The reaction πN → ππN above threshold in chiral perturbation theory

Bernard, Véronique; Kaiser, Norbert; Meißner, Ulf‐G.

doi:10.1016/s0375-9474(97)00159-0

Cited by 36 publications

(39 citation statements)

References 49 publications

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“…There are several studies of the πN → 2πN reaction within the chiral perturbation theory [38][39][40][41]. In general the chiral calculations in the heavy baryon limit demonstrate a nice agreement with experiment in the low energy region.…”

Section: Overview Of the πN → 2πn Reactionmentioning

confidence: 85%

2πproduction in the Giessen coupled-channels model

2016

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The coupled channels Lagrangian approach underlying the Giessen model (GiM) is extended to describe the πN → πN , 2πN scattering in the resonance energy region. As a feasibility study we investigate single and double pion production up to the second resonance region. The 2πN production has been significantly improved by using the isobar approximation with σN and π∆(1232) in the intermediate state. The three-body unitarity is maintained up to interference pattern between the isobar subchannels. The scattering amplitudes are obtained as a solution of the Bethe-Salpeter equation in the K matrix approximation. As a first application we perform a partial wave analysis of the πN → πN , π 0 π 0 N reactions in the Roper resonance region. We obtain R σN (1440) = 27 +4 −9 % and R π∆ (1440) = 12 +5 −3 % for the σN and π∆(1232) decay branching ratios of N * (1440) respectively. The extracted πN inelasticities and reaction amplitudes are consistent with the results from other groups.

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Section: Overview Of the πN → 2πn Reactionmentioning

confidence: 85%

2πproduction in the Giessen coupled-channels model

2016

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“…[33] single pion production off nucleons from threshold up to the delta resonance region, extending earlier ChPT studies from Refs. [34][35][36][37]. With three pions in the initial and final states, the theoretical study of this process provides complimentary information to elastic scattering and offers access to certain LECs which are not probed in the reaction πN → πN.…”

Section: The Reaction πN → ππNmentioning

confidence: 99%

Chiral dynamics of/with unstable particles

2017

Self Cite

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“…Now the improved formulae take into account the next-to-leading order terms of the Chiral πN Lagrangian [61,11]. The series of papers [12,57,13] deals with various schemes of accounting the above terms in the framework of ChPT and/or Heavy Baryon ChPT and gives the predictions for the nonrelativistic quantities D 1 and D 2 which up to a factor coincide with the discussed above threshold amplitudes A 0 and B 0 :…”

Section: Account Of Nonope Contributionsmentioning

confidence: 99%

“…We also quote here the predictions of papers [12,57,13] and the results ALL and TRI of the linear fit from the Table 7 for an easy comparison. The underestimate of the D 2 value by the linear fits ALL and TRI is due to the pointed above tangible departure of the {− + n} channel's solution from the linear pattern.…”

Section: Account Of Nonope Contributionsmentioning

confidence: 99%

Phenomenological πN→ππN amplitude and analysis of low energy data on total cross sections and 1--D distributions

Bolokhov

Polyakov²,

Sherman³

1998

EPJ A

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We develop the phenomenological amplitude of the πN → ππN reaction describing the exchanges of ∆ and N * along with the OPE mechanism. The contribution of the latter contains 4 independent low energy parameters (up to O(k 4 ) order). The terms of the polynomial background are added to stand for far resonances and for contact terms originating from the off-mass-shell interactions. These terms are introduced with the account of isotopic, crossing, C, P and T symmetries of strong interactions.The data consisting of total cross sections in the energy region 0.300 ≤ P Lab ≤ 500 MeV/c and 1D distributions from the bubble-chamber experiments for three reaction channels were undergoing fittings to determine free parameters of the amplitude. The best solutions are characterized by χ 2 DF = 1.16. At the considered energies the isobar exchanges are found to be more important than OPE. The obtained solutions reveal the need in more precise data and/or in polarization measurements because of large correlations of isobar parameters with the OPE ones.The theoretical solutions were used for modeling the Chew-Low extrapolation and the Olsson-Turner threshold approach. It is shown that the noncritical application of the former results in 100% theoretical errors, the extracted values being in fact the random numbers. The results of the Olsson-Turner method are characterized by significant systematic errors coming from unknown details of isobar physics. Sankt-Petersburg 1997

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The reaction πN → ππN above threshold in chiral perturbation theory

Cited by 36 publications

References 49 publications

2πproduction in the Giessen coupled-channels model

2πproduction in the Giessen coupled-channels model

Chiral dynamics of/with unstable particles

Phenomenological πN→ππN amplitude and analysis of low energy data on total cross sections and 1--D distributions

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