Cross Section for $\gamma n \to \pi^0 n$ measured at Mainz/A2

The A2 collaboration Briscoe, W.J. ; Hadžimehmedović, M. ; Kudryavtsev, A.E. ; et al.
Phys.Rev.C 100 (2019) 065205, 2019.
Inspire Record 1748263 DOI 10.17182/hepdata.116236

The $\gamma n \to \pi^0 n$ differential cross section evaluated for 27 energy bins span the photon-energy range 290-813 MeV (W = 1.195-1.553 GeV) and the pion c.m. polar production angles, ranging from 18 deg to 162 deg, making use of model-dependent nuclear corrections to extract pi0 production data on the neutron from measurements on the deuteron target. Additionally, the total photoabsorption cross section was measured. The tagged photon beam produced by the 883-MeV electron beam of the Mainz Microtron MAMI was used for the 0-meson production. Our accumulation of 3.6 x 10^6 $\gamma n \to \pi^0 n$ events allowed a detailed study of the reaction dynamics. Our data are in reasonable agreement with previous A2 measurements and extend them to lower energies. The data are compared to predictions of previous SAID, MAID, and BnGa partial-wave analyses and to the latest SAID fit MA19 that included our data. Selected photon decay amplitudes $N^* \to \gamma n$ at the resonance poles are determined for the first time.

21 data tables

Excitation function at pion c.m. angle THETA=18 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=32 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

Excitation function at pion c.m. angle THETA=41 deg as function of incident photon energy E. The uncertainties are statistical and systematic, combined in quadrature.

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Measurement of small angle elastic scattering of pions and protons by nuclei

Blieden, H.R. ; Finocchiaro, G. ; Goldhaber, A.S. ; et al.
Phys.Rev.D 11 (1975) 14, 1975.
Inspire Record 90186 DOI 10.17182/hepdata.4892

Targets made of C, Al, Cu, Pb, and U were exposed to π+, π−, and proton beams of 9.92 and 19.85 GeV/c (for p-Pb only) at the Brookhaven AGS. A magnetic spectrometer with spark chambers was used to detect elastically scattered particles in the Coulomb-nuclear interference region (5-35 mrad). Differential cross sections are presented and compared with an optical model, taking full account of multiple scattering in the target.

15 data tables

X ERROR TARG.THICKN. = 0.10 RAD.LENGTH. X ERROR D(THETA) = 0.3000 MRAD.

X ERROR TARG.THICKN. = 0.10 RAD.LENGTH. X ERROR D(THETA) = 0.3000 MRAD.

X ERROR TARG.THICKN. = 0.10 RAD.LENGTH. X ERROR D(THETA) = 0.3000 MRAD.

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K- p Cross-Sections Between 1.1-GeV/c and 1.4-GeV/c

Griselin, J. ; Givernaud, A. ; Barloutaud, R. ; et al.
Nucl.Phys.B 93 (1975) 189-216, 1975.
Inspire Record 99412 DOI 10.17182/hepdata.6708

K − p reactions have been studied at 13 different incident momenta between 1138 and 1434 MeV/ c . This interval corresponds to a mass of the K − p system varying from 1858 to 1993 MeV. About 300 000 photographs were taken in the 81 cm Saclay hydrogen bubble chamber exposed to a separated K − beam at the CERN proton-synchrotron. A total of about 44 000 events were analyzed, from which partial and differential cross sections were determined. Polarizations were obtained for the two-body reactions where the decay of the Λ or Σ hyperon allowed their measurement. Data for the two-body channels are presented here as well as for the main quasi-two-body reactions.

9 data tables

PARTIAL CROSS SECTIONS. DATA AT 1.305 TO 1.434 GEV/C FOR FINAL STATES K- P, K- P PI0 AND K- N PI+ COME FROM THE HAIFA GROUP, S. DADO ET AL.

No description provided.

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An Improved Measurement of Electroweak Couplings From $e^+ e^- \to e^+ e^-$ and $e^+ e^- \to \mu^+ \mu^-$

The TASSO collaboration Althoff, M. ; Braunschweig, W. ; Kirschfink, F.J. ; et al.
Z.Phys.C 22 (1984) 13, 1984.
Inspire Record 193787 DOI 10.17182/hepdata.2111

We present an analysis of electroweak leptonic couplings from high statistics experiments on Bhabha scattering and μ pair production at an energy of 34.5 GeV. The forward-backward charge asymmetry of the μ pairs was measured to be −0.098±0.023±0.005. The data were found to agree well with the standard theory of electroweak interaction giving sin2θW=0.27±0.07. The leptonic weak couplings were determined to begv=0.000±0.170 andgA=−0.481±0.055. The data were also used to investigate a class of composite models for leptons.

2 data tables

No description provided.

No description provided.


High precision measurement of the associated strangeness production in proton proton interactions

The COSY-TOF collaboration Jowzaee, S. ; Borodina, E. ; Clement, H. ; et al.
Eur.Phys.J.A 52 (2016) 7, 2016.
Inspire Record 1393330 DOI 10.17182/hepdata.70735

A new high precision measurement of the reaction pp -> pK+Lambda at a beam momentum of 2.95 GeV/c with more than 200,000 analyzed events allows a detailed analysis of differential observables and their inter-dependencies. Correlations of the angular distributions with momenta are examined. The invariant mass distributions are compared for different regions in the Dalitz plots. The cusp structure at the N Sigma threshold is described with the Flatt\'e formalism and its variation in the Dalitz plot is analyzed.

9 data tables

No description provided.

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Forward Photoproduction of Neutral Pions on Polarized Protons in the Third Resonance Region

Herr, H. ; Husmann, D. ; Jansen, W. ; et al.
Nucl.Phys.B 125 (1977) 157-161, 1977.
Inspire Record 118996 DOI 10.17182/hepdata.50398

Angular distributions of the target symmetry for the reaction γ + p → π 0 + p have been measured at the Bonn 2.5 GeV Electron Synchrotron at pion c.m. angles between 13° and 63° and photon energies of 1.0 and 1.1 GeV. The π 0 mesons were detected by their two decay photons with total absorption lead-glass Čerenkov counters. Butanol was used as target material in a continuous flow 3 He cryostat operating at 0.5 K and 25 kG. The π 0 counting rate from free protons in the butanol target was derived from the measurements of the differential cross section on hydrogen. The data are compared with data of other laboratories and the results of two recent partial-wave analyses.

3 data tables

No description provided.

No description provided.

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Differential cross section for elastic n+d scattering and n+d break-up quasi free-scattering at 67 MeV

Balewski, J. ; Bodek, K. ; Jarczyk, L. ; et al.
Nucl.Phys.A 581 (1995) 131-144, 1995.
Inspire Record 1389771 DOI 10.17182/hepdata.36531

The differential cross sections for the n+d elastic scattering and for the 2H(n,np)n break-up reaction in the np quasi-free scattering configuration was measured at 67 MeV. The experimental data are compared with results of the calculations based on a rigorous solution of the three-nucleon Faddeev equations using meson-exchange potentials. Good agreement is found between experiment and theory for the n+d elastic-scattering cross section while in the case of np quasi-free scattering the theoretical predictions overestimate the data at neutron angles larger than 40° by about 30%.

6 data tables

No description provided.

CROSS SECTION FOR THE N P QUASI-FREE SCATTERING CONFIGURATION.

CROSS SECTION FOR THE N P QUASI-FREE SCATTERING CONFIGURATION.

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Scattering of positrons and electrons from protons

Bartel, W. ; Dudelzak, B. ; Krehbiel, H. ; et al.
Phys.Lett.B 25 (1967) 242-245, 1967.
Inspire Record 1389651 DOI 10.17182/hepdata.29449

The ration R = σ(e + = p)/σ(e − + p) of the elastic scattering cross section of positrons and electrons on protons was measured at momentum transfers of 11.66 fm −2 and 35.1 fm −2 . The results are consistent with R = 1.

1 data table

No description provided.


PHOTOPRODUCTION OF pi0 FROM NEUTRONS AT 4-Gev

Bolon, G.C. ; Bellenger, D. ; Lobar, W. ; et al.
Phys.Rev.Lett. 27 (1971) 964, 1971.
Inspire Record 67576 DOI 10.17182/hepdata.29303

We have measured the reaction γ+n→π0+n at a photon energy of 4 GeV for 0.2<~−t<~1.8(GeVc)2. The cross section is slightly less than that with protons as a target.

1 data table

No description provided.


Single photoproduction of neutral $\pi$-mesons on hydrogen at small angles between 4 and 5.8 GeV

Braunschweig, M. ; Braunschweig, W. ; Husmann, D. ; et al.
Phys.Lett.B 26 (1968) 405-409, 1968.
Inspire Record 1389637 DOI 10.17182/hepdata.29336

The differential cross-section of the reaction γ + p → p + π 0 was measured at the Deutsches Elektronen-Synchrotron, Hamburg, at mean photon energies of 4.0, 5.0 and 5.8 GeV and pion center of mass angles between 0° and 60°. The results are compared wiht theoretical calculations based on Reggeized vector meson exchange.

6 data tables

Axis error includes +- 7/7 contribution.

Axis error includes +- 7/7 contribution.

Axis error includes +- 7/7 contribution.

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Cross-Sections for the Photoproduction of pi0 Mesons from Hydrogen from 238-MeV to 922-MeV

Dougan, P. ; Ramsay, V. ; Stiefler, W. ;
Z.Phys.A 276 (1976) 155-160, 1976.
Inspire Record 99794 DOI 10.17182/hepdata.16656

The results of a comprehensive series of measurements of the cross-sections for the photo-production of π0-mesons from hydrogen at pion c.m. angles from 47 to 145 degrees are presented. The minimum and maximum photon energies have been 238 and 922 MeV respectively.

1 data table

No description provided.


Some cross-sections for the photo-production of neutral Pi-mesons from hydrogen at energies from 360 to 938 MeV

Dougan, P. ; Kivikas, T. ; Lugner, K. ; et al.
Z.Phys.A 274 (1975) 73-78, 1975.
Inspire Record 1385254 DOI 10.17182/hepdata.16654

Some cross-sections for the photo-production of ~z~ from hydrogen for pion c.m. angles in the range 60~ ~ are presented. The data have been obtained by measuring proton yields from a hydrogen target, thus permitting separation of single-pion production from the strong background caused by double-pion production. The values, which extend from 360 to 938 MeV, show reasonable agreement with the results of a recent phase-shift analysis

1 data table

No description provided.


Photoproduction of positive pions on hydrogen between 200 and 450 MeV

Freitag, C. ; Freytag, D. ; Luebelsmeyer, K. ; et al.
Z.Phys. 175 (1963) 1-18, 1963.
Inspire Record 1385258 DOI 10.17182/hepdata.16693

Die Reaktionγ+p→π ++n für Photonenergien zwischen 200 MeV und 450 MeV wurde mit einem Reichweiteteleskop am Bonner 500 MeV Elektronen Synchrotron untersucht. Es wurden Anregungskurven für die Laborwin

3 data tables

No description provided.

No description provided.

No description provided.


Photoproduction of positive pions on hydrogen between 200 and 450 MeV

Althoff, K. ; Fischer, H. ; Paul, W. ;
Z.Phys. 175 (1963) 19-33, 1963.
Inspire Record 1385261 DOI 10.17182/hepdata.16824

Mit einem magnetischen Spektrometer wurde am Bonner 500 MeV-Elektronen-Synchrotron die Reaktionγ+p→π ++n für Photonenenergien zwischen 200 und 450 MeV untersucht. Es wurden Anregungskurven für die Lab

19 data tables

No description provided.

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Photoproduction of Neutral Pions off Protons

The CBELSA/TAPS collaboration Crede, V. ; Sparks, N. ; Wilson, A. ; et al.
Phys.Rev.C 84 (2011) 055203, 2011.
Inspire Record 917921 DOI 10.17182/hepdata.61486

Photoproduction of neutral pions has been studied with the CBELSA/TAPS detector in the reaction $\gamma p\to p\pi^0$ for photon energies between 0.85 and 2.50 GeV. The $\pi^0$ mesons are observed in their dominant neutral decay mode: $\pi^0\to\gamma\gamma$. For the first time, the differential cross sections cover the very forward region, $\theta_{\rm c.m.}&lt;60^\circ$. A partial-wave analysis of these data within the Bonn-Gatchina framework observes the high-mass resonances $G_{17}$(2190), $D_{13}$(2080), and $D_{15}$(2070).

82 data tables

Differential cross section for the process GAMMA P --> PI0 P as a function of the cosine of the centre-of-mass scattering angle of the PI0 for photon energies from 0.850 to 0.875 GeV.

Differential cross section for the process GAMMA P --> PI0 P as a function of the cosine of the centre-of-mass scattering angle of the PI0 for photon energies from 0.875 to 0.900 GeV.

Differential cross section for the process GAMMA P --> PI0 P as a function of the cosine of the centre-of-mass scattering angle of the PI0 for photon energies from 0.900 to 0.925 GeV.

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Eta photoproduction on the proton for photon energies from 0.75-GeV to 1.95-GeV

The CLAS collaboration Dugger, M. ; Ritchie, B.G. ; Ball, J. ; et al.
Phys.Rev.Lett. 89 (2002) 222002, 2002.
Inspire Record 603904 DOI 10.17182/hepdata.19406

Differential cross sections for γp→ηp have been measured with tagged real photons for incident photon energies from 0.75 to 1.95 GeV. Mesons were identified by missing mass reconstruction using kinematical information for protons scattered in the production process. The data provide the first extensive angular distribution measurements for the process above W=1.75  GeV. Comparison with preliminary results from a constituent quark model support the suggestion that a third S11 resonance with mass ∼1.8  GeV couples to the ηN channel.

6 data tables

Cross sections for photon energies 0.775 to 0.925 GeV.

Cross sections for photon energies 0.975 to 1.125 GeV.

Cross sections for photon energies 1.175 to 1.325 GeV.

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Operation and Performance of a System for $\pi p$ and $\pi D$ Backward Scattering

Stanovnik, A. ; Kernel, G. ; Tanner, N.W. ; et al.
Nucl.Instrum.Meth. 177 (1980) 369, 1980.
Inspire Record 152948 DOI 10.17182/hepdata.41451

A simple, large-solid-angle apparatus, specially suited for the measurement of backward elastic scattering of medium-energy pions on protons and deuterons, is described. The method of analysis which reduces background and determines elastic events from a data sample of 185 MeV negative pions incident on a D 2 O target is discussed. Results for 141 MeV π + p and 185 MeV π − p backward cross-sections are also presented and compared with cross-sections calculated from known phase shifts.

2 data tables

Deuteron Photodisintegration at Photon Energies Between 200-{MeV} and 700-{MeV} in Backward Direction

Althoff, K.H. ; Anton, G. ; Bour, D. ; et al.
Z.Phys.C 21 (1983) 149, 1983.
Inspire Record 192906 DOI 10.17182/hepdata.50170

The differential cross section of the deuteron photodisintegration was measured at a protion c.m. angle of 180 degrees and for photon energies between 180 and 730 MeV. The protons were detected in a magnetic spectrometer. The proton energy resolution varied between 30 MeV and 50 MeV FWHM. Since these are the first data at 180 degrees in this energy range a comparison can only be done with data from other laboratories extrapolated to 180 degrees and with theoretical predictions. The agreement with existing calculations is poor. Contributions of dibaryons to the cross section seem not to improve the situation.

1 data table

BEAM ERROR D(E) = 50.000 MEV.


Cross sections and Rosenbluth separations in 1H(e, e'K+)Lambda up to Q2=2.35 GeV2

The Jefferson Lab Hall A collaboration Coman, M. ; Markowitz, P. ; Aniol, K.A. ; et al.
Phys.Rev.C 81 (2010) 052201, 2010.
Inspire Record 837422 DOI 10.17182/hepdata.54197

The kaon electroproduction reaction 1H(e,e'K+)Lambda was studied as a function of the virtual-photon four-momentum, Q2, total energy, W, and momentum transfer, t, for different values of the virtual- photon polarization parameter. Data were taken at electron beam energies ranging from 3.40 to 5.75 GeV. The center of mass cross section was determined for 21 kinematics corresponding to Q2 of 1.90 and 2.35 GeV2 and the longitudinal, sigmaL, and transverse, sigmaT, cross sections were separated using the Rosenbluth technique at fixed W and t. The separated cross sections reveal a flat energy dependence at forward kaon angles not satisfactorily described by existing electroproduction models. Influence of the kaon pole on the cross sections was investigated by adopting an off-shell form factor in the Regge model which better describes the observed energy dependence of sigmaT and sigmaL.

11 data tables

Measured values of the separated cross section at Q**2 = 2.35 GeV**2 and W = 1.85 GeV.. Errors contain both statistics and systematics.

Measured values of the separated cross section at Q**2 = 1.90 GeV**2.. Errors contain both statistics and systematics.

Measured values of the separated cross section at Q**2 = 2.35 GeV**2.. Errors contain both statistics and systematics.

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Neutral Pion Electroproduction in the Resonance Region at High $Q^2$

Villano, A.N. ; Stoler, P. ; Bosted, P.E. ; et al.
Phys.Rev.C 80 (2009) 035203, 2009.
Inspire Record 823260 DOI 10.17182/hepdata.54189

The process $ep \to e^{\prime}p^{\prime}\pi^0$ has been measured at $Q^2$ = 6.4 and 7.7 \ufourmomts in Jefferson Lab's Hall C. Unpolarized differential cross sections are reported in the virtual photon-proton center of mass frame considering the process $\gamma^{\ast}p \to p^{\prime}\pi^0$. Various details relating to the background subtractions, radiative corrections and systematic errors are discussed. The usefulness of the data with regard to the measurement of the electromagnetic properties of the well known $\Delta(1232)$ resonance is covered in detail. Specifically considered are the electromagnetic and scalar-magnetic ratios $R_{EM}$ and $R_{SM}$ along with the magnetic transition form factor $G_M^{\ast}$. It is found that the rapid fall off of the $\Delta(1232)$ contribution continues into this region of momentum transfer and that other resonances

125 data tables

Differential cross sections at Q**2=6.564 GeV**2, EPSILON=0.4523, W=1.112 GeV and COS(THETA(*))=-0.9 for the small SOS spectrometer.

Differential cross sections at Q**2=6.564 GeV**2, EPSILON=0.4523, W=1.112 GeV and COS(THETA(*))=-0.7 for the small SOS spectrometer.

Differential cross sections at Q**2=6.564 GeV**2, EPSILON=0.4523, W=1.112 GeV and COS(THETA(*))=-0.5 for the small SOS spectrometer.

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Exclusive measurement of two-pion production in the dd --> 4Hepipi reaction

Keleta, S. ; Bargholtz, Chr. ; Bashkanov, M. ; et al.
Nucl.Phys.A 825 (2009) 71-90, 2009.
Inspire Record 818215 DOI 10.17182/hepdata.52982

The results from the first kinematically complete measurement of the dd --> 4Hepipi reaction are reported. The aim was to investigate a long standing puzzle regarding the origin of the peculiar pipi-invariant mass distributions appearing in double pion production in light ion collisions, the so-called ABC effect. The measurements were performed at the incident deuteron energies of 712 MeV and 1029 MeV, with the WASA detector assembly at CELSIUS in Uppsala, Sweden. We report the observation of a characteristic enhancement at low pipi-invariant mass at 712 MeV, the lowest energy yet. At the higher energy, in addition to confirming previous experimental observations, our results reveal a strong angular dependence of the pions in the overall centre of mass system. The results are qualitatively reproduced by a theoretical model, according to which the ABC effect is described as resulting from a kinematical enhancement in the production of the pion pairs from two parallel and independent NN--> dpi sub-processes.

15 data tables

Total cross section for neutral and charged pion channels.

Invariant PI0 PI0 mass distribution at deuteron kinetic energy 1.029 GeV.

Invariant PI+ PI- mass distribution at deuteron kinetic energy 1.029 GeV.

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Differential cross sections for the reactions gamma p-> p eta and gamma p -> p eta-prime

The CLAS collaboration Williams, M. ; Krahn, Z. ; Applegate, D. ; et al.
Phys.Rev.C 80 (2009) 045213, 2009.
Inspire Record 830257 DOI 10.17182/hepdata.52983

High-statistics differential cross sections for the reactions gamma p -> p eta and gamma p -> p eta-prime have been measured using the CLAS at Jefferson Lab for center-of-mass energies from near threshold up to 2.84 GeV. The eta-prime results are the most precise to date and provide the largest energy and angular coverage. The eta measurements extend the energy range of the world's large-angle results by approximately 300 MeV. These new data, in particular the eta-prime measurements, are likely to help constrain the analyses being performed to search for new baryon resonance states.

104 data tables

Differential cross section for the W range 1.68 to 1.69 GeV.

Differential cross section for the W range 1.69 to 1.70 GeV.

Differential cross section for the W range 1.70 to 1.71 GeV.

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$\pi^+$ photoproduction on the proton for photon energies from 0.725 to 2.875 GeV

The CLAS collaboration Dugger, M. ; Ritchie, B.G. ; Ball, J.P. ; et al.
Phys.Rev.C 79 (2009) 065206, 2009.
Inspire Record 814847 DOI 10.17182/hepdata.51952

Differential cross sections for the reaction $\gamma p \to n \pi^+$ have been measured with the CEBAF Large Acceptance Spectrometer (CLAS) and a tagged photon beam with energies from 0.725 to 2.875 GeV. Where available, the results obtained here compare well with previously published results for the reaction. Agreement with the SAID and MAID analyses is found below 1 GeV. The present set of cross sections has been incorporated into the SAID database, and exploratory fits have been made up to 2.7 GeV. Resonance couplings have been extracted and compared to previous determinations. With the addition of these cross sections to the world data set, significant changes have occurred in the high-energy behavior of the SAID cross-section predictions and amplitudes.

11 data tables

Differential cross sections for incident photon energies 0.725, 0.775, 0.825and 0.875 GeV.

Differential cross sections for incident photon energies 0.925, 0.975, 1.025and 1.075 GeV.

Differential cross sections for incident photon energies 1.125, 1.175, 1.225and 1.275 GeV.

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Production of the omega meson in the pd --> 3He omega reaction at 1450 MeV and 1360 MeV

The CELSIUS/WASA collaboration Schonning, K. ; Bargholtz, Chr. ; Bashkanov, M. ; et al.
Phys.Rev.C 79 (2009) 044002, 2009.
Inspire Record 813975 DOI 10.17182/hepdata.52157

The production of $\omega$ mesons in the $pd \to{}^3$He$ \omega$ reaction has been studied at two energies near the kinematic threshold, $T_p=1450$ MeV and $T_p=1360$ MeV. The differential cross section was measured as a function of the $\omega$ cm angle at both energies over the whole angular range. Whereas the results at 1360 MeV are consistent with isotropy, strong rises are observed near both the forward and backward directions at 1450 MeV. Calculations made using a two-step model with an intermediate pion fail to reproduce the shapes of the measured angular distributions and also underestimate the total cross sections.

3 data tables

Total cross sections.

Differential cross section at 1450 MeV.

Differential cross section at 1360 MeV.


Single-Pion Production in pp Collisions at 0.95 GeV/c (II)

The COSY-TOF collaboration Abd El-Samad, S. ; Bilger, R. ; Brinkmann, K.-Th. ; et al.
Eur.Phys.J.A 39 (2009) 281-289, 2009.
Inspire Record 790164 DOI 10.17182/hepdata.50496

The single-pion production reactions $pp\to d\pi^+$, $pp\to np\pi^+$ and $pp\to pp\pi^0$ were measured at a beam momentum of 0.95 GeV/c ($T_p \approx$ 400 MeV) using the short version of the COSY-TOF spectrometer. The central calorimeter provided particle identification, energy determination and neutron detection in addition to time-of-flight and angle measurements from other detector parts. Thus all pion production channels were recorded with 1-4 overconstraints. Main emphasis is put on the presentation and discussion of the $np\pi^+$ channel, since the results on the other channels have already been published previously. The total and differential cross sections obtained are compared to theoretical calculations. In contrast to the $pp\pi^0$ channel we find in the $np\pi^+$ channel a strong influence of the $\Delta$ excitation already at this energy close to threshold. In particular we find a $(3 cos^2\Theta + 1)$ dependence in the pion angular distribution, typical for a pure s-channel $\Delta$ excitation and identical to that observed in the $d\pi^+$ channel. Since the latter is understood by a s-channel resonance in the $^1D_2$ $pn$ partial wave, we discuss an analogous scenario for the $pn\pi^+$ channel.

6 data tables

Differential cross section for the process P P --> P N PI+ as a function ofthe P PI+ mass.

Differential cross section for the process P P --> P N PI+ as a function ofthe N PI+ mass.

Differential cross section for the process P P --> P N PI+ as a function ofthe P N mass.

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