Absolute differential cross sections for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">π</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math><i>p</i>elastic scattering at 30≤<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">π</mml:mi></mml:mro

Ristinen, R.A.; Kraushaar, J.J.; Loveman, R. A.; Peterson, R. J.; Smith, G. R.; Gill, D. R.; Ottewell, D.; Sevior, M. E.; Trelle, R.P.; Mathie, E. L.; Grion, N.; Rui, R.

doi:10.1103/physrevc.41.2202

Cited by 34 publications

(21 citation statements)

References 12 publications

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“…Such points were then removed (one at a time) and the analysis was repeated after each removal. In the case of two data sets (BRACK90 [21] at 66.8 MeV and JORAM95 [23] at 32.7 MeV), the p-value was still below p min after the removal of two points; these two sets (with 11 points and 7 points, respectively) were removed from the database. The two removed sets have extremely low p-values and stand out dramatically from the rest of the π + p data.…”

Section: The Statistical Methods and The Identification Of Outliersmentioning

confidence: 99%

“…The π − p database was subjected to the same tests of the shape and normalisation of the data sets. In this case, only one data set (BRACK90 [21] needed to be freely floated because of poor normalisation was that of WIED-NER89. The truncated database for π − p elastic scattering finally consisted of 35 data sets with 328 degrees of freedom (see Table 2).…”

Section: The Statistical Methods and The Identification Of Outliersmentioning

confidence: 99%

“…[3], while the quantitiesη 1 ,η 3 and η 13 , appearing in the correction terms in Eqs. (16) and (21) and taking account of the presence of the γn channel, are found in Table IV of the same reference. In fact, the factors Z are of minor interest only; we have mentioned them for completeness.…”

Section: Formalismmentioning

confidence: 99%

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Phase-shift analysis of low-energy elastic-scattering data

Matsinos¹,

Woolcock²,

Oades³

et al. 2006

Nuclear Physics A

140

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Using electromagnetic corrections previously calculated by means of a potential model, we have made a phase-shift analysis of the π ± p elastic-scattering data up to a pion laboratory kinetic energy of 100 MeV. The hadronic interaction was assumed to be isospin invariant. We found that it was possible to obtain self-consistent databases by removing very few measurements. A pion-nucleon model, based on sand u-channel diagrams with N and ∆ in the intermediate states, and σ and ρ t-channel exchanges, was fitted to the elastic-scattering database obtained after the removal of the outliers. The model-parameter values showed an impressive stability when the database was subjected to different criteria for the rejection of experiments. Our result for the pseudovector πN N coupling constant (in the standard form) is 0.0733 ± 0.0014. The six hadronic phase shifts up to 100 MeV are given in tabulated form. We also give the values of the s-wave scattering lengths and the p-wave scattering volumes. Big differences in the s-wave part of the interaction were observed when comparing our hadronic phase shifts with those of the current GWU solution. We demonstrate that the hadronic phase shifts obtained from the analysis of the elastic-scattering data cannot reproduce the measurements of the π − p charge-exchange reaction, thus corroborating past evidence that the hadronic interaction violates isospin invariance. Assuming the validity of the result obtained Preprint submitted to Elsevier Science within the framework of chiral perturbation theory, that the mass difference between the u-and the d-quark has only a very small effect on the isospin invariance of the purely hadronic interaction, the isospin-invariance violation revealed by the data must arise from the fact that we are dealing with a hadronic interaction which still contains residual effects of electromagnetic origin. PACS: 13.75.Gx; 25.80.Dj; 25.80.Gn

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Section: The Statistical Methods and The Identification Of Outliersmentioning

confidence: 99%

Section: The Statistical Methods and The Identification Of Outliersmentioning

confidence: 99%

See 1 more Smart Citation

Phase-shift analysis of low-energy elastic-scattering data

Matsinos¹,

Woolcock²,

Oades³

et al. 2006

Nuclear Physics A

140

View full text Add to dashboard Cite

show abstract

“…1. The experimental data (black error bars) are taken from the SAID/GWU data base [45,46] with normalizations ζ k from Table 3 extracted from the data fit; the two panels include the data from [61,62] (top) and [66,70,72,73] (bottom). Green crosses refer to the RS representation in (11) with the scattering lengths from the fit solution in Table 2.…”

Section: Consequences For the Pion-nucleon σ-Termmentioning

confidence: 99%

Extracting the σ-term from low-energy pion-nucleon scattering

Elvira

Hoferichter

Kubis³

et al. 2017

J. Phys. G: Nucl. Part. Phys.

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Abstract. We present an extraction of the pion-nucleon (πN ) scattering lengths from low-energy πN scattering, by fitting a representation based on RoySteiner equations to the low-energy data base. We show that the resulting values confirm the scattering-length determination from pionic atoms, and discuss the stability of the fit results regarding electromagnetic corrections and experimental normalization uncertainties in detail. Our results provide further evidence for a large πN σ-term, σ πN = 58(5) MeV, in agreement with, albeit less precise than, the determination from pionic atoms.

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“…Brack The data from J. Brack et al [6,7] seem to be of high quality. The smallest errors are (in general) those quoted in this work, which contains 62 data points for scattering of π + and π − at 29.4, 45.0, 66.8 and 86.8 MeV.…”

Section: Datamentioning

confidence: 99%

Low-energy pion-nucleon scattering

Gibbs

Kaufmann

1998

Phys. Rev. C

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An analysis of low-energy charged pion-nucleon data from recent π ± p experiments is presented. From the scattering lengths and the GMO sum rule we find a value of the pion-nucleon coupling constant of f 2 = 0.0764 ± 0.0007. We also find, contrary to most previous analyses, that the scattering volumes for the P31 and P13 partial waves are equal, within errors, corresponding to a symmetry found in the hamiltonian of many theories. For the potential models used, the amplitudes are extrapolated into the subthreshold region to estimate the value of the Σ-term. Off-shell amplitudes are also provided.

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Absolute differential cross sections forπ±pelastic scattering at 30≤Tπ

Cited by 34 publications

References 12 publications

Phase-shift analysis of low-energy elastic-scattering data

Phase-shift analysis of low-energy elastic-scattering data

Extracting the σ-term from low-energy pion-nucleon scattering

Low-energy pion-nucleon scattering

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