Pole positions and residues from pion photoproduction using the Laurent-Pietarinen expansion method

Alfred Švarc, Mirza Hadžimehmedović, Hedim Osmanović, Jugoslav Stahov, Lothar Tiator, and Ron L. Workman
Phys. Rev. C 89, 065208 – Published 20 June 2014

Abstract

We applied a new approach to determine the pole positions and residues from pion photoproduction multipoles. The method is based on a Laurent expansion of the partial-wave T matrices, with a Pietarinen series representing the regular part of energy-dependent and single-energy photoproduction solutions. The method is applied to multipole fits generated by the MAID and George Washington University SAID (GWU-SAID) groups. We show that the number and properties of poles extracted from photoproduction data correspond very well to results from πN elastic data and values cited by the Particle Data Group (PDG). The photoproduction residues provide new information for the electromagnetic current at the pole position, which are independent of background parametrizations, which is not the case for the Breit-Wigner representation. Finally, we present the photodecay amplitudes from the current MAID and SAID solutions at the pole for all four-star nucleon resonances below W=2 GeV.

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  • Received 14 April 2014

DOI:https://doi.org/10.1103/PhysRevC.89.065208

©2014 American Physical Society

Authors & Affiliations

Alfred Švarc*

  • Rudjer Bošković Institute, Bijenička cesta 54, P.O. Box 180, 10002 Zagreb, Croatia

Mirza Hadžimehmedović, Hedim Osmanović, and Jugoslav Stahov

  • University of Tuzla, Faculty of Science, Univerzitetska 4, 75000 Tuzla, Bosnia and Herzegovina

Lothar Tiator

  • Institut für Kernphysik, Universität Mainz, D-55099 Mainz, Germany

Ron L. Workman

  • Data Analysis Center at the Institute for Nuclear Studies, Department of Physics, The George Washington University, Washington, D.C. 20052, USA

  • *alfred.svarc@irb.hr

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Vol. 89, Iss. 6 — June 2014

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