Precise Measurement of the $e^+ e^- \to \pi^+\pi^- (\gamma)$ Cross Section with the Initial-State Radiation Method at BABAR

The BaBar collaboration Lees, J.P. ; Poireau, V. ; Tisserand, V. ; et al.
Phys.Rev.D 86 (2012) 032013, 2012.
Inspire Record 1114155 DOI 10.17182/hepdata.115140

A precise measurement of the cross section of the process $e^+e^-\to\pi^+\pi^-(\gamma)$ from threshold to an energy of 3GeV is obtained with the initial-state radiation (ISR) method using 232fb$^{-1}$ of data collected with the BaBar detector at $e^+e^-$ center-of-mass energies near 10.6GeV. The ISR luminosity is determined from a study of the leptonic process $e^+e^-\to\mu^+\mu^-(\gamma)\gamma_{\rm ISR}$, which is found to agree with the next-to-leading-order QED prediction to within 1.1%. The cross section for the process $e^+e^-\to\pi^+\pi^-(\gamma)$ is obtained with a systematic uncertainty of 0.5% in the dominant $\rho$ resonance region. The leading-order hadronic contribution to the muon magnetic anomaly calculated using the measured $\pi\pi$ cross section from threshold to 1.8GeV is $(514.1 \pm 2.2({\rm stat}) \pm 3.1({\rm syst}))\times 10^{-10}$.

3 data tables

Bare cross-section $e^+e^-\rightarrow\pi^+\pi^-(\gamma)$ The cross section values (nb) for 337 CM energy intervals (GeV) from 0.3 to 3 GeV. The cross section is bare (excluding vacuum polarization) and includes the emission of final state photons. ***WARNING*** The quoted errors are from the diagonal elements of the statistical covariance matrix (reported the Table titled "Bare cross-section statistical covariance") and added quadratically with the systematic uncertainties (reported in the Table titled "Bare cross-section systematic uncertainties"). These errors can be used when plotting the results as they are representative of the precision achieved. However, any calculation involving the cross section over some energy range MUST use, to be meaningful, the full statistical covariance matrix and the proper correlations of the systematic uncertainties. ***WARNING***

Bare cross-section $e^+e^-\rightarrow\pi^+\pi^-(\gamma)$ systematic uncertainties contributions and total systematic uncertainties, for 337 CM energy intervals (GeV), from 0.3 to 3 GeV. All systematics contributions are each 100% correlated in all energy bins.

Bare cross-section $e^+e^-\rightarrow\pi^+\pi^-(\gamma)$ statistical covariance matrix, for 337x337 CM energy intervals (GeV), from 0.3 to 3 GeV.


Precision Measurement of the Hadronic Contribution to the Muon Anomalous Magnetic Moment

Xiao, T. ; Dobbs, S. ; Tomaradze, A. ; et al.
Phys.Rev.D 97 (2018) 032012, 2018.
Inspire Record 1643020 DOI 10.17182/hepdata.130772

We report on a precision measurement of the cross section for the reaction $e^+e^-\to\pi^+\pi^-$ in the mass range $0.30<M_{\pi\pi}<1.00$ GeV with the initial state radiation (ISR) method, using 817 pb$^{-1}$ of data at $e^+e^-$ center-of-mass energies near 3.77 GeV and 586 pb$^{-1}$ of data at $e^+e^-$ center-of-mass energies near 4.17 GeV, collected with the CLEO-c detector at the CESR $e^+e^-$ collider at Cornell University. The integrated cross sections in the range $0.30<M_{\pi\pi}<1.00$ GeV for the process $e^+e^-\to\pi^+\pi^-$ are determined with a statistical uncertainty of $0.7\%$ and a systematic uncertainty of $1.5\%$. The leading-order hadronic contribution to the muon anomalous magnetic moment calculated using these measured $e^+e^-\to\pi^+\pi^-$ cross sections in the range $M_{\pi\pi}=0.30$ to 1.00 GeV is calculated to be $(500.4\pm3.6 (\mathrm{stat})\pm 7.5(\mathrm{syst}))\times10^{-10}$.

1 data table

Born cross section of $e^+e^-\rightarrow h^+h^-$


Measurement of the $e^+e^- \to K^+K^-\pi^+\pi^-$ cross section with the CMD-3 detector at the VEPP-2000 collider

Shemyakin, D.N. ; Fedotovich, G.V. ; Akhmetshin, R.R. ; et al.
Phys.Lett.B 756 (2016) 153-160, 2016.
Inspire Record 1395968 DOI 10.17182/hepdata.76553

The process $e^+e^- \to K^+K^-\pi^+\pi^-$ has been studied in the center-of-mass energy range from 1500 to 2000\,MeV using a data sample of 23 pb$^{-1}$ collected with the CMD-3 detector at the VEPP-2000 $e^+e^-$ collider. Using about 24000 selected events, the $e^+e^- \to K^+K^-\pi^+\pi^-$ cross section has been measured with a systematic uncertainty decreasing from 11.7\% at 1500-1600\,MeV to 6.1\% above 1800\,MeV. A preliminary study of $K^+K^-\pi^+\pi^-$ production dynamics has been performed.

1 data table

Center-of-mass energy, integrated luminosity, number of four-track events, number of three-track events, detection efficiency, radiative correction and Born cross section of the process $e^{+}e^{-} \to K^{+} K^{-} \pi^{+} \pi^{-}$. Errors are statistical only.


Bubble Chamber Study of Photoproduction by 2.8-GeV and 4.7-GeV Polarized Photons. 1. Cross-Section Determinations and Production of rho0 and Delta++ in the Reaction gamma p --> p pi+ pi-

Ballam, Joseph ; Chadwick, G.B. ; Gearhart, R. ; et al.
Phys.Rev.D 5 (1972) 545, 1972.
Inspire Record 67165 DOI 10.17182/hepdata.3635

Photoproduction is studied at 2.8 and 4.7 GeV using a linearly polarized monoenergetic photon beam in a hydrogen bubble chamber. We discuss the experimental procedure, the determination of channel cross sections, and the analysis of the channel γp→pπ+π−. A model-independent analysis of the ρ0-decay angular distribution allows us to measure nine independent density-matrix elements. From these we find that the reaction γp→pρ0 proceeds almost completely through natural parity exchange for squared momentum transfers |t|<1 GeV2 and that the ρ production mechanism is consistent with s-channel c.m. helicity conservation for |t|<0.4 GeV2. A cross section for the production of π+π− pairs in the s-channel c.m. helicity-conserving p-wave state is determined. The ρ mass shape is studied as a function of momentum transfer and is found to be inconsistent with a t-independent Ross-Stodolsky factor. Using a t-dependent parametrization of the ρ0 mass shape we derive a phenomenological ρ0 cross section. We compare our phenomenological ρ0 cross section with other experiments and find good agreement for 0.05<|t|<1 GeV2. We discuss the discrepancies in the various determinations of the forward differential cross section. We study models for ρ0 photoproduction and find that the Söding model best describes the data. Using the Söding model we determine a ρ0 cross section. We determine cross sections and nine density-matrix elements for γp→Δ++π−. The parity asymmetry for Δ++ production is incompatible with simple one-pion exchange. We compare Δ++ production with models.

20 data tables

FROM QUOTED TOPOLOGICAL CROSS SECTIONS. 1.44 GEV CROSS SECTION PUBLISHED PREVIOUSLY.

No description provided.

NO TMIN CORRECTION HAS BEEN MADE.

More…

Recent results on the polarization parameter in $\pi-p$ and $p-p$ elastic scattering from 6 to 12 GeV/c.

Borghini, M. ; Coignet, G. ; Dick, Louis ; et al.
(1967) 123-124, 1967.
Inspire Record 1371768 DOI 10.17182/hepdata.71256

We present the final results of a measurement of the polarization parameter P 0 in high-energy n~-p and p-p elastic scattering, performed using a target which contained polarized protons. Data were taken at beam momenta of 6.0, 8.0, 10.0 and 12.0 GeV/c for n-, and of 6.0, 10.0 and 12.0 GeV/c for n+ and p, in the interval of invariant four-momentum transfer squared-t from 0.1 to 0.75 (GeV/c)2.

11 data tables

No description provided.

No description provided.

No description provided.

More…

DCS for π − p elastic scattering from 1.2 to 3.0 GeV/ c and phase shift analysis

Aplin, P.S. ; Cowan, I.M. ; Gibson, W.M. ; et al.
Nucl.Phys.B 32 (1971) 253-284, 1971.
Inspire Record 1104030 DOI 10.17182/hepdata.69638

Differential cross sections have been measured for π − p elastic scattering at laboratory momenta in the range 1.2 to 3.0 GeV/ c for the c.m. range 0.97 > cos θ ∗ > −0.98 . The corresponding mass range is 1.78 to 2.56 GeV/ c 2 . The data was obtained from a counter experiment in which the scattered pions and protons were detected in coincidence by arrays of scintillation counters.

31 data tables

No description provided.

No description provided.

No description provided.

More…

Electroproduction of $\pi^0$ Mesons in the Resonance Region at $q^2=1.0$-{GeV}/$c^2$

Latham, A. ; Allison, John ; Booth, I. ; et al.
Nucl.Phys.B 189 (1981) 1-14, 1981.
Inspire Record 155783 DOI 10.17182/hepdata.43833

Data are presented for the reaction ep → ep π 0 at a nominal momentum transfer squared of 1.0 (GeV/ c ) 2 . The data were obtained using an extracted electron beam from NINA and two magnetic spectrometers for coincidence detection of the electron and proton. Differential cross sections have been measured for isobar masses in the range 1.19–1.73 GeV/ c 2 .

22 data tables

No description provided.

No description provided.

No description provided.

More…

ELECTROPRODUCTION OF SINGLE CHARGED PIONS FROM DEUTERIUM AT Q**2 APPROXIMATELY 1-GEV**2 IN THE RESONANCE REGION

Vapenikova, O. ; Allison, John ; Dickinson, B. ; et al.
Z.Phys.C 37 (1988) 251-258, 1988.
Inspire Record 263398 DOI 10.17182/hepdata.898

We present differential cross-sections for the electro-production of single charged pions from deuterium for a virtual photon mass squared −1.0 GeV2 and for pion nucleon masses in the range 1.23–1.68 GeV (the 1st and 2nd resonance regions). The data are compared with predictions from fits to hydrogen data.

30 data tables

FORWARD BINS.

No description provided.

No description provided.

More…

Measurements of polarization in pi- p elastic scattering at large angles

Hill, D. ; Koehler, P.F.M. ; Novey, T.B. ; et al.
Phys.Rev.Lett. 27 (1971) 1241-1243, 1971.
Inspire Record 68894 DOI 10.17182/hepdata.229

We have made measurements of polarization in π−p elastic scattering, with emphasis over the backward region, at 1.60 to 2.28 GeVc. The results indicate the absence of u-channel dominance in the backward region, as was observed in the case of π+p scattering. Comparisons have been made with predictions of various phase-shift analyses which show that the agreement is generally very poor in the backward region.

9 data tables

No description provided.

No description provided.

No description provided.

More…

Single photoproduction of neutral π-mesons on hydrogen at small angles between 1.3 and 3 GeV

Braunschweig, M. ; Husmann, D. ; Lübelsmeyer, K. ; et al.
Phys.Lett. 22 (1966) 705-708, 1966.
Inspire Record 1389452 DOI 10.17182/hepdata.753

The differential cross section of the reaction γ + p → p + πo has been measured at the Deutsches Elektronen- Synchrotron, Hamburg, at mean phonon energies of 1.36, 2.0 and 3.0 GeV and pion center of mass angles between 0o and 70o. The results are compared with some theoretical calculations based on elementary and reggeized 1- meson exchange.

4 data tables

Axis error includes +- 12/12 contribution.

Axis error includes +- 12/12 contribution.

Axis error includes +- 12/12 contribution.

More…

Coincidence electroproduction of single neutral pions in the resonance region at q 2 = 0.5 (GeV/ c ) 2

Latham, A. ; Allison, J. ; Booth, I. ; et al.
Nucl.Phys.B 156 (1979) 58-92, 1979.
Inspire Record 1392686 DOI 10.17182/hepdata.836

Data are presented for the reaction ep → ep π 0 at a nominal four-momentum transfer squared of 0.5 (GeV/ c ) 2 . The data were obtained using an extracted electron beam from NINA and two magnetic spectrometers for coincidence detection of the electron and proton. Details are given of the experimental method and the results are given for isobar masses in the range 1.19 – 1.73 GeV/ c 2 .

21 data tables

No description provided.

No description provided.

No description provided.

More…

$K^+$ nucleon elastic scattering at 180° between 1.0 and 1.5 GeV/c incident momentum

Adams, U. ; Carter, R.S. ; Cook, V. ; et al.
Nucl.Phys.B 87 (1975) 41-51, 1975.
Inspire Record 1392682 DOI 10.17182/hepdata.32061

We have measured the cross section at 180° for K + p and K + n elastic scattering in the momentum range 1.0 to 1.5 GeV/ c . The K + n cross section was measured on deuterium and the K + p on hydrogen and deuterium. We were thus able to measure directly the difference between free nucleon (proton) scattering and bound nucleon (proton) scattering at large angles. This difference was found to be small and within our experimental accuracy the K + p(n) cross section should be equal to the K + p (free) cross section at 180°. We found no evidence for an s -channel resonance Z ∗ in either the K + p or K + n system. A comparison of our data and those of other groups with theoretical predictions is given.

2 data tables

DEUTERIUM TARGET. U IS ABOUT 0.1 GEV**2.

HYDROGEN AND DEUTERIUM TARGET DATA ARE IN GOOD AGREEMENT. THESE CROSS SECTIONS ARE A WEIGHTED AVERAGE.


Measurement of the spin correlation parameters $A_{xx}$ and $A_{yy}$ for proton-proton scattering at 47.5 MeV

Nisimura, K. ; Hasegawa, T. ; Saito, T. ; et al.
Phys.Lett.B 30 (1969) 612-613, 1969.
Inspire Record 1389659 DOI 10.17182/hepdata.28866

A measurement of the spin correlation parameters A xx (90° cm) and A yy (90° cm) of 47.5 MeV proton-proton scattering has been performed by means of polarized beam and a polarized 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.

More…

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.


Electromagnetic form-factors of the proton at squared four momentum transfers between 10-fm**-2 and 50 fm**-2

Berger, C ; Burkert, V. ; Knop, G. ; et al.
Phys.Lett.B 35 (1971) 87-89, 1971.
Inspire Record 69362 DOI 10.17182/hepdata.28478

Electron-proton elastic scattering cross sections have been measured to determine the proton electromagnetic form factors at squared four-momentum transfers q 2 between 10 and 50 fm −2 . At these values of q 2 we measured angular distributions between 25° and 110° and in addition at 25° and 35° cross sections for q 2 from 2 to 20 fm −2 using the external electron beam of the Bonn 2.5 GeV electron synchrotron. Our results confirm deviations from the scaling law.

15 data tables

Axis error includes +- 2/2 contribution (NORMALIZATION ERROR).

Axis error includes +- 2/2 contribution (NORMALIZATION ERROR).

Axis error includes +- 2/2 contribution (NORMALIZATION ERROR).

More…

Observation of the $\phi(1680)$ and the Y(2175) in $e^+ e^- \to \phi\pi^+\pi^-$

The Belle collaboration Shen, C.P. ; Yuan, C.Z. ; Wang, P. ; et al.
Phys.Rev.D 80 (2009) 031101, 2009.
Inspire Record 809630 DOI 10.17182/hepdata.52399

The cross sections for $e^+ e^- \to \phi\pi^+\pi^-$ and $e^+ e^- \to \phi \fzero$ are measured from threshold to $\sqrt{s}=3.0$ $\hbox{GeV}$ using initial state radiation. The analysis is based on a data sample of 673 fb$^{-1}$ collected on and below the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider. First measurements are reported for the resonance parameters of the $\phi(1680)$ in the $\phi\pi^+\pi^-$ mode: $m=(1689\pm 7\pm 10)$ MeV/$c^2$ and $\Gamma=(211\pm 14\pm 19)$ MeV/$c^2$. A structure at $\sqrt{s}=2.1 \hbox{GeV}/c^2$, corresponding to the so called Y(2175), is observed/ its mass and width are determined to be $2079\pm13^{+79}_{-28}$ MeV/$c^2$ and $192\pm23^{+25}_{-61} \hbox{MeV}/c^2$, respectively.

2 data tables

Measured E+ E- --> PHI PI+ PI- cross section.

Measured E+ E- --> PHI F0 cross section.


Proton Proton Elastic Scattering from 150-MeV to 515-MeV

Bugg, D.V. ; Edgington, J.A. ; Amsler, Claude ; et al.
J.Phys.G 4 (1978) 1025, 1978.
Inspire Record 123232 DOI 10.17182/hepdata.38563

The parameters D, R, R' and P for pp elastic scattering have been measured in the centre-of-mass angular range 13 degrees to 58 degrees with an accuracy of about +or-0.02 at 209, 324, 379, 425 and 515 MeV. These results are incorporated with earlier data into a phase-shift analysis. Phase-shifts are generally in agreement with the theoretical predictions of the Paris group, although the F-wave spin-orbit combination is rather stronger than predicted. The fitted value for the pi 0pp coupling constant in g02=14.06+or-0.65.

6 data tables

No description provided.

No description provided.

No description provided.

More…

Photoproduction of neutral pions from neutrons between 500 and 900 mev

Hemmi, Y. ; Inagaki, T. ; Kikuchi, R. ; et al.
Phys.Lett.B 32 (1970) 137-140, 1970.
Inspire Record 63812 DOI 10.17182/hepdata.28720

The differential cross sections for the γ + n → π O + n reaction have been measured at the photon energies of 500–900 MeV. The ratios, R oo = [ d δ d Ω(γ n → π o n ) ] [ d δ d Ω(γ p → π o p ) ] , have been obtained at the c.m. pion angles of 60 O , 90 O , 105 O , 120 O , and 140 O .

22 data tables

Axis error includes +- 0.0/0.0 contribution (8 TO 11////).

Axis error includes +- 0.0/0.0 contribution (8 TO 11////).

Axis error includes +- 0.0/0.0 contribution (8 TO 11////).

More…

Measurement of the polarization of the recoil proton from the photoproduction of neutral pions on hydrogen in the region of the first resonance. I

Althoff, K.H. ; Kramp, K. ; Matthay, H. ; et al.
Z.Phys. 194 (1966) 135-143, 1966.
Inspire Record 1385256 DOI 10.17182/hepdata.16667

The polarization of the recoil proton from the reaction 7+p--->~pi0+p has been measured using liquid helium as polarization analyser. The photon energy has been varied between 250 and 360 MeV, the pion angle (CM) between 58 and 100.

1 data table

No description provided.


Photoproduction of positive pions between 200 and 260 MeV at fixed momentum transfer

Althoff, K. ;
Z.Phys. 175 (1963) 34-36, 1963.
Inspire Record 1385257 DOI 10.17182/hepdata.16670

Mit einem magnetischen Spektrometer wurde der differentielle Wirkungsquerschnitt fiir die Reaktion 7 + P = ~+ + n bei Photonenergien zwischell 200 und 260 MeV gemessell. Die kinetischen Variablell wurdeI1 dabei so gew~hlt, dag der all das Meson tibertragene Impuls jeweils dem Weft an der Produktionsschwelle gleich ist. Bisher vermutete Abweichungen yon der Theorie kollnten nicht bestSMgt werden.

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.


Measurement of the angular distribution of the polarization of the recoil proton from the photoproduction of neutral pions on hydrogen at a photon energy of 360 MeV. II

Althoff, K.H. ; Kramp, K. ; Matthay, H. ; et al.
Z.Phys. 194 (1966) 144-155, 1966.
Inspire Record 1385255 DOI 10.17182/hepdata.16697

The angular distribution of the polarization of the recoil protons from the reactionγ+p→π 0+p has been measured at a photon energy of 360 MeV and at pion CM angles of 58°, 75°, 96° and 105°. The polarization of the protons has been determined by the left to right ratio in scattering on a helium gas target. The trajectory of each scattered proton has been measured by a system of spark chambers.

1 data table

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.

No description provided.

No description provided.

More…

EVIDENCE AGAINST THE S MESON

Clough, A.S. ; Beard, C.I. ; Bugg, D.V. ; et al.
Phys.Lett.B 146 (1984) 299-302, 1984.
Inspire Record 209024 DOI 10.17182/hepdata.30494

Measurements are reported of p̄p total cross sections from 388 to 599 MeV/ c in small momentum steps. Statistical errors are typically ±0.4%and the normalisation uncertainty is ±0.7%. There is no evidence for the “S-meson”.

2 data tables

DATA TAKEN WITH 8.33 CM LH2 TARGET.

DATA TAKEN WITH 1.17 CM LH2 TARGET.