Analysis of data on low energy πN → ππN reaction I. Total cross sections

Vereshagin, V.; Sherman, S.G.; Manashov, A. N.; Bohnert, U.; Dillig, M.; Eyrich, W.; Jäkel, Oliver; Moosburger, M.

doi:10.1016/0375-9474(95)00216-n

Cited by 18 publications

(20 citation statements)

References 42 publications

(32 reference statements)

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“…[2,3]. On the other hand, many types of interactions including the π∆∆ and ρN∆ interactions are considered in the global fits [8,9], but their individual roles in each channel of the πN → ππN reaction are not discussed. The π∆∆ and ρN∆ interactions still remain controversial in contrast to the well known πN∆ interaction.…”

Section: Introductionmentioning

confidence: 99%

Δ(1232)inπN→ππNreaction

Kammano

Masaki

2004

Phys. Rev. C

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The contribution of ∆(1232) to the πN → ππN reaction is examined by making use of the chiral reduction formula developed by Yamagishi and Zahed. The influence of the π∆∆ and ρN ∆ interactions on this reaction, which has not been regarded as important so far, is considered for all channels with the initial π ± p states. The total cross sections are calculated to tree level for the energy up to T π = 400 MeV. Although the π∆∆ and ρN ∆ interactions give a small effect on the π + p → π + π + n, π − p → π + π − n, and π − p → π 0 π 0 n channels, the π ± p → π ± π 0 p channels are found to be sensitive to these interactions.

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Section: Introductionmentioning

confidence: 99%

Δ(1232)inπN→ππNreaction

Kammano

Masaki

2004

Phys. Rev. C

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“…(11), χ 2 ππN is defined analogously and includes the pion-production total cross section data up to the maximal energy of T π < 350 MeV as well as double-differential cross section data at T π = 200 MeV and T π = 230 MeV. The total cross sections are taken from the compilation [42] and from Refs. [43][44][45], whereas the doubledifferential cross sections with respect to 2 and the pion kinetic energy [46].…”

Section: B Constraints From the Reaction π N → ππ Nmentioning

confidence: 99%

Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory

et al. 2017

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We extend our previous study of elastic pion-nucleon scattering in the framework of chiral perturbation theory by performing a combined analysis of the reactions πN → πN and πN → ππN. The calculation is carried out to fourth order in the chiral expansion using the heavy-baryon approach and the covariant formulation supplemented with a modified version of the extended on-mass-shell renormalization scheme. We demonstrate that a combined fit to experimental data in both channels leads to a reduced amount of correlations between the low-energy constants. A satisfactory description of the experimental data in both channels is obtained, which is further improved upon including tree-level contributions of the (1232) resonance. We also explore a possibility of using the empirical information about πN subthreshold parameters obtained recently by means of the Roy-Steiner equations to stabilize the fits.

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“…For the fitting procedure, only the total cross section data were used, which are taken from the compilation [47] and from [48] and [49]. The χ 2 is given by the square of the difference between our calculated values of the total cross section and the experimental central values divided by the squared errors on the latter.…”

Section: Observablesmentioning

confidence: 99%

The reactionπN→ππNin chiral effective field theory with explicitΔ(1232)degrees of freedom

et al. 2014

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The reaction πN → ππN is studied at tree level up to next-to-leading order in the framework of manifestly covariant baryon chiral perturbation theory with explicit ∆(1232) degrees of freedom. Using total cross section data to determine the relevant low-energy constants, predictions are made for various differential as well as total cross sections at higher energies. A detailed comparison of results based on the heavy-baryon and relativistic formulations of chiral perturbation theory with and without explicit ∆ degrees of freedom is given.

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Analysis of data on low energy πN → ππN reaction I. Total cross sections

Cited by 18 publications

References 42 publications

Δ(1232)inπN→ππNreaction

Δ(1232)inπN→ππNreaction

Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory

The reactionπN→ππNin chiral effective field theory with explicitΔ(1232)degrees of freedom

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