Ambiguities of complex phase-shift analysis

Gersten, A.

doi:10.1016/0550-3213(69)90072-8

Cited by 97 publications

(35 citation statements)

References 4 publications

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“…The fundamental idea for this study, as presented in Refs. [25] and [30], consists of exchanging the angular variable cos θ present in the multipole expansion of Eqs. (4) to (7) for t = tan θ/2.…”

Section: Formalism For the Study Of Ambiguities Of The Group S Omentioning

confidence: 99%

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The complete-experiment problem of photoproduction of pseudoscalar mesons in a truncated partial-wave analysis

2014

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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 the PWA solution MAID2007 shows how only one additional double polarization observable can resolve all ambiguities. Therefore, the possibility emerges to perform a complete experiment with only five observables.

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Section: Formalism For the Study Of Ambiguities Of The Group S Omentioning

confidence: 99%

“…The work of Omelaenko is based on investigations on ambiguities arising in the analysis of πN scattering that were performed by Gersten [30] in 1969. Both approaches proceed via appropriately representing the spin amplitudes describing the process by products.…”

Section: Introductionmentioning

confidence: 99%

The complete-experiment problem of photoproduction of pseudoscalar mesons in a truncated partial-wave analysis

2014

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“…Also here, the data covers only a limited range in energy and solid angle. The problem of ambiguities in the case of so-called "incomplete" experiments (with lack of spin-rotation information) has been discussed many decades ago, see [12,13,14]. Let us briefly recall the origin of such ambiguities.…”

Section: Amplitude Ambiguities When Only Dσ/dω and P Are Knownmentioning

confidence: 99%

Study of ambiguities in π−p → ΛK0 scattering amplitudes

et al. 2013

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Abstract. Amplitudes for the reaction π − p → ΛK 0 are reconstructed from data on the differential cross section dσ/dΩ, the recoil polarization P , and on the spin rotation parameter β. At low energies, no data on β exist, resulting in ambiguities. An approximation using S and P waves leads only to a fair description of the data on dσ/dΩ and P ; in this case, there are two sets of amplitudes. Including D waves, the data on dσ/dΩ and P are well reproduced by the fit but now, there are several distinct solutions which describe the data with identical precision. In the range where the spin rotation parameter β was measured, a full and unambiguous reconstruction of the partial wave amplitudes is possible. The energy-independent (single-energy) amplitudes are compared to the energy dependent amplitudes which resulted from a coupled channel fit (BnGa2011-02) to a large data set including both pion and photo-induced reactions. Significant deviations are observed. Consistency between energy dependent and energy independent solutions is obtained by choosing the energy independent solution which is closest to the energy dependent solution. In a second step, the known energy dependent solution for low (or high) partial waves is imposed and only the high (or low) partial waves are fitted leading to smaller uncertainties.

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“…For the case of a two-pseudoscalar final state, this decomposition into amplitudes is not unique [11,12]. The eight ambiguous solutions are calculated from the result of one single fit result in each mass bin via the method of Barrelet zeroes [13].…”

Section: -2mentioning

confidence: 99%

Light scalar mesons in central production at COMPASS

Austregesilo¹

2016

AIP Conference Proceedings

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Abstract. COMPASS is a fixed-target experiment at the CERN SPS that studies the spectrum of light-quark hadrons. In 2009, it collected a large dataset using a 190 GeV/c positive hadron beam impinging on a liquid-hydrogen target in order to measure the central exclusive production of light scalar mesons. One of the goals is the search for so-called glueballs, which are hypothetical meson-like objects without valence-quark content. We study the decay of neutral resonances by selecting centrally produced pion pairs from the COMPASS dataset. The angular distributions of the two pseudoscalar mesons are decomposed in terms of partial waves, where particular attention is paid to the inherent mathematical ambiguities. The large dataset allows us to perform a detailed analysis in bins of the two squared four-momentum transfers carried by the exchange particles in the reaction. Possible parameterisations of the mass dependence of the partial-wave amplitudes in terms of resonances are also discussed.

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Ambiguities of complex phase-shift analysis

Cited by 97 publications

References 4 publications

The complete-experiment problem of photoproduction of pseudoscalar mesons in a truncated partial-wave analysis

The complete-experiment problem of photoproduction of pseudoscalar mesons in a truncated partial-wave analysis

Study of ambiguities in π−p → ΛK0 scattering amplitudes

Light scalar mesons in central production at COMPASS

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