Laurent+Pietarinen Partial Wave Analysis

Abstract

A new energy-dependent fit strategy, independent of any specific microscopic theory, is applied to kaon photoproduction data with center-of-mass energies ranging from 1625 MeV to 2296 MeV. Experimental data are fitted in terms of a modified Laurent expansion (Laurent+Pietarinen expansion) which previously has been successfully applied to multipoles. The present aim is to extract resonance pole parameters directly from the data, rather than from sets of multipoles. A constrained single-energy fit is then used to search for missing structures. In this proof-of-principle study, the data are well-described by the initial L+P fit, and it is shown that only a moderate amount of structure, mostly in higher multipoles, is missing from the original fit. Problems due to an unmeasurable overall phase, plaguing single-channel multipole analyses, are mitigated by implementing a form of phase limitation, fixing the initial values of fit parameters using a multi-channel analysis.

23 pages, 12 figures

References in corpus (6)

• Strong evidence for nucleon resonances near 1900\,MeV
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
• Pole structure from energy-dependent and single-energy fits to $\pi N$ elastic scattering data
• $N^{\ast }$ resonances from $K\Lambda$ amplitudes in sliced bins in energy
• Single-energy partial wave analysis for pion photoproduction with fixed-t analyticity
• Application of the single-channel, single-energy AA/PWA method to $K^{+}\Lambda$ photoproduction

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