Measurement of the<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>analyzing power at 68.3 MeV

Wieser, R.; Denig, A.; Hagel, U. von; Joram, C.; Kluge, W.; Andermann, R.; Bilger, R.; Clement, H.; Föhl, K.; Heitlinger, K.; Wagner, G.; Brandt, B. van den; Hautle, P.; Konter, A.; Mango, S.; Ковалев, А. И.

doi:10.1103/physrevc.54.1930

Cited by 14 publications

(22 citation statements)

References 20 publications

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“…, 8 in our expressions. If we set in (12) all baryon masses to their chiral-limit common value M χ , expand the Dirac spinors u ′ (p ′ , σ ′ ) and u(p, σ) into their upper and lower components, and change the flavor basis to the Gell-Mann basis, we recover the tree-level amplitudes of [25]. Furthermore, for those flavor coefficients considered in [26,27] we find full numerical agreement with their tabulated values.…”

Section: Tree-level Amplitudesmentioning

confidence: 54%

“…resp., evaluated at tree level. They are given by (12), with the appropriate changes in flavor, momentum, and spin variables. With (11) and (14), we can rewrite (13) in the more compact form…”

Section: One-loop Absorptive Partsmentioning

confidence: 99%

“…There exists, for instance, a substantial body of data on analyzing powers in nucleon-pion scattering at energies around the ∆ resonance peak (see [9,10,11] and refs. therein), and at lower energies [12,13]. In the strange sector data on spin observables at low energies are definitely rare, though some exist [14].…”

Section: Introductionmentioning

confidence: 99%

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Absorptive Part of Meson–baryon Scattering Amplitude and Baryon Polarization in Chiral Perturbation Theory

Bouzas

2008

Int. J. Mod. Phys. E

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We compute the spin asymmetry and polarization of the final-state baryon in its rest frame in twobody meson-baryon low-energy scattering with unpolarized initial state, to lowest non-trivial order in BChPT. The required absorptive amplitudes are obtained analytically at one-loop level. We discuss the polarization results numerically for several meson-baryon processes. Even at low energies above threshold, where BChPT can reasonably be expected to be applicable, sizable values of polarization are found for some processes. *

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Section: Tree-level Amplitudesmentioning

confidence: 54%

Section: One-loop Absorptive Partsmentioning

confidence: 99%

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Absorptive Part of Meson–baryon Scattering Amplitude and Baryon Polarization in Chiral Perturbation Theory

Bouzas

2008

Int. J. Mod. Phys. E

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“…The current results are compared with predictions of the KH80 [3] and SAID [21] phase shift analyses and with previous data [17] in Fig. 3.…”

Section: Resultsmentioning

confidence: 76%

“…They could also help to resolve contradictions in the cross section data base. Until recently, only one set of analyzing powers at one π + energy was available below 98 MeV [17], largely due to experimental difficulties. Since then, π − p analyzing powers have been measured down to 57 MeV [18] by the CHAOS collaboration at TRIUMF.…”

Section: Motivationmentioning

confidence: 99%

Low energy analyzing powers in pion–proton elastic scattering

et al. 2004

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Analyzing powers of pion-proton elastic scattering have been measured at PSI with the Low Energy Pion Spectrometer LEPS as well as a novel polarized scintillator target. Angular distributions between 40 and 120 deg (c.m.) were taken at 45.2, 51.2, 57.2, 68.5, 77.2, and 87.2 MeV incoming pion kinetic energy for π + p scattering, and at 67.3 and 87.2 MeV for π − p scattering. These new measurements constitute a substantial extension of the polarization data base at low energies. Predictions from phase shift analyses are compared with the experimental results, and deviations are observed at low energies.

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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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Measurement of theπ+p→analyzing power at 68.3 MeV

Cited by 14 publications

References 20 publications

Absorptive Part of Meson–baryon Scattering Amplitude and Baryon Polarization in Chiral Perturbation Theory

Absorptive Part of Meson–baryon Scattering Amplitude and Baryon Polarization in Chiral Perturbation Theory

Low energy analyzing powers in pion–proton elastic scattering

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

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