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.
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.
No description provided.
Experimental results are presented for the available channels in the 1.2 GeV/ c π + p interaction. An isobaric model with incoherent addition of the amplitudes is used to determine the π, Δ and N ∗ abundance rates in the π + π o p final state. The multipole parameters in the density matrix of the Δ ++ are determined as functions of its production angle.
No description provided.
LEGENDRE POLYNOMIAL FIT USED TO CORRECT FOR ELASTIC EVENTS LOST FROM THE FORWARD BIN.
No description provided.
New data are presented for the reaction K − p → Λπ + π − at 11 energies between 1775 and 1957 MeV in the centre-of-mass. New values for the masses and widths of the Σ ± (1385) are given. The differential cross sections and the complete spin density matrices for the reactions K − p → π ± Σ ∓ (1385) were extracted from these data using also the information from the Λ decay. An energy-dependent partial-wave analysis has been carried out over the c.m. range 1775–2170 MeV also using data from an earlier experiment. Comparisons between the observed resonant amplitudes and SU(3) and SU(6) W ⊎ O(3) predictions have been made.
No description provided.
LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTION OF CROSS SECTION.
LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTION OF DENSITY MATRIX ELEMENT RHO(MM=33,P=4,XYZ=SH).
We report a measurement of the differential cross section, d{\sigma}/d(cos {\theta}t), for top-quark-pair production as a function of the top-quark production angle in proton-antiproton collisions at sqrt{s} = 1.96 TeV. This measurement is performed using data collected with the CDF II detector at the Tevatron, corresponding to an integrated luminosity of 9.4/fb. We employ the Legendre polynomials to characterize the shape of the differential cross section at the parton level. The observed Legendre coefficients are in good agreement with the prediction of the next-to-leading-order standard-model calculation, with the exception of an excess linear-term coefficient, a1 = 0.40 +- 0.12, compared to the standard-model prediction of a1 = 0.15^{+0.07}_{-0.03}.
The parton-level Legendre moments for the measured angular distribution of the momentum direction of the t-quark from the momentum direction of the incoming proton.
Differential cross sections for $K^-$ radiative capture in flight on the proton, leading to the $\gamma\Lambda$ and $\gamma\Sigma^0$ final states, have been measured at eight $K^-$ momenta between 514 and 750 MeV/$c$. The data were obtained with the Crystal Ball multiphoton spectrometer installed at the separated $K/\pi$ beam line C6 of the BNL Alternating Gradient Synchrotron. The results substantially improve the existing experimental data available for studying radiative decays of excited hyperon states. An exploratory theoretical analysis is performed within the Regge-plus-resonance approach. According to this analysis, the $\gamma\Sigma^0$ final state is dominated by hyperonresonance exchange and hints at an important role for a resonance in the mass region of 1700 MeV. In the $\gamma\Lambda$ final state, on the other hand, the resonant contributions account for only half the strength, and the data suggest the importance of a resonance in the mass region of 1550 MeV.
Differential cross section for the K- P --> GAMMA LAMBDA reaction at thelower beam momenta.
Differential cross section for the K- P --> GAMMA LAMBDA reaction at thehigher beam momenta.
Differential cross section for the K- P --> GAMMA SIGMA0 reaction at thelower beam momenta.
Measurements of the total and differential cross sections of the reaction p p → K s K s are presented for values of s in the region near 2230 MeV. The 18 energies of the scan were chosen to permit a sensitive search for resonant structure related to the ¢E(2230) state in a channel with a minimal non-resonant background. No such structure is observed. Stringent limits for the branching ratio are set based on various assumptions for the width and spin of the ¢E.
No description provided.
No description provided.
Legendre polynomial fit to dsig/domega to order 0.
The angular distributions of the analyzing power A y and of the differential cross section d σ/ d Ω in p p elastic scattering have been measured at 439 and 544 MeV/c. The results of A y are compared with various theoretical models.
Data requested from authors.
Legendre fit polynomials.
Normalized Legendre fit polynomials.
The folded differential cross sections dσdΩ(θ*)+dσdΩ(π−θ*), where θ* is the center-of-mass angle of the negatively charged outgoing particle, have been measured for the reactions p¯p→π−π+ and K−K+ at 15 incident beam momenta between 360 and 760 MeV/c with much better statistics than previous experiments. The total cross sections for these reactions, σπ−π+ and σκ−κ+, have also been obtained by integrating the folded differential cross sections. The folded differential cross sections of both reactions show a similar behavior at all measured beam momenta, characterized by a prominent peak at |cosθ*|=1. The cross section σπ−π+ shows a smooth but rapidly decreasing behavior as the beam momentum increases up to 550 MeV/c, whereas σκ−κ+ shows a smooth and flat momentum dependence. These results are compared with some theoretical calculations based on nonrelativistic quark models. Although the shape of the folded differential cross section of the p¯p→π−π+ reaction is rather well reproduced by these models, that of the p¯p→K−K+ reaction, and, in particular, the prominent peak at |cosθ*|=1 cannot be explained at all. The information from other experiments indicates that this discrepancy is most pronounced at the backward angles. Moreover, the momentum dependence of both σπ−π+ and σκ−κ+ is not satisfactorily reproduced by these models.
Folded differential cross sections.
Folded differential cross sections.
Folded differential cross sections.
Polarization parameters for the π − p → π 0 n charge exchange scattering have been measured at eight beam momenta between 1965 and 4220 MeV/ c using two different experimental set-ups. The angular range covered is −0.90 < cos θ π ∗ < 0.95 at the five momenta of 1965, 2168, 2360, 2566 and 2960 MeV/ c , where θ π ∗ is the emission angle of the π 0 meson in the c.m.s.. For three momenta of 2770, 3490 and 4220 MeV/ c , the measurements cover the forward angles of 0.1 < cos θ π ∗ < 1.0 . The results are compared with the predictions of π N partial wave analyses.
Polarisation measurements from SETUP1. Errors are statistical only.
Polarisation measurements from SETUP2. Errors are statistical only.
Legendre polynomial coefficients for fit to differential cross section data.
The differential cross sections of p¯p elastic scattering have been measured at incident beam momenta of 390, 490, 590, 690, and 780 MeV/c. The results are compared with the predictions of various N¯N potential models. None of these models completely explains the present results.
No description provided.
Legendre expansion coefficients.
Differential cross sections have been measured for π+p and π−p elastic scattering at 378, 408, 427, 471, 509, 547, 586, 625, 657, and 687 MeV/c in the angular range -0.8<cosθc.m.<0.8. The scattered pion and recoil proton were detected in coincidence using scintillation-counter hodoscopes. A liquid-hydrogen target was used except for measurements at forward angles, in which a CH2 target was used. Statistical uncertainties in the data are typically less than 1%. Systematic uncertainties in acceptance and detection efficiency are estimated to be 1%. Absolute normalization uncertainties are 2–3 % for most of the data. The measurements are compared with previous data and with the results of recent partial-wave analyses. The data are fit with Legendre expansions from which total elastic cross sections are obtained.
Normalisation uncertainty = 3.1 pct.
Normalisation uncertainty = 4.1 pct.
Normalisation uncertainty = 2.1 pct.
The differential cross section for the reaction π + + d → p + p has been measured at pion momenta between 0.48 and 1.16 GeV c with steps of 20 and 40 GeV c for seven CM proton angles between 6° and 61°. At smaller angles, the measured cross sections show a dip at around 0.7 GeV c , while at larger angles the cross sections vary monotonically as a function of incident momentum. The angular distribution shows a considerably rapid variation with increasing momentum. Legendre polynomial fits of the data are presented.
No description provided.
LEGENDRE POLYNOMIAL COEFFICIENTS. NOTE THE FORM OF THE LEGENDRE EXPANSION DIFFERS BY A FACTOR P**-2 FROM THE CONVENTIONAL ONE.
We report here the results from an experiment to obtain differential cross sections for K−p elastic scattering in the laboratory momentum region from 1.4 to 1.9 GeV/c. These data span the region of a bump in the K−p total cross section at an energy of 2.05 GeV. Approximately 20000 elastic events were obtained at each of four momenta with an angular coverage of 0.9≥cosθc.m.≥−0.9. The data are intended to aid in phase-shift analyses of the resonances causing the bump in the total cross section and to study dip structures at constant values of the Mandelstam variables t and u.
No description provided.
LEGENDRE POLYNOMIAL COEFFICIENTS.
FROM INTEGRATING LEGENDRE POLYNOMIAL FIT TO D(SIG)/DOMEGA. QUOTED ERRORS INCLUDE NORMALIZATION AND FITTING UNCERTAINTIES.
The observation of 70 000 K 0 p π + events produced with K + incident momenta of 1.21, 1.29, 1.38 and 1.69 GeV/ c allows a detailed description of the production and decay of the Δ(1236) and K ∗ (892) resonances which dominate the K 0 p π + final state. No striking variations with energy are observed. The associated production of Δ and K ∗ near threshold shows striking similarities with the same production at higher energy.
INCLUDING 1 PCT SYSTEMATIC ERROR ON CORRECTIONS.
FIT 'A', ALLOWING FOR DELTA-K* INTERFERENCE (TWO OTHER FITS GIVEN IN PAPER).
S-CHANNEL HELICITY FRAME.
Cross sections of the reaction K − p → π + π − π 0 Λ are determined in a bubble chamber study at 10 incoming beam momenta between 1.425 GeV/ c and 1.800 GeV/ c . For the subsample K − p → ωΛ , cross sections and angular distributions are presented together with their Legendre polynomial expansions and those of the single and joint density matrix elements. An energy dependent partial-wave analysis is performed including earlier data. The data is well fitted by constant background amplitudes in the outgoing S, P and D waves plus two I = 0 resonances in this region, the well established G 7 Λ(2100) and the P 3 Λ(1870).
No description provided.
No description provided.
LEGENDRE POLYNOMIAL EXPANSION COEFFICIENTS OF D(SIG)/DOMEGA.
The angular distributions of the reactions K - p → K - p and K - p → K K 0 n have been measured at 23 incident K - momenta between 1.136 and 1.798 ifGeV/c using the bubble chamber technique. These data, together with other published data on the same reactions, including K - p polarisations, K̄N total cross sections, and measurements of Re ƒ(0)/ Im ƒ(0) , have been analysed in terms of partial-wave amplitudes. Resonance behaviour is confirmed for the P 03 partial wave at 1890 MeV. The resonance parameters of the F 15 (1915), F 17 (2030) and G 07 (2100) have been redetermined. No evidence has been found for new resonances coupling significantly to K K N in the energy region explored.
No description provided.
No description provided.
This paper presents the results of a study of the dominant neutral final states from π−p interactions. The data were obtained in an experiment performed at the Brookhaven National Laboratory Alternating Gradient Synchrotron, using a set of steel-plate optical spark chambers surrounding a liquid-hydrogen target. We present differential and total cross sections for the reactions (1) π−p→n+π0 and (2) π−p→n+η0(η0→2γ) and total cross sections for the reactions (3) π−p→n+kπ0 (k=2, 3, 4, and 5) and (4) π−p→all neutrals for eighteen values of beam momentum in the interval 1.3 to 4.0 GeV/c. The angular distributions for (1) and (2) have been analyzed in terms of expansions in Legendre polynomials, the coefficients for which are also given.
No description provided.
SIG = 4*PI*LEG(L=0).
FORWARD DIFFERENTIAL CROSS SECTION CALCULATED FROM LEGENDRE POLYNOMIAL COEFFICIENTS AND ERROR MATRICES.
The K − p reactions leading to charge exchange and hyperon final states have been studied at nine momenta between 862 and 1001 MeV/ c using data from a 600 000 picture exposure of the Lawrence Berkeley Laboratory 25″ liquid hydrogen bubble chamber. Partial cross sections are determined for all final states resolved by kinematic fitting. In addition, differential cross sections are presented for the two-body final states K o n , Λπ o and Σ +- π -+ along with hyperon polarization angular distributions for Λπ o and Σ + π − .
No description provided.
No description provided.
No description provided.
A simultaneous partial-wave analysis of the three final states K + p, K ∗ (892)N and KΔ(1236) is attempted using inelastic data with large statistics at 1.21, 1.29, 1.38 and 1.69 GeV/ c as well as existing data on the elastic reaction. The constraint of unitarity, which is almost saturated by these reactions, allows one to determine the size and relative phases of the dominant partial waves and to give some limits on the others. Their variation with energy is discussed, as well as the consistency of the different sets of elastic phase shifts with the inelastic data. We also compare the predictions of the duality hypothesis with the data.
No description provided.
We present results of a K − d experiment performed with the 81 cm Saclay deuterium bubble chamber which was exposed to a K − beam at 4 momenta between 680 and 840 MeV/ c at the CERN PS. Cross sections were measured for inelastic two- and three-body K − n reactions on the basis of 5200 events/mb. Resonance production in the three-body reactions is discussed. In addition, differential cross sections and polarisations are presented for inelastic two-body reactions.
CROSS SECTIONS FOR TWO-BODY REACTIONS.
CROSS SECTIONS FOR THREE-BODY REACTIONS.
CROSS SECTIONS FOR K- P REACTIONS.
Data are presented from a high statistics bubble chamber experiment to study K − p interactions in the c.m. energy range 1775 to 1957 MeV. For the reactions K − p → K − p, K − p → K 0 n , K − p → Λπ 0 and K − p → Σ ± π ∓ channel cross sections, differential cross sections and, where appropriate, polarisation distributions have been obtained. The channel cross sections for K − p → Σ 0 π 0 are presented. In general the results are in agreement with those previously published although a significant discrepancy has been found in the Σ ± π ∓ cross sections at the lower energies. New measurements of the Σ ± lifetimes have also been obtained ( τ Σ − = 1.49 ± 0.03 × 10 −10 sec, τ Σ + = 0.807 ± 0.013 × 10 −10 sec).
No description provided.
THE FORWARD DIFFERENTIAL CROSS SECTION IS THE EXTRAPOLATED VALUE OF THE LEGENDRE POLYNOMIAL FIT.
No description provided.
We present a partial wave amplitude analysis of the differential cross sections for p̄p → π 0 π 0 at 25 energies from 2.12 to 2.43 GeV. The results suggest the presence of a J PC I G = 2 ++ 0 + resonance at 2.15 GeV. An isospin decomposition of p̄p → π + π - is also presented.
THESE LEGENDRE COEFFICIENTS ARE TABULATED IN THE RECORD OF THE PRECEDING PAPER, R. S. DULUDE ET AL., PL 79B, 329 (1978).
We present measurements from a counter-optical spark chamber experiment of the differential cross sections for p̄p → π 0 π 0 , π 0 η 0 at 25 momenta in the range 1.1 − 2.0 GeV/ c (c.m. energy 2.12 to 2.43 GeV). Approximately 750 000 pictures were taken in the experiment.
THE ANGULAR DISTRIBUTIONS IN THE PUBLISHED FIGURES ARE NOT TABULATED HERE SINCE THEY ARE ONLY RECONSTRUCTED FROM THE LEGENDRE EXPANSION COEFFICIENTS WHICH WERE MEASURED DIRECTLY FROM THE DATA.
No description provided.
LEGENDRE COEFFICIENTS NORMALIZED SO THAT LEG(L=0) = SIG/(2*PI) (IDENTICAL PARTICLES IN FINAL STATE). THESE ARE PLOTTED IN FIG. 1 OF THE FOLLOWING PAPER.
New bubble chamber data on the reactions K − n → π 0 Σ 0 in the c.m. energy range 1750–2200 MeV are presented and are compared with the predictions of the most recent partial-wave analysis of the reaction K N → πΣ . The comparison stresses the need for data involving a single value of isotopic spin in the study of this reaction. An analysis of the new data yields two satisfactory solutions involving only well established resonances.
No description provided.
FERMI MOTION OF NEUTRON USED TO EXTRACT ENERGY DEPENDENCE.
NORMALIZED LEGENDRE COEFFICIENTS OF CROSS SECTION ANGULAR DISTRIBUTION.
We present extracted data for the pure I = 1 π 0 Λ (1520) channel from the reaction K − p → K − p π 0 at 11 incident momenta between 0.96 and 1.355 GeV/ c (1775 to 1960 MeV c.m. energy). A partial-wave analysis of this channel has been carried out over a broad c.m. energy range from 1710 to 2170 MeV using data at 27 momenta from this and earlier experiments. The 5 2 − Σ(1775) and built7 2 + Σ(2030) resonances are found to decay strongly to this channel. Amplitudes are also obtained for less dominant and less well-established resonances.
THESE CROSS SECTIONS ARE GIVEN IN TABLE 1B OF W. CAMERON ET AL., NP B146, 327 (1978).
LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTION OF CROSS SECTION.
LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTION OF DENSITY MATRIX ELEMENT RHO(MM=33,XYZ=SH).
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