2014
DOI: 10.1103/physrevc.89.055203
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The complete-experiment problem of photoproduction of pseudoscalar mesons in a truncated partial-wave analysis

Abstract: The complete-experiment problem in the truncated partial-wave analysis (PWA) of pseudoscalar meson photoproduction with suppressed t-channel exchanges is investigated. The focus is set to ambiguities of the group S observables with the unpolarized differential cross section, σ 0 , and the three single-spin observables, , T , and P . For this purpose, the approach and formalism already worked out by Omelaenko [Sov. J. Nucl. Phys. 34, 406 (1981)] is revisited in this work. A numerical study using multipoles of … Show more

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Cited by 49 publications
(100 citation statements)
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“…And this becomes more problematic, when the truncation level increases. In the ambiguity studies of Omelaenko [4,41] sets of 5 observables, as {σ 0 , Σ, T, P, F } were discussed, which, in numerical analysis, show up more robust than the minimal sets of four. Such sets will soon become available, when all data that are presently in progress, are finally analyzed.…”
Section: Results With Experimental Datamentioning
confidence: 99%
See 1 more Smart Citation
“…And this becomes more problematic, when the truncation level increases. In the ambiguity studies of Omelaenko [4,41] sets of 5 observables, as {σ 0 , Σ, T, P, F } were discussed, which, in numerical analysis, show up more robust than the minimal sets of four. Such sets will soon become available, when all data that are presently in progress, are finally analyzed.…”
Section: Results With Experimental Datamentioning
confidence: 99%
“…The general problem with the CEA is, however, that it does not directly lead to partial waves, since an angle-dependent overall phase remains unknown [3]. Therefore, the concept of a truncated partial wave analysis (TPWA) has been extensively studied recently [4], where only partial waves up to an angular momentum of L max are analyzed from the data, while all other higher partial waves are simply expected to be zero. Such TPWA analyses have been studied for kaon and pion photoproduction as well as for electroproduction [5,6].…”
Section: Introductionmentioning
confidence: 99%
“…For the definition of the CGLN amplitudes and their partial wave decompositions for pion-nucleon scattering [71] and photoproduction of a pseudoscalar [45], we refer the interested readers to the original publications. The model-independent determination of these amplitudes is the problem of the so-called complete experiment that has attracted much attention lately [72][73][74], including a dedicated workshop [75]. See Ref.…”
Section: Direct-channel Productionmentioning
confidence: 99%
“…The observables capable of resolving the double ambiguity can be shown 6,8 to be F and G as well as any of the BR and TR observables. Therefore, once completeness in a TPWA is considered disregarding measurement uncertainty, there appear Complete Experiments containing just 5 observables, for example…”
mentioning
confidence: 99%
“…The roots in combination with the coefficient a 2L form a set of complex variables that are equivalent to the 4 max multipoles for all orders max . The ambiguities of the group S observables can now be read off from equation (8). The former consist of all multipole solutions corresponding to sets of roots that are related by complex conjugation.…”
mentioning
confidence: 99%