<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>cross sections near threshold

Kermani, M.; Патаракин, О.О.; Smith, G. R.; Amaudruz, P.; Bonutti, Faustino; Camerini, P.; Felawka, L.; Fragiacomo, E.; Gibson, E. F.; Grion, N.; Mathie, E. L.; McFarland, S.; Meier, R.; Ottewell, D.; Raywood, K.; Rui, R.; Sevior, M. E.; Tacik, R.; Mayorov, V.; Tikhonov, V. N.

doi:10.1103/physrevc.58.3431

Cited by 17 publications

(8 citation statements)

References 35 publications

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“…In that way, we can predict the angular correlation functions of ref. [49], the new TRIUMF data [14] and the total cross sections for T π > 250 MeV. In these fits, we have found almost perfect anticorrelations between the values of the LECsd 10 andd 12 as well asd 9 andd 11 .…”

Section: The Fitting Proceduresmentioning

confidence: 59%

“…A similar trend is observed for the differential cross sections dσ/dt (at T π = 220, 240 MeV) , which have been used in ref. [14] to extract a 0 0 by Chew-Low techniques. Our analysis tends to support the finding of ref.…”

Section: Predictions Further Results and Discussionmentioning

confidence: 99%

“…Previous investigations seem to indicate that a better method to access the ππ interaction is the use of Chew-Low techniques (see e.g. [14]) rather than a direct use of the chirally expanded ππN threshold amplitudes (see e.g. refs.…”

Section: Short Review Of Existing Calculations and Objectivesmentioning

confidence: 99%

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One-loop analysis of the reaction πN→ππN

2000

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Single pion production off nucleons is studied in the framework of heavy baryon chiral perturbation theory to third order in the chiral expansion. Using total and some older differential cross section data to pin down the low-energy constants, most of the recent differential cross sections and angular correlation functions can be described as well as total cross sections at higher energies. We show that the contributions from the one loop graphs are essentially negligible and that the dominant terms at second and third order are related to pion-nucleon scattering graphs with one pion added. We also discuss the possibility of extracting the pion-pion S-wave scattering lengths from the unpolarized data.

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Section: The Fitting Proceduresmentioning

confidence: 59%

Section: Predictions Further Results and Discussionmentioning

confidence: 99%

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One-loop analysis of the reaction πN→ππN

2000

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“…This complete work had great impact on resonance parametrizations used in various transport models (GiBUU [15,16] and UrQMD [17]). Since then new experimental data became available in the π − p → π 0 π 0 n channel from the Crystal Ball collaboration (349 611 events at the energy range W = 1213-1527 GeV [18]) and in the π − p → π + π − n channel from the CHAOS collaboration (20 kevents, low energies, W = 1257-1302 GeV, [19]) and from ITEP (40 kevents, high energy W = 2060 GeV [20]). The database for π + π − in the energy range W = 1.3-2.0 GeV remains scarce and often lack differential distributions.…”

Section: World Pion-beam Datamentioning

confidence: 99%

Production and decay of baryonic resonances in pion induced reactions

Przygoda

2016

EPJ Web Conf.

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Abstract. Pion induced reactions give unique opportunities for an unambiguous description of baryonic resonances and their coupling channels. A systematic energy scan and high precision data, in conjunction with a partial wave analysis, allow for the study of the excitation function of the various contributions. A review of available world data unravels strong need for modern facilities delivering measurements with a pion beam. Recently, HADES collaboration collected data in pion-induced reactions on light ( 12 C) and heavy ( 74 W) nuclei at a beam momentum of 1.7 GeV/c dedicated to strangeness production. Probing baryon resonancesOne of the key issues in the research of nature over the years was the investigation of baryon resonances, i.e. short-lived excited states of nucleons. From experimental point of view a resonance manifests as a peak located around a certain energy in differential cross section. Its composite nature is probed in scattering experiments and is characterized not only by the complex pole position of the scattering amplitude but also by the couplings to the various channels and hence decay branching ratios. Particularly the important region of 1-2 GeV is occupied by light-flavoured baryons. Such baryons are built out of three quarks (u, d, s) with possible spin either 1/2 or 3/2. Accounting for orbital motion, a supermutiplet SU (6) ) lies in the fact that missing states can couple weakly to the Nπ channel, which is a predominant source of knowledge about baryon properties. Additional difficulty stems from the fact that resonance spectral functions are usually quite broad and various resonances overlap. This challenge triggered great experimental effort resulting in collection of high precision and quality data in meson photo-and electroproduction [6]. In contrary

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“…(127). The π ± p → π ± π + n reactions require an extrapolation to the pion pole to extract the ππ amplitude and are thus regarded to contain more model dependence, a 0 0 = 0.204 ± 0.014 (stat) ± 0.008 (syst) [Kermani et al, 1998]. The DIRAC Collaboration [Adeva et al, 2005] makes use of a lifetime measurement of pionium to extract |a 0 0 − a 2 0 | = 0.264 +0.033 −0.020 .…”

Section: Two Simple Applications: Pion Decay and ππ Scatteringmentioning

confidence: 99%