400-GeV/ c pp Elastic Scattering: Energy and Angle Dependence at High Momentum Transfer

We show that a new Regge trajectory with \alpha_{f_1} (0) \approx 1 and slope \alpha_{f_1}'(0) \approx 0 explains the features of hadron-hadron scattering and photoproduction of the rho and phi mesons at large energy and momentum transfer. This trajectory with quantum numbers P = C = +1 and odd signature can be considered as a natural partner of the Pomeron which has even signature. The odd signature of the new exchange leads to contributions to the spin-dependent cross sections, which do not vanish at large energy. The links between the anomalous properties of this trajectory, the axial anomaly and the flavor singlet axial vector f_1 (1285) meson are discussed.Comment: 20 pages, REVTeX, 8 figures (9 eps files), version to appear in Phys. Rev.

“…The vector-meson mass is m V and α P (t) is the Pomeron trajectory given by Eq. (19) with α P (0) = 1.08 and α ′ P = 1/s 0 = 0.25 GeV −2 . Other parameters are…”

Section: Vector Meson Photoproductionmentioning

confidence: 99%

New anomalous trajectory in Regge theory

Kochelev¹,

Min

et al. 2000

“…[8,9] are limited to |t| < 10 GeV 2 , while large angle data are available only at √ s = 27 GeV [10], presenting a |t| dependence approximately of the form |t| −8 [11], the magnitude of dσ eℓ /dt at a given large |t| being nearly energy independent [12]. In measurements of the differential cross section at √ s = 19 GeV for values of |t| in the range 5 -12 GeV 2 [10] the data points converge to those of √ s = 27 GeV for |t| ≈ 11 GeV 2 .…”

Section: Introductionmentioning

confidence: 99%

Zeros, dips, and signs inppandpp¯elastic amplitudes

Pereira

Ferreira

2000

The dips observed in the differential cross sections of elastic pp and pp scattering are studied in terms of the locations of the zeros of the real and imaginary parts of the amplitude and of the sign of real part at large |t|. It is confirmed that the differences in shapes of the dips in the pp and pp systems are determined by a change of sign of the real tail, which seems to be determined by perturbative QCD contributions.

“…We have found out and corrected some mistakes in the data base. Furtermore, we excluded from the final dataset the subsets [17] at √ s = 9.235 GeV, [18] at √ s = 19.47 and 27.43 GeV from pp data and [20] at …”

Section: B Differential Cross Sectionsmentioning

confidence: 99%

Elasticppandp¯pscattering in models with a unitarized Pomeron

Martynov

2007

Elastic scattering amplitudes dominated by the Pomeron singularity which obey the principal unitarity bounds at high energies are constructed and analyzed. Confronting the models of double and triple (at t = 0) Pomeron pole (supplemented by some terms responsible for the low energy behaviour) with existing experimental data on pp andpp total and differential cross sections at √ s ≥ 5 GeV and |t| ≤ 6 GeV 2 we are able to tune the form of the Pomeron singularity. Actually the good agreement with those data is received for both models though the behaviour given by the dipole model is more preferable in some aspects. The predictions made for the LHC energy values display, however, the quite noticeable difference between the predictions of models at t ≈ −0.4 GeV 2 . Apparently the future results of TOTEM will be more conclusive to make a true choice.