$K^+\Lambda$ and $K^+\Sigma^0$ photoproduction with fine center-of-mass energy resolution

The Crystal Ball at MAMI collaboration Jude, T.C. ; Glazier, D.I. ; Watts, D.P. ; et al.
Phys.Lett.B 735 (2014) 112-118, 2014.
Inspire Record 1250810 DOI 10.17182/hepdata.130796

Measurements of $\gamma p \rightarrow K^{+} \Lambda$ and $\gamma p \rightarrow K^{+} \Sigma^0$ cross-sections have been obtained with the photon tagging facility and the Crystal Ball calorimeter at MAMI-C. The measurement uses a novel $K^+$ meson identification technique in which the weak decay products are characterized using the energy and timing characteristics of the energy deposit in the calorimeter, a method that has the potential to be applied at many other facilities. The fine center-of-mass energy ($W$) resolution and statistical accuracy of the new data results in a significant impact on partial wave analyses aiming to better establish the excitation spectrum of the nucleon. The new analyses disfavor a strong role for quark-diquark dynamics in the nucleon.

26 data tables

Excitation function at cos(Theta_K+)cm = -0.8

Excitation function at cos(Theta_K+)cm = -0.7

Excitation function at cos(Theta_K+)cm = -0.6

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$\Lambda$ Production in $e^+ e^-$ Annihilations at 29-{GeV}: A Comparison With Lund Model Predictions

Baringer, Philip S. ; Abachi, S. ; Beltrami, I. ; et al.
Phys.Rev.Lett. 56 (1986) 1346, 1986.
Inspire Record 17781 DOI 10.17182/hepdata.20257

This paper presents measurements of the inclusive production cross sections of Λ baryons in e+e− annihilations at s=29 GeV. The data sample corresponds to an integrated luminosity of 256 pb−1 collected with the High-Resolution Spectrometer at the SLAC storage ring PEP. Comparisons are made to the predictions of the Lund model. The data are well described with use of a strange-diquark suppression parameter, (usud)(sd), of 0.89 ± 0.10−0.16+0.56, and the measured Λc→Λ+X branching ratio of (23 ± 10)%.

3 data tables

No description provided.

Rapidity relative to thrust axis.

Corrected for unobserved moment regions.


$\pi^+$ 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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A Measurement of asymmetry in the decay lambda(c)+ ---> lambda pi+

The ARGUS collaboration Albrecht, H. ; Ehrlichmann, H. ; Hamacher, T. ; et al.
Phys.Lett.B 274 (1992) 239-245, 1992.
Inspire Record 319105 DOI 10.17182/hepdata.29262

Using the ARGUS detector at the e + e − storage ring DORIS II at DESY, we have observed parity violation in the decay Λ ± c → Λπ ± . We measure the coefficient of parity violation, α Λ c , to be −0.96±0.42. In addition, we measure σ BR ( Λ + c → Λπ + and σ BR ( Λ + c → Σ 0 π + ) to be, respectively, (2.2±0.3±0.4) pb and (2.0±0.7±0.4) pb.

1 data table

No description provided.


A STUDY OF DELTA++ AND DELTA0 ISOBAR INCLUSIVE PRODUCTION IN K- p INTERACTIONS AT 32-GeV/c

Babintsev, V.V. ; Bogolyubsky, M.Yu. ; Bumazhnov, V.A. ; et al.
Sov.J.Nucl.Phys. 39 (1984) 414, 1984.
Inspire Record 190556 DOI 10.17182/hepdata.41019
22 data tables

No description provided.

No description provided.

EVENTS WITH IDENTIFIED PROTONS.

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A Search for Elastic Nondiagonal Lepton Pair Production in $e^+ e^-$ Annihilation at $\sqrt{s}=29$-{GeV}

Gomez Cadenas, J.J. ; Heusch, C.A. ; Abrams, G.S. ; et al.
Phys.Rev.Lett. 66 (1991) 1007-1010, 1991.
Inspire Record 295203 DOI 10.17182/hepdata.19918

We have searched for the annihilation of e+e− into the exclusive channels e±τ∓ and μ±τ∓ at √s =29 GeV, using 226 and 133 pb−1, respectively, of data taken with the Mark II detector at the SLAC storage ring PEP. The resulting candidate sample is compatible with the expected background from τ pair production. Our analysis yields 95%-C.L. cross-section limits of σeτ/σμμ<1.8×10−3 and σμτ/σμμ<6.1×10−3, where σμμ is the QED cross section for production of a lepton pair. This is the first high-Q2 test of lepton-flavor conservation involving τ leptons.

1 data table

95 pct confidence upper limits.


A Spin parity analysis of gamma gamma ---> rho+ rho-

The ARGUS collaboration Albrecht, H. ; Ehrlichmann, H. ; Hamacher, T. ; et al.
Phys.Lett.B 267 (1991) 535-540, 1991.
Inspire Record 315058 DOI 10.17182/hepdata.29334

A spin-parity analysis of the ϱ + ϱ − system in the reaction γγ→ϱ + ϱ − →Π + Π − Π 0 Π 0 has been performed using the ARGUS detector at the e + e − storage ring DORIS II at DESY. The cross section is found to be dominated by the amplitudes J P = 0 + and J P = 2 + ( J z = 2).

2 data tables

No description provided.

Cross section for different JP states.


A Study of the Structure of the Events With the Multiparticle Diffraction Dissociation in $K^- p$ Exclusive Reactions at 32-{GeV}/$c$

The French-Soviet & CERN-Soviet collaborations Arestov, Yu.I. ; Bogolyubsky, M.Yu. ; Levitsky, M.S. ; et al.
Sov.J.Nucl.Phys. 32 (1980) 353, 1980.
Inspire Record 144636 DOI 10.17182/hepdata.17869

None

22 data tables

292+-7 MUB - CORRECTED VALUE FOR FIRST REACTION (SLOW PROTONS). M(P 4PI) <= 3.5 GEV FOR REACTIONS WITH FOUR PIONS.

No description provided.

No description provided.

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A kinematically complete measurement of the proton structure function F2 in the resonance region and evaluation of its moments.

The CLAS collaboration Osipenko, M. ; Ricco, G. ; Taiuti, M. ; et al.
Phys.Rev.D 67 (2003) 092001, 2003.
Inspire Record 612145 DOI 10.17182/hepdata.12253

We measured the inclusive electron-proton cross section in the nucleon resonance region (W < 2.5 GeV) at momentum transfers Q**2 below 4.5 (GeV/c)**2 with the CLAS detector. The large acceptance of CLAS allowed for the first time the measurement of the cross section in a large, contiguous two-dimensional range of Q**2 and x, making it possible to perform an integration of the data at fixed Q**2 over the whole significant x-interval. From these data we extracted the structure function F2 and, by including other world data, we studied the Q**2 evolution of its moments, Mn(Q**2), in order to estimate higher twist contributions. The small statistical and systematic uncertainties of the CLAS data allow a precise extraction of the higher twists and demand significant improvements in theoretical predictions for a meaningful comparison with new experimental results.

46 data tables

No description provided.

No description provided.

No description provided.

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A measurement of R(b) using a double tagging method.

The OPAL collaboration Abbiendi, G. ; Ackerstaff, K. ; Alexander, G. ; et al.
Eur.Phys.J.C 8 (1999) 217-239, 1999.
Inspire Record 476786 DOI 10.17182/hepdata.49348

The fraction of Z to bbbar events in hadronic Z decays has been measured by the OPAL experiment using the data collected at LEP between 1992 and 1995. The Z to bbbar decays were tagged using displaced secondary vertices, and high momentum electrons and muons. Systematic uncertainties were reduced by measuring the b-tagging efficiency using a double tagging technique. Efficiency correlations between opposite hemispheres of an event are small, and are well understood through comparisons between real and simulated data samples. A value of Rb = 0.2178 +- 0.0011 +- 0.0013 was obtained, where the first error is statistical and the second systematic. The uncertainty on Rc, the fraction of Z to ccbar events in hadronic Z decays, is not included in the errors. The dependence on Rc is Delta(Rb)/Rb = -0.056*Delta(Rc)/Rc where Delta(Rc) is the deviation of Rc from the value 0.172 predicted by the Standard Model. The result for Rb agrees with the value of 0.2155 +- 0.0003 predicted by the Standard Model.

1 data table

Second systematic error depends on Rc=Delta(R_c)/R_c ratio, where Delta(R_c) is the deviation of R_c from the value 0.172 predicted by the Standard Model.


A new measurement of the rare decay eta -> pi^0 gamma gamma with the Crystal Ball/TAPS detectors at the Mainz Microtron

The A2 at MAMI collaboration Nefkens, B.M.K. ; Prakhov, S. ; Aguar-Bartolome, P. ; et al.
Phys.Rev.C 90 (2014) 025206, 2014.
Inspire Record 1297221 DOI 10.17182/hepdata.64169

A new measurement of the rare, doubly radiative decay eta->pi^0 gamma gamma was conducted with the Crystal Ball and TAPS multiphoton spectrometers together with the photon tagging facility at the Mainz Microtron MAMI. New data on the dependence of the partial decay width, Gamma(eta->pi^0 gamma gamma), on the two-photon invariant mass squared, m^2(gamma gamma), as well as a new, more precise value for the decay width, Gamma(eta->pi^0 gamma gamma) = (0.33+/-0.03_tot) eV, are based on analysis of 1.2 x 10^3 eta->pi^0 gamma gamma decays from a total of 6 x 10^7 eta mesons produced in the gamma p -> eta p reaction. The present results for dGamma(eta->pi^0 gamma gamma)/dm^2(gamma gamma) are in good agreement with previous measurements and recent theoretical calculations for this dependence.

1 data table

D(WIDTH(ETA --> PI0 GAMMA GAMMA))/DM**2(GAMMA GAMMA) obtained from the data of 2007 and 2009 and their average. The error on the average is the total error.


A simultaneous measurement of the QCD colour factors and the strong coupling.

The OPAL collaboration Abbiendi, G. ; Ainsley, C. ; Akesson, P.F. ; et al.
Eur.Phys.J.C 20 (2001) 601-615, 2001.
Inspire Record 552446 DOI 10.17182/hepdata.49851

Using data from e+e- annihilation into hadrons, taken with the OPAL detector at LEP at the Z pole between 1991 and 1995, we performed a simultaneous measurement of the colour factors of the underlying gauge group of the strong interaction, CF and CA, and the strong coupling, alpha(s). The measurement was carried out by fitting next-to-leading order perturbative predictions to measured angular correlations of 4-jet events together with multi-jet related variables. Our results, CA = 3.02 +/- 0.25 (stat.) +/- 0.49 (syst.), CF = 1.34 +/- 0.13 (stat.) +/- 0.22 (syst.), alpha(s)(M_Z) = 0.120 +/- 0.011 (stat.) +/- 0.020 (syst.), provide a test of perturbative QCD in which the only assumptions are non-abelian gauge symmetry and standard hadronization models. The measurements are in agreement with SU(3) expectations for CF and CA and the world average of alpha(s)(M_Z).

1 data table

CA, CF are the color factors for SU(N) group.


A study of parton fragmentation in hadronic Z0 decays using Lambda Antilambda correlations.

The OPAL collaboration Abbiendi, G. ; Ackerstaff, K. ; Alexander, G. ; et al.
Eur.Phys.J.C 13 (2000) 185-195, 2000.
Inspire Record 474010 DOI 10.17182/hepdata.49312

The correlated production of Lambda and Lambdabar baryons has been studied using 4.3 million multihadronic Zo decays recorded with the OPAL detector at LEP. Di-lambda pairs were investigated in the full data sample and for the first time also in 2-jet and 3-jet events selected with the k_t algorithm. The distributions of rapidity differences from correlated Lambda-Lambdabar pairs exhibit short-range, local correlations and prove to be a sensitive tool to test models, particularly for 2-jet events. The JETSET model describes the data best but some extra parameter tuning is needed to improve agreement with the experimental results in the rates and the rapidity spectra simultaneously. The recently developed modification of JETSET, the MOdified Popcorn Scenarium (MOPS), and also HERWIG do not give satisfactory results. This study of di-lambda production in 2- and 3-jet events supports the short-range compensation of quantum numbers.

5 data tables

Average multipicity of LAMBDA pairs in hadronic events.

Average multipicity of LAMBDA pairs in 2-Jet events.

Average multipicity of LAMBDA pairs in 3-Jet events.

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A study of spin alignment of rho(770)+- and omega(782) mesons in hadronic Z0 decays.

The OPAL collaboration Abbiendi, G. ; Ackerstaff, K. ; Alexander, G. ; et al.
Eur.Phys.J.C 16 (2000) 61-70, 2000.
Inspire Record 502750 DOI 10.17182/hepdata.49099

The helicity density matrix elements rho[00] of rho(770)+- and omega(782) mesons produced in Z decays have been measured using the OPAL detector at LEP. Over the measured meson energy range, the values are compatible with 1/3, corresponding to a statistical mix of helicity -1, 0 and +1 states. For the highest accessible scaled energy range 0.3 < x_E < 0.6, the measured rho[00] values of the rho(770)+- and the omega are 0.373 +- 0.052 and 0.142 +- 0.114, respectively. These results are compared to measurements of other vector mesons.

2 data tables

The errors are statistical and systematic unceratinties added in quadrature. The statistical errors (STAT=...) are also given.

The errors are statistical and systematic unceratinties added in quadrature. The statistical errors (STAT=...) are also given.


ANALYSIS OF EXCLUSIVE REACTIONS IN K- p INTERACTIONS AT 32-GeV/c IN TERMS OF MULTIPARTICLE VARIABLES

Bogolyubsky, M.Yu. ; Kostka, P. ; Givernaud, A. ; et al.
Yad.Fiz. 32 (1980) 141-155, 1980.
Inspire Record 144639 DOI 10.17182/hepdata.2697

None

52 data tables

No description provided.

DIFFRACTION DISSOCIATION EVENTS.

NON-DIFFRACTION EVENTS.

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ANGULAR AND ENERGY CHARACTERISTICS OF SECONDARY CHARGED PARTICLES FROM ANTI-PROTON PROTON INTERACTIONS AT 22.4-GEV/C MOMENTUM

Boos, E.G. ; Ermilova, D.I. ; Samoilov, V.V. ; et al.
Alma Ata Inst. High Energy Phys. Acad. Sci. - 85-04 (rec.Jul.86) 19 p, 1984.
Inspire Record 210833 DOI 10.17182/hepdata.13427

None

58 data tables

No description provided.

No description provided.

No description provided.

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AZIMUTHAL CORRELATIONS BETWEEN SECONDARY CHARGED HADRONS IN K- p INTERACTIONS AT 32-GeV

Ukhanov, M.N. ; Bogolyubsky, M.Yu. ; Bumazhnov, V.A. ; et al.
Sov.J.Nucl.Phys. 45 (1987) 640, 1987.
Inspire Record 230985 DOI 10.17182/hepdata.10413

None

14 data tables

No description provided.

No description provided.

No description provided.

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Accurate Test of Chiral Dynamics in the \boldmath$\gamma p \rightarrow \pi^0p$ Reaction

The A2 & CB-TAPS collaborations Hornidge, D. ; Aguar Bartolome, P. ; Annand, J.R.M. ; et al.
Phys.Rev.Lett. 111 (2013) 062004, 2013.
Inspire Record 1203736 DOI 10.17182/hepdata.127967

A precision measurement of the differential cross sections $d\sigma/d\Omega$ and the linearly polarized photon asymmetry $\Sigma \equiv (d\sigma_\perp - d\sigma_\parallel) \slash (d\sigma_\perp + d\sigma_\parallel)$ for the $\vec{\gamma} p \rightarrow \pi^0p$ reaction in the near-threshold region has been performed with a tagged photon beam and almost $4\pi$ detector at the Mainz Microtron. The Glasgow-Mainz photon tagging facility along with the Crystal Ball/TAPS multi-photon detector system and a cryogenic liquid hydrogen target were used. These data allowed for a precise determination of the energy dependence of the real parts of the $S$- and all three $P$-wave amplitudes for the first time and provide the most stringent test to date of the predictions of Chiral Perturbation Theory and its energy region of agreement with experiment.

56 data tables

Differential cross section at W=1.0752268 GeV

Differential cross section at W=1.0773190 GeV

Differential cross section at W=1.0793464 GeV

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Analyzing Power in Inclusive $\pi^+$ and $\pi^-$ Production at High $\chi_F$ with a 200 GeV Polarized Proton Beam

The FNAL-E704 collaboration Adams, D.L. ; Akchurin, N. ; Belikov, N.I. ; et al.
Phys.Lett.B 264 (1991) 462-466, 1991.
Inspire Record 315569 DOI 10.17182/hepdata.29360

The analyzing power in inclusive charged pion production has been measured using the 200 GeV Fermilab polarized proton beam. A striking dependence in x F is observed in which A N increases from 0 to 0.42 with increasing x F for the π + data and decreases from 0 to −0.38 with increasing x F for π − data. The kinematic range covered is 0.2⩽ x F ⩽0.9 and 0.2⩽ p T ⩽2.0 GeV / c . In a simple model our data indicate that at large x F the transverse spin of the proton is correlated with that of its quark constituents.

7 data tables

Integrated over all PT.

Integrated over all PT.

No description provided.

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Analyzing power measurement in inclusive Lambda0 production with a 200-GeV/c polarized proton beam

The E704 collaboration Bravar, A. ; Adams, D.L. ; Akchurin, N. ; et al.
Phys.Rev.Lett. 75 (1995) 3073-3077, 1995.
Inspire Record 406598 DOI 10.17182/hepdata.19610

The considerable polarization of hyperons produced at high xF has been known for a long time and has been interpreted with various theoretical models in terms of the constituents' spin. Recently, the analyzing power in inclusive Λ0 hyperon production has also been measured using the 200GeV/c Fermilab polarized proton beam. The covered kinematic range is 0.2≤xF≤1.0 and 0.1≤pT≤1.5GeV/c. The data indicate a negative asymmetry at large xF and moderate pT. These results can further test the current ideas on the underlying mechanisms for hyperon polarization.

6 data tables

No description provided.

No description provided.

No description provided.

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Analyzing power measurement of p p elastic scattering in the Coulomb - nuclear interference region with the 200-GeV/c polarized proton beam at Fermilab

The E581/704 collaboration Akchurin, N. ; Langland, J. ; Onel, Y. ; et al.
Phys.Rev.D 48 (1993) 3026-3036, 1993.
Inspire Record 364576 DOI 10.17182/hepdata.22670

The analyzing power AN of proton-proton elastic scattering in the Coulomb-nuclear interference region has been measured using the 200-GeV/c Fermilab polarized proton beam. A theoretically predicted interference between the hadronic non-spin-flip amplitude and the electromagnetic spin-flip amplitude is shown for the first time to be present at high energies in the region of 1.5 × 10−3 to 5.0 × 10−2 (GeV/c)2 four-momentum transfer squared, and our results are analyzed in connection with theoretical calculations. In addition, the role of possible contributions of the hadronic spin-flip amplitude is discussed.

1 data table

No description provided.


Asymmetry in $\pi^- P$ (Polarized) Elastic Scattering in Momentum Range 1.4-{GeV}/c - 2.1-{GeV}/c

Alekseev, I.G. ; Budkovsky, P.E. ; Kanavets, V.P. ; et al.
Nucl.Phys.B 348 (1991) 257-275, 1991.
Inspire Record 285067 DOI 10.17182/hepdata.33071

Results of systematic measurements of the asymmetry parameter in the elastic scattering of pions on polarized protons at 1.4–2.1 GeV/ c in the backward hemisphere are presented together with a test of the isospin invariance of the data set available on pion-proton scattering in the investigated momentum range. The transversity isodoublet amplitudes at 1.98 and 2.07 GeV/ c are reconstructed. The obtained data, the isospin analysis and amplitude reconstruction results are compared with the current phase-shift analysis predictions.

1 data table

No description provided.


Asymmetry in the Angular Distribution of Inclusive $\Lambda$ Baryons From $e^+ e^-$ Annihilations at $\sqrt{s}=29$-{GeV}

Abachi, S. ; Baringer, Philip S. ; Bylsma, B.G. ; et al.
Phys.Lett.B 181 (1986) 403-406, 1986.
Inspire Record 18955 DOI 10.17182/hepdata.30215

A forward-backward asymmetry A , consistent with that expected from the γ − Z 0 interference term in the process e + e − → q q , is observed in the laboratory production angular distribution of high-momentum ∧ baryons. The data were collected with the High Resolution Spectrometer at PEP. The asymmetry for ∧ baryons with fractional energy z= 2E s greater than 0.3 is A = (−23± 8 plusmn ; 2)%.

2 data tables

No description provided.

Data read from graph.


BOSON RESONANCES PRODUCTION IN anti-p p INTERACTIONS AT 32-GeV/c

Kozlovsky, E.A. ; Bumazhnov, V.A. ; Zakamsky, L.L. ; et al.
Sov.J.Nucl.Phys. 44 (1986) 624-630, 1986.
Inspire Record 223220 DOI 10.17182/hepdata.40834

None

14 data tables

No description provided.

No description provided.

No description provided.

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Beam Asymmetry $\mathbf{\Sigma}$ for the Photoproduction of $\mathbf{\eta}$ and $\mathbf{\eta^{\prime}}$ Mesons at $\mathbf{E_{\gamma}=8.8}$GeV

The GlueX collaboration Adhikari, S. ; Ali, A. ; Amaryan, M. ; et al.
Phys.Rev.C 100 (2019) 052201, 2019.
Inspire Record 1749712 DOI 10.17182/hepdata.110166

We report on the measurement of the beam asymmetry $\Sigma$ for the reactions $\vec{\gamma}p\rightarrow p\eta$ and $\vec{\gamma}p \rightarrow p\eta^{\prime}$ from the GlueX experiment, using an 8.2--8.8 GeV linearly polarized tagged photon beam incident on a liquid hydrogen target in Hall D at Jefferson Lab. These measurements are made as a function of momentum transfer $-t$, with significantly higher statistical precision than our earlier $\eta$ measurements, and are the first measurements of $\eta^{\prime}$ in this energy range. We compare the results to theoretical predictions based on $t$--channel quasi-particle exchange. We also compare the ratio of $\Sigma_{\eta}$ to $\Sigma_{\eta^{\prime}}$ to these models, as this ratio is predicted to be sensitive to the amount of $s\bar{s}$ exchange in the production. We find that photoproduction of both $\eta$ and $\eta^{\prime}$ is dominated by natural parity exchange with little dependence on $-t$.

3 data tables

Values and errors for the photon beam asymmetry $\Sigma_{\eta}$ for the reaction $\gamma p \rightarrow \eta p$ with $\eta\rightarrow\gamma\gamma$. For the binning in $t$, we report the range of the data, the event-weighted mean of all $t$ values, and the RMS of that distribution. For $\Sigma_{\eta}$, we report the value, statistical error, and systematic error. The total error is the sum of the previous two in quadrature. Not reported here is the $2.1\%$ relative uncertainty due to the determination of the polarization of the photon beam.

Values and errors for the photon beam asymmetry $\Sigma_{\eta\prime}$ for the reaction $\gamma p \rightarrow \eta^{\prime} p$ with $\eta^{\prime}\rightarrow \eta\pi^{+}\pi^{-}$ and the $\eta\rightarrow\gamma\gamma$. For the binning in $t$, we report the range of the data, the event-weighted mean of all $t$ values, and the RMS of that distribution. For $\Sigma_{\eta\prime}$, we report the value, statistical error, and systematic error. The total error is the sum of the previous two in quadrature. Not reported here is the $2.1\%$ relative uncertainty due to the determination of the polarization of the photon beam.

Values and errors for the ratio of photon beam asymmetries $\Sigma_{\eta\prime}/\Sigma_{\eta}$ for the reported reactions. To form the ratio, the $\eta$ analysis is done with the same binning in $t$ as the $\eta^\prime$ analysis, and for each bin we report the range of the data, the event-weighted mean of all $t$ values, and the RMS of that distribution. For $\Sigma_{\eta\prime}/\Sigma_{\eta}$, we report the value, statistical error, and systematic error. The total error is the sum of the previous two in quadrature.}