π+p scattering below 100 MeV

Bertin, P.Y.; Coupat, B.; Hivernat, A.; Isabelle, D.B.; Duclos, J.; Gérard, A.; Miller, J.; Morgenstern, J.; Picard, J.; Vernin, P.; Powers, R. J.

doi:10.1016/0550-3213(76)90383-7

Cited by 13 publications

(9 citation statements)

References 19 publications

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“…Prior to their incorporation into a self-consistent set of data, the self-consistency of these measurements (as well as their compatibility with the established database) must be verified; in Ref. [ [29] are obvious outliers in all exclusive analyses of the lowenergy data; when using "traditional" statistics, the inclusion of these values in a PSA is bound to introduce spurious effects (e.g., drifting of the parameters during the optimisation, entrapment of the minimisation algorithms in local minima, failing fits, etc.). We will further comment on these data in Section 3.…”

Section: Resultsmentioning

confidence: 99%

“…We will now comment on the reproduction of the old measurements of Ref. [29], which are "traditionally" considered outliers in almost all modern PSAs. Reported in Ref.…”

Section: Reproduction Of the Bertin76 Measurementsmentioning

confidence: 99%

“…Reported in Ref. [29] were DCS measurements obtained in a broad angular interval, at seven beam energies (20.80, 30.50, 39.50, 51.50, 67.40, 81.70, and 95.90 MeV). The experimental group did not report any normalisation uncertainties for their measurements; it cannot be excluded that, at those times, the absolute normalisation was not seriously investigated in the experiments.…”

Section: Reproduction Of the Bertin76 Measurementsmentioning

confidence: 99%

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Analysis of the Low-Energy π<sup>±</sup>p Elastic-Scattering Data

Matsinos¹,

Rasche²

2012

JMP

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We report the results of a phase-shift analysis (PSA) of the low-energy elastic-scattering data. Following the method which we had set forth in our previous PSA [1], we first investigate the self-consistency of the low-energy elastic-scattering databases, via two separate analyses of (first) the and (subsequently) the elasticscattering data. There are two main differences to our previous PSA: 1) we now perform only one test for the acceptance of each data set (based on its contribution to the overall π p  π p  π p  π p  2 ) and 2) we adopt a more stringent acceptance criterion in the statistical tests. We show that it is possible to obtain self-consistent databases after removing a very small amount of the data (4.57% of the initial database). We subsequently fit the ETH model [38] to the truncated elastic-scattering databases. The model-parameter values show reasonable stability when subjected to different criteria for the rejection of single data points and entire data sets. Our result for the pseudovector coupling constant is. We extract the scattering lengths and volumes, as well as the sand p-wave hadronic phase shifts up to T = 100 MeV. Large differences in the s-wave part of the interaction can be seen when comparing our hadronic phase shifts with the current SAID solution (WI08); there is general agreement in the p waves, save for the π p

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Section: Resultsmentioning

confidence: 99%

“…We will now comment on the reproduction of the old measurements of Ref. [29], which are "traditionally" considered outliers in almost all modern PSAs. Reported in Ref.…”

Section: Reproduction Of the Bertin76 Measurementsmentioning

confidence: 99%

Section: Reproduction Of the Bertin76 Measurementsmentioning

confidence: 99%

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Analysis of the Low-Energy π<sup>±</sup>p Elastic-Scattering Data

Matsinos¹,

Rasche²

2012

JMP

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“…To start with, very few low-energy data were available at the time when that analysis was performed. The trouble unfolds as one notices that, in the lowenergy region, the analysis entirely relied on the π + p DCSs of Bertin and collaborators [12]. These seven data sets, each comprising ten measurements, have been criticised in all modern analyses of the πN data; they prominently stand out from the bulk of the measurements 5 .…”

Section: Early Determinationsmentioning

confidence: 99%

A brief history of the pion-nucleon coupling constant

Matsinos

2019

Preprint

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This work provides a brief history of determinations of the pion-nucleon (πN ) coupling constant from πN and N N data. From robust analyses of twenty reported values of the charged-pion coupling constant, exhibiting sizeable fluctuation, the result f 2 c = 762.9 +6.5 −6.2 • 10 −4 is obtained. Similar values are extracted for the other two πN coupling constants, f 2 0 and f 2 p , from fewer data. The average values of the various πN coupling constants, extracted in this work, suggest no splitting, in agreement with the thesis of the Nijmegen group. Additional analysis of the f 2 c and f 2 0 values, both reported in four studies, turned to be inconclusive: one of these studies suggests that f 0 < f c , whereas another slightly favours f 0 > f c ; no significant splitting effects are observed in the other two studies. The analysis of the low-energy πN data with the ETH model indicates significant splitting and, under certain conditions, it implies that f 0 > f c . Also discussed in the paper are the electromagnetic corrections, which need to be applied to the strong shift and to the total decay width of the ground state of pionic hydrogen in order that estimates for the hadronic s-wave πN scattering lengths be obtained; this is a relevant subject as f 2 c may be extracted from the isovector scattering length by use of the Goldberger-Miyazawa-Oehme sum rule. Regarding the removal of the electromagnetic effects in the πN system at threshold, my opinion is that Theory must find a way to provide reliable and accurate corrections, matching the level of accuracy of the experimental results.

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“…The X 2 for the predictions and these 42 measurements is 44. Finally, recent measure- [4][5][6][7][8][9][10][11][12][13][14][15] ments of the T total cross sections by Pedroni et al are compared with the predictions of SCATPI. The TT p total cross sections in Fig.…”

Section: Computational Schemementioning

confidence: 99%

SCATPI, a subroutine for calculating. pi. N cross sections and polarizations for incident pion kinetic energies between 90 and 300 MeV. [In FORTRAN for CDC 6600 and 7600 and Xerox Sigma 7]

Walter¹,

Rebka²

1979

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A subroutine, SCATPI, has been written which calculates T + p and ~~p elastic differential cross sections for incident pion kinetic energies between 90 and 310 MeV for -+ p and 88 and 290 MeV for -n~p. The calculation is based upon the phase shift analysis of Carter, Bugg/and Carter, and is reliable to about 2% for TT + P and 'M for ~~p differential cross sections. SCATPI also calculates other scattering parameters for the TT ± P systems. The calculations are compared with the measurements used in the phase shift analysis, and with selected recent measurements. The use of SCATPI is described. I.

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π+p scattering below 100 MeV

Cited by 13 publications

References 19 publications

Analysis of the Low-Energy π<sup>±</sup>p Elastic-Scattering Data

Analysis of the Low-Energy π<sup>±</sup>p Elastic-Scattering Data

A brief history of the pion-nucleon coupling constant

SCATPI, a subroutine for calculating. pi. N cross sections and polarizations for incident pion kinetic energies between 90 and 300 MeV. [In FORTRAN for CDC 6600 and 7600 and Xerox Sigma 7]

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π+p scattering below 100 MeV

Cited by 13 publications

References 19 publications

Analysis of the Low-Energy π&lt;sup&gt;&#177;&lt;/sup&gt;p Elastic-Scattering Data

Analysis of the Low-Energy π&lt;sup&gt;&#177;&lt;/sup&gt;p Elastic-Scattering Data

A brief history of the pion-nucleon coupling constant

SCATPI, a subroutine for calculating. pi. N cross sections and polarizations for incident pion kinetic energies between 90 and 300 MeV. [In FORTRAN for CDC 6600 and 7600 and Xerox Sigma 7]

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Product

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Analysis of the Low-Energy π<sup>±</sup>p Elastic-Scattering Data

Analysis of the Low-Energy π<sup>±</sup>p Elastic-Scattering Data