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Gaulard, C.; Riedel, C.; Comfort, J.R.; Amann, J. F.; Beddo, M. E.; Boudrie, R. L.; Burleson, G. R.; Cole, P. L.; Craig, K.; Espy, Michelle A.; Isenhower, L.; Kasprzyk, T.; Knight, Kathryn; Morris, C. L.; Penttilä, S. I.; Rigsby, D.; Sadler, M. E.; Six, E.; Spinka, H.; Supek, I.; Wagner, Gerhard; Zhao, Qihua

doi:10.1103/physrevc.60.024604

Cited by 6 publications

(4 citation statements)

References 36 publications

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“…The analysing-power measurements of Refs. [52,53] are reproduced well. With the exception of the data set at 45.6 MeV, the indirect data of Refs.…”

Section: Results For the Threshold Quantities And Hadronic Phase Shiftsmentioning

confidence: 62%

“…c) There is a measurement of the total cross section for the CX reaction at 90.9 MeV from the experiment of BUGG71[51]. d) Finally, there are measurements of the analysing power at 100 MeV (STAŠKO93[52]) and 98.1 MeV (GAULARD99[53]). In cases (c) and (d) above, the energy used was high; additionally, in case (d), the sensitivity of the analysing power to the effect being investigated in this section is questionable.…”

mentioning

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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“…The analysing-power measurements of Refs. [52,53] are reproduced well. With the exception of the data set at 45.6 MeV, the indirect data of Refs.…”

Section: Results For the Threshold Quantities And Hadronic Phase Shiftsmentioning

confidence: 62%

mentioning

confidence: 99%

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

“…On average, the normalisation uncertainties of AP datasets are smaller than those of DCS datasets, and are dominated by the uncertainty in the target polarisation (which is usually around 3 %). Unfortunately, very few low-energy measurements of the π − p CX AP (a mere ten datapoints) are available at the present time [10,11]; furthermore, these measurements had been acquired close to the maximal T value allowed in our analyses, i.e., in a kinematical region which, according to Fig. 2, is not at all promising in connection with the hypothesis testing proposed in this work.…”

Section: Resultsmentioning

confidence: 87%

“…4. The two predictions disagree regarding the T position of the minimum: prediction A places it at T = 42.21 (11) MeV; prediction B favours T = 44.33(14) MeV. (This difference of about 2 MeV was first addressed in Ref.…”

Section: Resultsmentioning

confidence: 98%

Proposals for the test of the isospin invariance in the pion-nucleon interaction at low energy

Matsinos,

Rasche

2020

Preprint

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This work elaborates on former remarks of ours regarding two sets of predictions for the observables of the charge-exchange reaction π − p → π 0 n at low energy (pion laboratory kinetic energy T ≤ 100 MeV). The first prediction is obtained via the triangle identity from the results of fits to low-energy π ± p elastic-scattering data, whereas the second is based on the same analysis of the combined low-energy π + p and charge-exchange databases. Assuming the integrity of the data used in our fits (i.e., the absence of significant systematic effects in the determination of the absolute normalisation of the datasets) and the insignificance of residual effects in the electromagnetic corrections, a significant difference between these two sets of predictions may be interpreted as departure from the isospin invariance in the low-energy πN interaction. We examine the sensitivity of the standard low-energy observables to the effect, and identify the kinematical regions which are promising for experimental survey. Accurate experiments under the suggested conditions will differentiate between the predictions, and thus provide an independent test of the isospin invariance in the low-energy πN interaction.

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