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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 $(514.1 \pm 2.2({\rm stat}) \pm 3.1({\rm syst}))\times 10^{-10}$.

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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 on 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*** The Bare cross-section statistical covariance is reported as additional resource in YAML, since its size exceeds the maximum size of 10 MB for the library hepdata_lib. It is a statistical covariance matrix, for 337x337 CM energy intervals (GeV), from 0.3 to 3 GeV, matching the ones of this table.

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.


Single-pion production in p p collisions at 0.95-GeV/c. I.

The COSY-TOF collaboration El-Samad, S.Abd ; Bilger, R. ; Brinkmann, K. -Th. ; et al.
Eur.Phys.J.A 30 (2006) 443-453, 2006.
Inspire Record 725793 DOI 10.17182/hepdata.43429

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 implementation of a central calorimeter provided particle identification, energy determination and neutron detection in addition to time-of-flight and angle measurements. Thus all pion production channels were recorded with 1-4 overconstraints. The total and differential cross sections obtained are compared to previous data and theoretical calculations. Main emphasis is put on the discussion of the $pp\pi^0$ channel, where we obtain angular distributions different from previous experimental results, however, partly in good agreement with recent phenomenological and theoretical predictions. In particular we observe very large anisotropies for the $\pi^0$ angular distributions in the kinematical region of small relative proton momenta revealing there a dominance of proton spinflip transitions associated with $\pi^0$ $s$- and $d$-partial waves and emphasizing the important role of $\pi^0$ d-waves.

8 data tables match query

Total cross section measurements.. Errors are mainly systematic.

Measured angular distribution for elastic P P scattering in the CM system normalised to the data in the SAID database (Arndt et al. PR C62,034005(2000). This measurement is made to determine the luminosity.

The measured pion angular distribution in the CM system in the reaction P P --> DEUT PI+.

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Resonances formed by anti-p p and decaying into pi0 pi0 eta for masses 1960-MeV to 2410-MeV.

Anisovich, A.V. ; Baker, C.A. ; Batty, C.J. ; et al.
Nucl.Phys.A 651 (1999) 253-276, 1999.
Inspire Record 504411 DOI 10.17182/hepdata.36177

Data on pbar-b annihilation in flight into pizero-pizero-eta are presented for nine beam momenta 600 to 1940 MeV/c. The strongest four intermediate states are found to be f_2(1270)-eta, a_2(1320)-pi, sigma-eta and a_0(980)-pi. Partial wave analysis is performed mainly to look for resonances formed by pbar-p and decaying into pizero-pizero-eta through these intermediate states. There is evidence for the following s-channel I = 0 resonances : two 4^{++} resonances with mass and width (M,Gamma) at (2044, 208) MeV and (2320+-30, 220+-30) MeV/ three 2^{++} resonances at (2020+-50, 200+-70) MeV, (2240+-40, 170+-50) MeV and (2370+-50, 320+-50) MeV/ two 3^{++} resonances at (2000+-40, 250+-40) MeV and (2280+-30, 210+-30) MeV/ a 1^{++} resonance at (2340+-40, 340+-40) MeV/ and two 2^{-+} resonances at (2040+-40, 190+-40) MeV and (2300+-40, 270+-40) MeV.

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MEASUREMENT OF THE SPIN CORRELATION PARAMETER A(00NN) AND OF THE ANALYZING POWER FOR P P ELASTIC SCATTERING IN THE ENERGY RANGE FROM 0.5-GEV TO 0.8-GEV

Bystricky, J. ; Chaumette, P. ; Deregel, J. ; et al.
Nucl.Phys.B 262 (1985) 727-743, 1985.
Inspire Record 227731 DOI 10.17182/hepdata.33710

The spin correlation parameter A oonn and the analyzing powers A oono and A ooon were measured simultaneously, in the energy range 0.5–0.8 GeV and in the angular region 40°–80° CM. The experiment used the polarized proton beam of SATURNE II and the Saclay frozen spin polarized target.

15 data tables match query

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Energy dependence of the Lambda/Sigma0 production cross section ratio in p p interactions.

Kowina, P. ; Wolke, M. ; Adam, H.H. ; et al.
Eur.Phys.J.A 22 (2004) 293-299, 2004.
Inspire Record 644074 DOI 10.17182/hepdata.31762

The production of the Lambda and Sigma0 hyperons has been measured via the pp->pK+Lambda / Sigma0 reaction at the internal COSY-11 facility in the excess energy range between 14 and 60 MeV. The transition of the Lambda/Sigma0 cross section ratio from about 28 at Q<=13 MeV to the high energy level of about 2.5 is covered by the data showing a strong decrease of the ratio between 10 and 20 MeV excess energy. Effects from the final state interactions in the p-Sigma0 channel seem to be much smaller compared to the p-Lambda one. Estimates of the effective range parameters are given for the N-Lambda and the N-Sigma systems.

3 data tables match query

Cross section for LAMBDA production.. Statistical errors only.

Cross section for SIGMA0 production.. Statistical errors only.

Energy dependence of the LAMBDA/SIGMA0 ratio.


The p p --> K+ n Sigma+ reaction near threshold.

Valdau, Yu. ; Koptev, V. ; Barsov, S. ; et al.
Phys.Lett.B 652 (2007) 24124 245-249, 2007.
Inspire Record 747303 DOI 10.17182/hepdata.31457

Inclusive <math altimg="si2.gif" display="inline" overflow="scroll"><msup><mi>K</mi><mo>+</mo></msup></math> production in proton–proton collisions has been measured at a beam energy of 2.16 GeV using the COSY-ANKE magnetic spectrometer. The resulting spectrum, as well as those corresponding to <math altimg="si3.gif" display="inline" overflow="scroll"><msup><mi>K</mi><mo>+</mo></msup><mi>p</mi></math> and <math altimg="si4.gif" display="inline" overflow="scroll"><msup><mi>K</mi><mo>+</mo></msup><msup><mi>π</mi><mo>+</mo></msup></math> correlated pairs, can all be well described using consistent values of the total cross sections for the <math altimg="si5.gif" display="inline" overflow="scroll"><mi>p</mi><mi>p</mi><mo>→</mo><msup><mi>K</mi><mo>+</mo></msup><mi>p</mi><mi>Λ</mi></math>, <math altimg="si6.gif" display="inline" overflow="scroll"><mi>p</mi><mi>p</mi><mo>→</mo><msup><mi>K</mi><mo>+</mo></msup><mi>p</mi><msup><mi>Σ</mi><mn>0</mn></msup></math>, and <math altimg="si7.gif" display="inline" overflow="scroll"><mi>p</mi><mi>p</mi><mo>→</mo><msup><mi>K</mi><mo>+</mo></msup><mi>n</mi><msup><mi>Σ</mi><mo>+</mo></msup></math> reactions. While the resulting values for Λ and <math altimg="si8.gif" display="inline" overflow="scroll"><msup><mi>Σ</mi><mn>0</mn></msup></math> production are in good agreement with world data, our value for the total <math altimg="si9.gif" display="inline" overflow="scroll"><msup><mi>Σ</mi><mo>+</mo></msup></math> production cross section, <math altimg="si10.gif" display="inline" overflow="scroll"><mi>σ</mi><mo stretchy="false">(</mo><mi>p</mi><mi>p</mi><mo>→</mo><msup><mi>K</mi><mo>+</mo></msup><mi>n</mi><msup><mi>Σ</mi><mo>+</mo></msup><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mn>2.5</mn><mo>±</mo><msub><mn>0.6</mn><mi mathvariant="normal">stat</mi></msub><mo>±</mo><msub><mn>0.4</mn><mi mathvariant="normal">syst</mi></msub><mo stretchy="false">)</mo><mtext> μb</mtext></math> at an excess energy of <math altimg="si11.gif" display="inline" overflow="scroll"><mi>ε</mi><mo>=</mo><mn>129</mn><mtext> MeV</mtext></math>, could only be reconciled with other recently published data if there were a highly unusual near threshold behaviour.

4 data tables match query

Total cross section for the reaction P P --> K+ N SIGMA+.

Total cross section for the reaction P P --> K+ P LAMBDA.

Total cross section for the reaction P P --> K+ P SIGMA0.

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