, A. A.
Grigoriev, D. N.
Hughes, V. W.
Ignatov, F. V.
Karpov, S. V.
Kazanin, V. F.
Khazin, B. I.
Koop, I. A.
Krokovny, P. P.
Kuzmin, A. S.
Logashenko, I. B.
Lukin, P. A.
Lysenko, A. P.
Mikhailov, K. Yu.
Miller, J. P.
Milshtein, A. I.
Nesterenko, I. N.
Nikulin, M. A.
Okhapkin, V. S.
Otboev, A. V.
Perevedentsev, E. A.
Popov, A. S.
Redin, S. I.
Roberts, B. L.
Root, N. I.
Ruban, A. A.
Ryskulov, N. M.
Shamov, A. G.
Shatunov, Yu. M.
Shwartz, B. A.
Sibidanov, A. L.
Sidorov, V. A.
Skrinsky, A. N.
Smakhtin, V. P.
Snopkov, I. G.
Solodov, E. P.
[J]. PHYSICS LETTERS B, 2007, 648 (01) : 28 - 38
[3] Measurement of σ-(e+e- → π+π-) from threshold to 0.85 GeV2 using initial state radiation with the KLOE detector
Ambrosino, F.
Archilli, F.
Beltrame, P.
Bencivenni, G.
Bini, C.
Bloise, C.
Bocchetta, S.
Bossi, F.
Branchini, P.
Capon, G.
Capussela, T.
Ceradini, F.
Ciambrone, P.
De Lucia, E.
De Santis, A.
De Simone, P.
De Zorzi, G.
Denig, A.
Di Domenico, A.
Di Donato, C.
Di Micco, B.
Dreucci, M.
Felici, G.
Fiore, S.
Franzini, P.
Gatti, C.
Gauzzi, P.
Giovannella, S.
Graziani, E.
Jacewicz, M.
Kluge, W.
Lee-Franzini, J.
Leone, D.
Massarotti, P.
Meola, S.
Miscetti, S.
Mueller, S.
Murtasa, F.
Napolitano, M.
Nguyen, F.
Passeri, A.
Patera, V.
Santangelo, P.
Taccini, C.
Tortora, L.
Venanzoni, G.
Versaci, R.
[J]. PHYSICS LETTERS B, 2011, 700 (02) : 102 - 110
[4] Measurement of σ(e+e- → π+π-γ(γ)) and the dipion contribution to the muon anomaly with the KLOE detector
Ambrosino, F.
Antonelli, A.
Antonelli, M.
Archilli, F.
Bacci, C.
Beltrame, P.
Bencivenni, G.
Bertolucci, S.
Bini, C.
Bloise, C.
Bocchetta, S.
Bossi, F.
Branchini, P.
Campana, P.
Capon, G.
Capussela, T.
Ceradini, F.
Chi, S.
Chiefari, G.
Ciambrone, P.
Crucianelli, F.
De Lucia, E.
De Santis, A.
De Simone, P.
De Zorzi, G.
Denig, A.
Di Domenico, A.
Di Donato, C.
Di Falco, S.
Di Micco, B.
Doria, A.
Dreucci, M.
Felici, G.
Ferrari, A.
Ferrer, M. L.
Fiore, S.
Forti, C.
Franzini, P.
Gatti, C.
Gauzzi, P.
Giovannella, S.
Gorini, E.
Graziani, E.
Incagli, M.
Kluge, W.
Kulikov, V.
Lacava, F.
Lanfranchi, G.
Lee-Franzini, J.
Leone, D.
[J]. PHYSICS LETTERS B, 2009, 670 (4-5) : 285 - 291
[5] A MEASUREMENT OF THE SPACE-LIKE PION ELECTROMAGNETIC FORM-FACTOR
AMENDOLIA, SR
ARIK, M
BADELEK, B
BATIGNANI, G
BECK, GA
BEDESCHI, F
BELLAMY, EH
BERTOLUCCI, E
BETTONI, D
BILOKON, H
BOLOGNA, G
BOSISIO, L
BRADASCHIA, C
BUDINICH, M
CODINO, A
DELLORSO, M
PIAZZOLI, BD
ENORINI, M
FABBRI, FL
FIDECARO, F
FOA, L
FOCARDI, E
FRANK, SGF
GIAZOTTO, A
GIORGI, MA
GREEN, MG
HARVEY, J
HEATH, GP
LANDON, MPJ
LAURELLI, P
LIELLO, F
MANNOCCHI, G
MARCH, PV
MARROCCHESI, PS
MENZIONE, A
MERONI, E
MORONI, L
MILOTTI, E
PICCHI, P
RAGUSA, F
RISTORI, L
ROLANDI, L
SALA, S
SALTMARSH, CG
SAOUCHA, A
SATTA, L
SCRIBANO, A
SPILLANTINI, P
STEFANINI, A
STOREY, D
[J]. NUCLEAR PHYSICS B, 1986, 277 (01) : 168 - 196
[6] Model independent bounds on the modulus of the pion form factor on the unitarity cut below the ωπ threshold
Ananthanarayan, B.
Caprini, I.
Das, Diganta
Imsong, I. Sentitemsu
[J]. EUROPEAN PHYSICAL JOURNAL C, 2012, 72 (10): : 1 - 12
[7] Spacelike pion form factor from analytic continuation and the onset of perturbative QCD
Ananthanarayan, B.
Caprini, Irinel
Imsong, I. Sentitemsu
[J]. PHYSICAL REVIEW D, 2012, 85 (09):
[8] Implications of the recent high statistics determination of the pion electromagnetic form factor in the timelike region
Ananthanarayan, B.
Caprini, Irinel
Imsong, I. Sentitemsu
[J]. PHYSICAL REVIEW D, 2011, 83 (09)
[9] Roy equation analysis of ππ scattering
Ananthanarayan, B
Colangelo, G
Gasser, J
Leutwyler, H
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (04): : 207 - 279
[10] Anderson S, 2000, PHYS REV D, V61, DOI 10.1103/PhysRevD.61.112002

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