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Light isovector resonances in $\pi^- p \to \pi^-\pi^-\pi^+ p$ at 190 GeV/${\it c}$

The COMPASS collaboration Aghasyan, M. ; Alexeev, M.G. ; Alexeev, G.D. ; et al.
Phys.Rev.D 98 (2018) 092003, 2018.
Inspire Record 1655631 DOI 10.17182/hepdata.82958

We have performed the most comprehensive resonance-model fit of $\pi^-\pi^-\pi^+$ states using the results of our previously published partial-wave analysis (PWA) of a large data set of diffractive-dissociation events from the reaction $\pi^- + p \to \pi^-\pi^-\pi^+ + p_\text{recoil}$ with a 190 GeV/$c$ pion beam. The PWA results, which were obtained in 100 bins of three-pion mass, $0.5 < m_{3\pi} < 2.5$ GeV/$c^2$, and simultaneously in 11 bins of the reduced four-momentum transfer squared, $0.1 < t' < 1.0$ $($GeV$/c)^2$, are subjected to a resonance-model fit using Breit-Wigner amplitudes to simultaneously describe a subset of 14 selected waves using 11 isovector light-meson states with $J^{PC} = 0^{-+}$, $1^{++}$, $2^{++}$, $2^{-+}$, $4^{++}$, and spin-exotic $1^{-+}$ quantum numbers. The model contains the well-known resonances $\pi(1800)$, $a_1(1260)$, $a_2(1320)$, $\pi_2(1670)$, $\pi_2(1880)$, and $a_4(2040)$. In addition, it includes the disputed $\pi_1(1600)$, the excited states $a_1(1640)$, $a_2(1700)$, and $\pi_2(2005)$, as well as the resonancelike $a_1(1420)$. We measure the resonance parameters mass and width of these objects by combining the information from the PWA results obtained in the 11 $t'$ bins. We extract the relative branching fractions of the $\rho(770) \pi$ and $f_2(1270) \pi$ decays of $a_2(1320)$ and $a_4(2040)$, where the former one is measured for the first time. In a novel approach, we extract the $t'$ dependence of the intensity of the resonances and of their phases. The $t'$ dependence of the intensities of most resonances differs distinctly from the $t'$ dependence of the nonresonant components. For the first time, we determine the $t'$ dependence of the phases of the production amplitudes and confirm that the production mechanism of the Pomeron exchange is common to all resonances.

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Real and imaginary parts of the normalized transition amplitudes $\mathcal{T}_a$ of the 14 selected partial waves in the 1100 $(m_{3\pi}, t')$ cells (see Eq. (12) in the paper). The wave index $a$ represents the quantum numbers that uniquely define the partial wave. The quantum numbers are given by the shorthand notation $J^{PC} M^\varepsilon [$isobar$] \pi L$. We use this notation to label the transition amplitudes in the column headers. The $m_{3\pi}$ values that are given in the first column correspond to the bin centers. Each of the 100 $m_{3\pi}$ bins is 20 MeV/$c^2$ wide. Since the 11 $t'$ bins are non-equidistant, the lower and upper bounds of each $t'$ bin are given in the column headers. The transition amplitudes define the spin-density matrix elements $\varrho_{ab}$ for waves $a$ and $b$ according to Eq. (18). The spin-density matrix enters the resonance-model fit via Eqs. (33) and (34). The transition amplitudes are normalized via Eqs. (9), (16), and (17) such that the partial-wave intensities $\varrho_{aa} = |\mathcal{T}_a|^2$ are given in units of acceptance-corrected number of events. The relative phase $\Delta\phi_{ab}$ between two waves $a$ and $b$ is given by $\arg(\varrho_{ab}) = \arg(\mathcal{T}_a) - \arg(\mathcal{T}_b)$. Note that only relative phases are well-defined. The phase of the $1^{++}0^+ \rho(770) \pi S$ wave was set to $0^\circ$ so that the corresponding transition amplitudes are real-valued. In the PWA model, some waves are excluded in the region of low $m_{3\pi}$ (see paper and [Phys. Rev. D 95, 032004 (2017)] for a detailed description of the PWA model). For these waves, the transition amplitudes are set to zero. The tables with the covariance matrices of the transition amplitudes for all 1100 $(m_{3\pi}, t')$ cells can be downloaded via the 'Additional Resources' for this table.

Decay phase-space volume $I_{aa}$ for the 14 selected partial waves as a function of $m_{3\pi}$, normalized such that $I_{aa}(m_{3\pi} = 2.5~\text{GeV}/c^2) = 1$. The wave index $a$ represents the quantum numbers that uniquely define the partial wave. The quantum numbers are given by the shorthand notation $J^{PC} M^\varepsilon [$isobar$] \pi L$. We use this notation to label the decay phase-space volume in the column headers. The labels are identical to the ones used in the column headers of the table of the transition amplitudes. $I_{aa}$ is calculated using Monte Carlo integration techniques for fixed $m_{3\pi}$ values, which are given in the first column, in the range from 0.5 to 2.5 GeV/$c^2$ in steps of 10 MeV/$c^2$. The statistical uncertainties given for $I_{aa}$ are due to the finite number of Monte Carlo events. $I_{aa}(m_{3\pi})$ is defined in Eq. (6) in the paper and appears in the resonance model in Eqs. (19) and (20).


Evidence for Non-Exponential Elastic Proton-Proton Differential Cross-Section at Low |t| and sqrt(s) = 8 TeV by TOTEM

The TOTEM collaboration Antchev, G. ; Aspell, P. ; Atanassov, I. ; et al.
Nucl.Phys.B 899 (2015) 527-546, 2015.
Inspire Record 1356731 DOI 10.17182/hepdata.73431

The TOTEM experiment has made a precise measurement of the elastic proton-proton differential cross-section at the centre-of-mass energy sqrt(s) = 8 TeV based on a high-statistics data sample obtained with the beta* = 90 optics. Both the statistical and systematic uncertainties remain below 1%, except for the t-independent contribution from the overall normalisation. This unprecedented precision allows to exclude a purely exponential differential cross-section in the range of four-momentum transfer squared 0.027 < |t| < 0.2 GeV^2 with a significance greater than 7 sigma. Two extended parametrisations, with quadratic and cubic polynomials in the exponent, are shown to be well compatible with the data. Using them for the differential cross-section extrapolation to t = 0, and further applying the optical theorem, yields total cross-section estimates of (101.5 +- 2.1) mb and (101.9 +- 2.1) mb, respectively, in agreement with previous TOTEM measurements.

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The elastic differential cross-section as determined in this analysis using the ''optimised'' binning.


Spin observables in neutron proton elastic scattering.

Ahmidouch, A. ; Arnold, J. ; van den Brandt, B. ; et al.
Eur.Phys.J.C 2 (1998) 627-641, 1998.
Inspire Record 471273 DOI 10.17182/hepdata.11376

The analyzing power,$A_{oono}$, and the polarization transfer observables$K_{onno}$,$K_{os''so}$

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Position 'A' (see text for explanation).

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Measurements of the two and three spin index observables in n p elastic scattering between 0.8-GeV and 1.1-GeV

Ball, J. ; Chesny, P. ; Combet, M. ; et al.
Z.Phys.C 61 (1994) 579-585, 1994.
Inspire Record 377674 DOI 10.17182/hepdata.14208

We present data of several rescattering observables measured inn p elastic scattering between 0.80 and 1.10 GeV. The SATURNE II polarized beam of free neutrons obtained from the break-up of polarized deuterons was scattered on the Saclay polarized frozen-spin proton target. Three different configurations of beam and target polarization directions were used: the observablesDonon andKonno were measured with the normal-normal spin configuration at eight energies;Nonkk,Dos″ok andKos″ko were determined with the longitudinal-longitudinal configuration at six energies;Nonsk,Dos″ok andKos″so with the sideway-longitudinal configuration at six energies. Part of the data was obtained with an unpolarized CH2 target where only the two spin-index polarization transfer parametersKos″ko andKos″so were determined. Data are compared with phase shift analyses predictions and with the LAMPF results at 0.788 GeV. Present results are the first measurements of rescattering observables above 0.80 GeV. They provide an important contribution to any future theoretical or phenomenological analysis.

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First measurement of D (0n 0n) in anti-p p elastic scattering

Kunne, R.A. ; Beard, C.I. ; Birsa, R. ; et al.
Phys.Lett.B 261 (1991) 191-196, 1991.
Inspire Record 316076 DOI 10.17182/hepdata.29400

The depolarization parameter D onon in p p elastic scattering has been measured at LEAR for thirteen momenta between 679 and 1550 MeV/c in the backward angular region. Striking disagreement with theoretical models is observed.

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n p elastic spin transfer measurements at 485-MeV and 635-MeV

McNaughton, K.H. ; Ambrose, D.A. ; Coffey, P. ; et al.
Phys.Rev.C 46 (1992) 47-51, 1992.
Inspire Record 342389 DOI 10.17182/hepdata.26097

We have measured the spin-transfer parameters KLL, KSL, KLS, and KSS at 635 MeV from 50° to 178° c.m. and at 485 MeV from 74° to 176° c.m. These new data have a significant impact on the phase-shift analyses. There are now sufficient data near these energies to overdetermine the elastic nucleon-nucleon amplitudes.

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Spin transfer parameters from np elastic scattering at 635 MeV. There is an additional overall normalisation of 2 PCT.

Spin transfer parameters from np elastic scattering at 485 MeV. There is an additional overall normalisation of 2 PCT.


Measurement of the spin correlation parameters A(00kk) and A(00sk) in n p elastic scattering at SATURNE-II

Ball, J. ; Chesny, P. ; Combet, M. ; et al.
Nucl.Phys.A 574 (1994) 697-715, 1994.
Inspire Record 383127 DOI 10.17182/hepdata.36564

We present a total of 191 and 203 data points of the elastic neutron-protonspin correlation parameters A ookk and A oosk , respectively. Both observables were measured in a large angular interval. The observable A ookk was measured from 0.312 to 1.10 GeV and A oosk from 0.80 to 1.10 GeV. The SATURNE II polarized beam of free neutrons obtained from the break-up of polarized deuterons was scattered on the polarized Saclay frozen-spin proton target. The beam polarization was oriented either along the beam direction or sideways, the target polarization was oriented longitudinally. Data are compared with phase-shift analyses predictions and with the PSI, LAMPF and SATURNE II results. Present results provide an important contribution to any future theoretical or phenomenological analysis.

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Measurement of the Spin Correlation A(ookk) in $N P$ Elastic Scattering Between 0.63-{GeV} and 1.08-{GeV}

Ball, J. ; Lac, C.D. ; Lehar, F. ; et al.
Z.Phys.C 40 (1988) 193-197, 1988.
Inspire Record 269772 DOI 10.17182/hepdata.15598

We present the measurements of the spin correlation parameterAookk(np). A longitudinally polarized beam of free neutrons obtained from the break-up of polarized deuterons was scattered on the longitudinally polarized Saclay frozen-spin proton target. Measurements were carried out at SATURNE II, at neutron beam kinetic energies of 0.63, 0.88, 0.98 and 1.08 GeV. The data points cover the angular region from about 40° to 110° CM. The observed angular dependence ofAookk(np) at 0.63 GeV agree with the phase shift analysis predictions except at small angles.

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First set of data is with neutron counter hodoscope. Second is using a charge-exchange in the carbon block.

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HYPERON POLARIZATION IN LAMBDA P ELASTIC SCATTERING IN THE RANGE 60-GEV/C < P < 380-GEV/C

Edelman, B. ; Bunce, G. ; Devlin, T. ; et al.
Phys.Rev.Lett. 40 (1978) 491-494, 1978.
Inspire Record 131690 DOI 10.17182/hepdata.20918

Polarization of the scattered Λ has been measured in the reaction Λ+p→Λ+p. A total of 90 000 elastic events was recorded. Polarization was observed which decreased in magnitude with increasing momentum. For 0.1<~|t|<~0.4 GeV2 the polarization is P=−0.21±0.07 for p=110 GeV/c and is +0.01±0.04 at p=320 GeV/c. Results for 860 Λ¯−p elastic scatterings are also presented.

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90000 ELASTIC EVENTS.

860 ELASTIC EVENTS.


Angular dependence of the spin correlation parameter A(oonn) in n p elastic scattering between 0.8-GeV and 1.1-GeV

Ball, J. ; Chesny, P. ; Combet, M. ; et al.
Nucl.Phys.A 559 (1993) 511-525, 1993.
Inspire Record 33733 DOI 10.17182/hepdata.36583

We present a total of 323 data points of the spin correlation parameter A oonn (np) in a large angular interval at eight energies between 0.8 and 1.1 GeV. The SATURNE II polarized beam of free neutrons obtained from the break-up of polarized deuterons was scattered on the polarized Saclay frozen-spin proton target. The present data are the first existing results above 0.8 GeV.

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