Determining the dominant partial wave contributions from angular distributions of single- and double-polarization observables in pseudoscalar meson photoproduction

Abstract

This work presents a simple method to determine the significant partial wave contributions to experimentally determined observables in pseudoscalar meson photoproduction. First, fits to angular distributions are presented and the maximum orbital angular momentum ${\text{L}}_{\max }$ needed to achieve a good fit is determined. Then, recent polarization measurements for $\gamma p\to {\pi }^{0}p$ from ELSA, GRAAL, JLab and MAMI are investigated according to the proposed method. This method allows us to project high-spin partial wave contributions to any observable as long as the measurement has the necessary statistical accuracy. We show, that high precision and large angular coverage in the polarization data are needed in order to be sensitive to high-spin resonance-states and thereby also for the finding of small resonance contributions. This task can be achieved via interference of these resonances with the well-known states. For the channel $\gamma p\to {\pi }^{0}p$, those are the $N(1680){\frac{5}{2}}^{+}$ and $\Delta (1950){\frac{7}{2}}^{+}$, contributing to the $F$-waves.

66 pages, 19 figures, 47 tables; Version 2 has been accepted for publication in Eur. Phys. J. A

References in corpus (5)

• Unitary Isobar Model - MAID2007
• Extended Partial-Wave Analysis of piN Scattering Data
• Measurement of the transverse target and beam-target asymmetries in $\eta$ meson photoproduction at MAMI
• The N(1520) 3/2- helicity amplitudes from an energy-independent multipole analysis based on new polarization data on photoproduction of neutral pions
• Double-polarization observable G in neutral-pion photoproduction off the proton

Cited by in corpus (7)

• Light Baryon Spectroscopy
• Towards the Minimal Spectrum of Excited Baryons
• Amplitude reconstruction from complete electroproduction experiments and truncated partial-wave expansions
• Observation of the $p{\eta }^{\prime }$ Cusp in the New Precise Beam Asymmetry $\Sigma$ Data for $\gamma p\to p\eta$
• Amplitude- and truncated partial-wave analyses combined: A novel, almost theory-independent single-channel method for extracting photoproduction multipoles directly from measured data
• Truncated Partial-Wave Analysis for $\eta$-photoproduction observables via Bayesian Statistics
• Resonances extracted in truncated partial-wave analysis are effective mixtures of angular momenta (Possible implications for Höhler's clustering)