Proton Polarization in the $p(\vec e,e'\vec p)π^0$ Reaction and the Measurement of Quadrupole Components in the N to $Δ$ Transition

Details Proton Polarization in the $p(\vec e,e'\vec p)π^0$ Reaction and the Measurement of Quadrupole Components in the N to $Δ$ Transition Proton Polarization in the $p(\vec e,e'\vec p)π^0$ Reaction and the Measurement of Quadrupole Components in the N to $Δ$ Transition

1997-12-16

arxiv.org/abs/nucl-th/9712057v1

Eur.Phys.J.A1:427-433,1998

Physics

Nuclear Physics

Nuclear Theory

14 pages, 2 figures, LateX. Submitted to Z.Phys. A

Scientific paper

10.1007/s100500050077

The recoil proton polarization in the $\pi^0$ production off the proton with longitudinally polarized electron beam has been studied as a means to measure quadrupole components in the N to $\Delta$ transition. On top of the $\Delta$ resonance a high sensitivity to a possible Coulomb quadrupole excitation is found in parallel kinematics. The ratio of $S_{1+}/M_{1+}$ multipole amplitudes can be determined from the ratio of the two in-scattering-plane recoil proton polarization components. Avoiding the absolute measurement of the polarizations, such a ratio allows small experimental uncertainties. Furthermore, the electron helicity independent proton polarization component enables the characterization of resonant and non-resonant pieces.

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