The differential cross sections \sigma_0=\sigma_T+\epsilon \sigma_L, \sigma_{LT}, and \sigma_{TT} of \pi^0 electroproduction from the proton were measured from threshold up to an additional center of mass energy of 40 MeV, at a value of the photon four-momentum transfer of Q^2= 0.05 GeV^2/c^2 and a center of mass angle of \theta=90^\circ. By an additional out-of-plane measurement with polarized electrons \sigma_{LT'} was determined. This showed for the first time the cusp effect above the \pi^+ threshold in the imaginary part of the s-wave. The predictions of Heavy Baryon Chiral Perturbation Theory are in disagreement with these data. On the other hand, the data are somewhat better predicted by the MAID phenomenological model and are in good agreement with the dynamical model DMT.
The separated cross section SIG(0), SIG(LT) and SIG(TT).
Beam helicity asymmetry.
To determine nonspherical angular momentum amplitudes in hadrons at long ranges (low Q^2), data were taken for the p(\vec{e},e'p)\pi^0 reaction in the Delta region at Q^2=0.060 (GeV/c)^2 utilizing the magnetic spectrometers of the A1 Collaboration at MAMI. The results for the dominant transition magnetic dipole amplitude and the quadrupole to dipole ratios at W=1232 MeV are: M_{1+}^{3/2} = (40.33 +/- 0.63_{stat+syst} +/- 0.61_{model}) (10^{-3}/m_{\pi^+}),Re(E_{1+}^{3/2}/M_{1+}^{3/2}) = (-2.28 +/- 0.29_{stat+syst} +/- 0.20_{model})%, and Re(S_{1+}^{3/2}/M_{1+}^{3/2}) = (-4.81 +/- 0.27_{stat+syst} +/- 0.26_{model})%. These disagree with predictions of constituent quark models but are in reasonable agreement with lattice calculations with non-linear (chiral) pion mass extrapolations, with chiral effective field theory, and with dynamical models with pion cloud effects. These results confirm the dominance, and general Q^2 variation, of the pionic contribution at large distances.
Measured value of SIG(C=T) + EPS*SIG(C=L) as a function of the pion angle relative to the virtual photon direction.
Measured value of SIG(C=TT) as a function of the pion angle relative to thevirtual photon direction.
Measured value of SIG(C=LT) as a function of the pion angle relative to thevirtual photon direction.
Polarization transfer in the 4He(e,e'p)3H reaction at a Q^2 of 0.4 (GeV/c)^2 was measured at the Mainz Microtron MAMI. The ratio of the transverse to the longitudinal polarization components of the ejected protons was compared with the same ratio for elastic ep scattering. The results are consistent with a recent fully relativistic calculation which includes a predicted medium modification of the proton form factor based on a quark-meson coupling model.
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First data on coherent threshold \pi^0 electroproduction from the deuteron taken by the A1 Collaboration at the Mainz Microtron MAMI are presented. At a four-momentum transfer of q^2=-0.1 GeV^2/c^2 the full solid angle was covered up to a center-of-mass energy of 4 MeV above threshold. By means of a Rosenbluth separation the longitudinal threshold s wave multipole and an upper limit for the transverse threshold s wave multipole could be extracted and compared to predictions of Heavy Baryon Chiral Perturbation Theory.
Differential cross-section d(SIG(PI0))/d(OMEGA) is related to electron-deuteron one by the relation as follows: d(SIG)/d(OMEGA_e)/d(E_e)/d(OMEGA) = Gamma *d(SIG)/d(OMEGA), where the virtual photon flux is give by: Gamma = (alpha/2*pi**2) * (E'/E) * (k_gamma/Q2) / (1-epsilon). Here epsilon is transverse degree of polarization of the virtual photon. See article for details.
Differential cross-section d(SIG(PI0))/d(OMEGA) is related to electron-deuteron one by the relation as follows: d(SIG)/d(OMEGA_e)/d(E_e)/d(OMEGA) = Gamma *d(SIG)/d(OMEGA), where the virtual photon flux is give by: Gamma = (alpha/2*pi**2) * (E'/E) * (k_gamma/Q2) / (1-epsilon). Here epsilon is transverse degree of polarizatiuon of the virtual photon. See article for details.
Differential cross-section d(SIG(PI0))/d(OMEGA) is related to electron-deuteron one by the relation as follows: d(SIG)/d(OMEGA_e)/d(E_e)/d(OMEGA) = Gamma *d(SIG)/d(OMEGA), where the virtual photon flux is give by: Gamma = (alpha/2*pi**2) * (E'/E) * (k_gamma/Q2) / (1-epsilon). Here epsilon is transverse degree of polarizatiuon of the virtual photon. See article for details.
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