Introducing the Pietarinen expansion method into the single-channel pole extraction problem - INSPIRE

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Introducing the Pietarinen expansion method into the single-channel pole extraction problem

Alfred Švarc
(
- Boskovic Inst., Zagreb
)
,
Mirza Hadzimehmedovic
(
- Tuzla U.
)
,
Hedim Osmanovic
(
- Tuzla U.
)
,
Jugoslav Stahov
(
- Tuzla U.
)
,
Lothar Tiator
(
- Mainz U., Inst. Kernphys.
)

Jul 17, 2013

13 pages

Published in:

Phys.Rev.C 88 (2013) 3, 035206

Published: Sep 20, 2013

e-Print:

1307.4613 [hep-ph]

DOI:

10.1103/PhysRevC.88.035206

View in:

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Abstract: (APS)

We present a new approach to quantifying pole parameters of single-channel processes based on a Laurent expansion of partial-wave T matrices in the vicinity of the real axis. Instead of using the conventional power-series description of the nonsingular part of the Laurent expansion, we represent this part by a convergent series of Pietarinen functions. As the analytic structure of the nonsingular part is usually very well known (physical cuts with branch points at inelastic thresholds, and unphysical cuts in the negative energy plane), we find that one Pietarinen series per cut represents the analytic structure fairly reliably. The number of terms in each Pietarinen series is determined by the quality of the fit. The method is tested in two ways: on a toy model constructed from two known poles, various background terms, and two physical cuts, and on several sets of realistic πN elastic energy-dependent partial-wave amplitudes (GWU/SAID [Arndt , Phys. Rev. CPRVCAN0556-281310.1103/PhysRevC.74.045205 74, 045205 (2006); Workman , Phys. Rev. CPRVCAN0556-281310.1103/PhysRevC.86.035202 86, 035202 (2012)], and Dubna-Mainz-Taipei [Chen , Phys. Rev. CPRVCAN0556-281310.1103/PhysRevC.76.035206 76, 035206 (2007); Tiator , Phys. Rev. CPRVCAN0556-281310.1103/PhysRevC.82.055203 82, 055203 (2010)]). We show that the method is robust and confident using up to three Pietarinen series, and is particularly convenient in fits to amplitudes, such as single-energy solutions, coming more directly from experiment: cases where the analytic structure of the regular part is a priori unknown.

Note:

15 pages, 7 figures, 3 tables. arXiv admin note: text overlap with arXiv:1212.1295

14.20.Gk
11.55.Fv
partial wave: energy dependence
S-matrix: partial wave
pole
Laurent expansion
background
toy model
analytic properties
pi nucleon: elastic scattering

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Figures(6)

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Alfred Svarc
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,
Mirza Hadzimehmedovic
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e-Print:
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