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Item Charged pion form factor between Q2=0.60 and 2.45 GeV2. II. Determination of, and results for, the pion form factor(2008-10) Huber, G.M.; Blok, H.P.; Horn, T.; Beise, E.J.; Gaskell, D.; Mack, D.J.; Tadevosyan, V.; Volmer, J.; Abbott, D.; Aniol, K.; Anklin, H.; Armstrong, C.; Arrington, J.; Assamagan, K.; Avery, S.; Baker, O.K.; Barrett, B.; Bochna, C.; Boeglin, W.; Brash, E.J.; Breuer, H.; Chang, C.C.; Chant, N.; Christy, M.E.; Dunne, J.; Eden, T.; Ent, R.; Fenker, H.; Gibson, E.F.; Gilman, R.; Gustafsson, K.; Hinton, W.; Holt, J.; Jackson, H.; Jin, S.; Jones, M.K.; Keppel, C.E.; Kim, P.H.; Kim, W.; King, P.M.; Klein, A.; Koltenuk, D.; Kovaltchouk, V.; Liang, M.; Liu, J.; Lolos, G.J.; Lung, A.; Margaziotis, D.J.; Markowitz, P.; Matsumura, A.; McKee, D.; Meekins, D.; Mitchell, J.; Miyoshi, T.; Mkrtchyan, H.; Mueller, B.; Niculescu, G.; Niculescu, I.; Okayasu, Y.; Pentchev, L.; Perdrisat, C.; Pitz, D.; Potterveld, D.; Punjabi, V.; Qin, L.M.; Reimer, P.E.; Reinhold, J.; Roche, J.; Roos, P.G.; Sarty, A.; Shin, I.K.; Smith, G.R.; Stepanyan, S.; Tang, L.G.; Tvaskis, V.; van der Meer, R.L.J.; Vansyoc, K.; VanWestrum, D.; Vidakovic, S.; Vulcan, W.; Warren, G.; Wood, S.A.; Xu, C.; Yan, C.; Zhao, W.-X.; Zheng, X.; Zihlmann, B.; The Jefferson Lab Fπ CollaborationThe charged pion form factor, Fπ(Q2), is an important quantity that can be used to advance our knowledge of hadronic structure. However, the extraction of Fπ from data requires a model of the 1H(e,e'π+)n reaction and thus is inherently model dependent. Therefore, a detailed description of the extraction of the charged pion form factor from electroproduction data obtained recently at Jefferson Lab is presented, with particular focus given to the dominant uncertainties in this procedure. Results for Fπ are presented for Q2=0.60-2.45 GeV2. Above Q2=1.5 GeV2, the Fπ values are systematically below the monopole parametrization that describes the low Q2 data used to determine the pion charge radius. The pion form factor can be calculated in a wide variety of theoretical approaches, and the experimental results are compared to a number of calculations. This comparison is helpful in understanding the role of soft versus hard contributions to hadronic structure in the intermediate Q2 regime.Item Recoil polarization measurements for neutral pion electroproduction at Q2=1(GeV/c)2 near the Δ resonance(2007-02) Kelly, J.J.; Gayou, O.; Roche, R.E.; Chai, Z.; Jones, M.K.; Sarty, A.J.; Frullani, S.; Aniol, K.; Beise, E.J.; Benmokhtar, F.; Bertozzi, W.; Boeglin, W.U.; Botto, T.; Brash, E.J.; Breuer, H.; Brown, E.; Burtin, E.; Calarco, J.R.; Cavata, C.; Chang, C.C.; Chant, N.S.; Chen, J.-P.; Coman, M.; Crovelli, D.; De Leo, R.; Dieterich, S.; Escoffier, S.; Fissum, K.G.; Garde, V.; Garibaldi, F.; Georgakopoulos, S.; Gilad, S.; Gilman, R.; Glashausser, C.; Hansen, J.-O.; Higinbotham, D.W.; Hotta, A.; Huber, G.M.; Ibrahim, H.; Iodice, M.; de Jager, C.W.; Jiang, X.; Kimenko, A.; Kozlov, A.; Kumbartzki, G.; Kuss, M.; Lagamba, L.; Laveissiere, G.; LeRose, J.J.; Lindgren, R.A.; Liyange, N.; Lolos, G.J.; Lourie, R.W.; Margaziotis, D.J.; Marie, F.; Markowitz, P.; McAleer, S.; Meekins, D.; Michaels, R.; Milbrath, B.D.; Mitchell, J.; Nappa, J.; Neyret, D.; Perdrisat, C.F.; Potokar, M.; Punjabi, V.A.; Pussieux, T.; Ransome, R.D.; Roos, P.G.; Rvachev, M.; Saha, A.; Sirca, S.; Suleiman, R.; Strauch, S.; Templon, J.A.; Todor, L.; Ulmer, P.E.; Urciuoli, G.M.; Weinstein, L.B.; Wijsooriya, K.; Wojtsekhowski, B.; Zheng, X.; Zhu, L.; Jefferson Laboratory E91011 and Hall A CollaborationsWe measured angular distributions of differential cross section, beam analyzing power, and recoil polarization for neutral pion electroproduction at Q2=1.0 (GeV/c)2 in 10 bins of 1.17⩽W⩽1.35 GeV across the Δ resonance. A total of 16 independent response functions were extracted, of which 12 were observed for the first time. Comparisons with recent model calculations show that response functions governed by real parts of interference products are determined relatively well near the physical mass, W=MΔ≈1.232 GeV, but the variation among models is large for response functions governed by imaginary parts, and for both types of response functions, the variation increases rapidly with W>MΔ. We performed a multipole analysis that adjusts suitable subsets of ℓπ⩽2 amplitudes with higher partial waves constrained by baseline models. This analysis provides both real and imaginary parts. The fitted multipole amplitudes are nearly model independent—there is very little sensitivity to the choice of baseline model or truncation scheme. By contrast, truncation errors in the traditional Legendre analysis of N→Δ quadrupole ratios are not negligible. Parabolic fits to the W dependence around MΔ for the multiple analysis gives values for Re(S1+/M1+)=(-6.61±0.18)% and Re(E1+/M1+)=(-2.87±0.19)% for the pπ0 channel at W=1.232 GeV and Q2=1.0 (GeV/c)2 that are distinctly larger than those from the Legendre analysis of the same data. Similarly, the multipole analysis gives Re(S0+/M1+)=(+7.1±0.8)% at W=1.232 GeV, consistent with recent models, while the traditional Legendre analysis gives the opposite sign because its truncation errors are quite severe.Item Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2(2006-11) Horn, T.; Aniol, K.; Arrington, J.; Barrett, B.; Beise, E.J.; Blok, H.P.; Boeglin, W.; Brash, E.J.; Breuer, H.; Chang, C.C.; Christy, M.E.; Ent, R.; Gaskell, D.; Gibson, E.; Holt, R.J.; Huber, G.M.; Jin, S.; Jones, M.K.; Keppel, C.E.; Kim, W.; King, P.M.; Kovaltchouk, V.; Liu, J.; Lolos, G.J.; Mack, D.J.; Margaziotis, D.J.; Markowitz, P.; Matsumura, A.; Meekins, D.; Miyoshi, T.; Mkrtchyan, H.; Niculescu, I.; Okayasu, Y.; Pentchev, L.; Perdrisat, C.; Potterveld, D.; Punjabi, V.; Reimer, P.; Reinhold, J.; Roche, J.; Roos, P.G.; Sarty, A.; Smith, G.R.; Tadevosyan, V.; Tang, L.G.; Tvaskis, V.; Vidakovic, S.; Volmer, J.; Vulcan, W.; Warren, G.; Wood, S.A.; Xu, C.; Zheng, X.; The Jefferson Lab Fπ-2 CollaborationThe 1H(e,e′π+)n cross section was measured at four-momentum transfers of Q2=1.60 and 2.45 GeV2 at an invariant mass of the photon nucleon system of W =2.22 GeV. The charged pion form factor (Fπ) was extracted from the data by comparing the separated longitudinal pion electropro- duction cross section to a Regge model prediction in which Fπ is a free parameter. The results indicate that the pion form factor deviates from the charge-radius constrained monopole form at these values of Q2 by one sigma, but is still far from its perturbative Quantum Chromo-Dynamics prediction.