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000018583 035__ $$9arXiv$$aarXiv:1104.3490$$cnucl-th
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000018583 041__ $$aeng
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000018583 084__ $$2WoS$$aPhysics, Nuclear
000018583 084__ $$2PACS$$a14.20.Gk
000018583 084__ $$2PACS$$a13.75.Gx
000018583 084__ $$2PACS$$a11.80.Gw
000018583 084__ $$2PACS$$a24.10.Eq
000018583 1001_ $$0P:(DE-HGF)0$$aCeci, S.$$b0
000018583 245__ $$aRelevance of complex  branch points for partial wave analysis
000018583 260__ $$aWoodbury, NY$$bInst.$$c2011
000018583 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2011-07-15
000018583 264_1 $$2Crossref$$3print$$bAmerican Physical Society (APS)$$c2011-07-01
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000018583 440_0 $$04921$$aPhysical Review C$$v84$$x0556-2813
000018583 500__ $$aThis work is supported by the DAAD (Deutscher Akademischer Austauschdienst), Grant No. D/08/00215. It is also supported by the DFG (Deutsche Forschungsgemeinschaft, Gz., Grants No. DO 1302/1-2 and No. SFB/TR-16) and by the EU-Research Infrastructure Integrating Activity "Study of Strongly Interacting Matter" (HadronPhysics2, Grant No. 227431) under the Seventh Framework Program of the EU.
000018583 500__ $$9arXiv$$a8 pages, 4 figures
000018583 500__ $$9arXiv$$a8 pages, 4 figures
000018583 520__ $$aA central issue in hadron spectroscopy is to deduce-and interpret-resonance parameters, namely, pole positions and residues, from experimental data, for those are the quantities to be compared to lattice QCD or model calculations. However, not every structure in the observables derives from a resonance pole: the origin might as well be branch points, either located on the real axis (when a new channel composed of stable particles opens) or in the complex plane (when at least one of the intermediate particles is unstable). In this paper we demonstrate first the existence of such branch points in the complex plane and then show on the example of the pi N P-11 partial wave that it is not possible to distinguish the structures induced by the latter from a true pole signal based on elastic data alone.
000018583 536__ $$0G:(DE-Juel1)FUEK413$$2G:(DE-HGF)$$aPhysik der Hadronen und Kerne$$cP53$$x0
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000018583 650_7 $$2INSPIRE$$apartial wave analysis
000018583 650_7 $$2INSPIRE$$ahadron spectroscopy
000018583 650_7 $$2INSPIRE$$aresonance: pole
000018583 650_7 $$2INSPIRE$$aS-matrix
000018583 650_7 $$2INSPIRE$$aanalytic properties
000018583 650_7 $$2INSPIRE$$athreshold
000018583 650_7 $$2INSPIRE$$api nucleon: scattering amplitude
000018583 650_7 $$2INSPIRE$$arho(770): width
000018583 650_7 $$2INSPIRE$$anumerical calculations
000018583 7001_ $$0P:(DE-Juel1)VDB73164$$aDöring, M.$$b1$$uFZJ
000018583 7001_ $$0P:(DE-Juel1)131182$$aHanhart, C.$$b2$$uFZJ
000018583 7001_ $$0P:(DE-HGF)0$$aKrewald, S.$$b3
000018583 7001_ $$0P:(DE-Juel1)131252$$aMeißner, U.-G.$$b4$$uFZJ
000018583 7001_ $$0P:(DE-HGF)0$$aSvarc, A.$$b5
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000018583 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevC.84.015205
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000018583 9131_ $$0G:(DE-Juel1)FUEK413$$aDE-HGF$$bStruktur der Materie$$kP53$$lPhysik der Hadronen und Kerne$$vPhysik der Hadronen und Kerne$$x0
000018583 9131_ $$0G:(EU-Grant)227431$$aDE-HGF$$vStudy of Strongly Interacting Matter$$x1
000018583 9132_ $$0G:(DE-HGF)POF3-511$$1G:(DE-HGF)POF3-510$$2G:(DE-HGF)POF3-500$$aDE-HGF$$bKey Technologies$$lSupercomputing & Big Data$$vComputational Science and Mathematical Methods$$x0
000018583 9201_ $$0I:(DE-Juel1)IKP-3-20111104$$gIKP$$kIKP-3$$lTheoretische Kernphysik$$x0
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