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Hanlon, J.; Brody, A.; Engelmann, R.; Kafka, T.; Wahl, H. D.; Seidl, A. A.; Toothacker, W. S.; Velde, J.C. Vander; Binkley, M.; Lys, J.; Murphy, C.T.; Dado, S.; Engler, A.; Keyes, G.; Kraemer, R. W.; Yekutieli, G.

doi:10.1103/physrevlett.37.967

Cited by 36 publications

(34 citation statements)

References 24 publications

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“…The relative fraction of the pomeron-exchange and pion-exchange reactions must not change from the pp scattering to the deep inelastic scattering energy region. In pp scattering, the total cross section of diffractive excitation of N * resonances and Nπ, Nππ continuum states is ∼ < 1 mb [23], which is much smaller than the p → n charge-exchange cross section of ∼ 10 mb [6][7][8]10,11]. Thus, we conclude that the background from the diffractive excitation of protons is negligibly small.…”

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confidence: 92%

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How to measure the pion structure function at HERA

et al. 1994

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We suggest a method of determination of the pion structure function down to x ≃ 10 −4 based on semi-exclusive deep inelastic scattering off protons.The idea is to exploit the nonperturbative πN and π∆ Fock components of the nucleon, which contribute significantly to deep inelastic scattering and dominate the fragmentation of protons into fast neutrons and deltas. The intrinsic factorization properties of the semi-exclusive cross section give a good test for the validity of this approach.Typeset using REVT E X 1

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confidence: 92%

“…one can use the data on the πp → n(∆)X inclusive reactions for the determination of the high-energy pion-pion total cross section (see [10,11] and references therein).…”

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confidence: 99%

How to measure the pion structure function at HERA

et al. 1994

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“…We complete this phenomenological discussion with a brief review of the experimental results for the ππ total cross sections obtained indirectly, from reactions like [7,9,10] and π ± p → ∆ ++ X, π ± n → pX [12,13]. Fig.…”

Section: Data On ππ Cross Sectionsmentioning

confidence: 99%

“…for √ s ≤ 1.15 GeV, but in order to use them we need an accurate evaluation of the driving terms. This calls for a better understanding of the imaginary parts at high energies and motivates the present work.For ππ scattering, several sets of data at high energies are available from indirect experiments [7][8][9][10][11][12][13]. These were analyzed in the late seventies, both in the frame of the Lovelace-Shapiro-Veneziano (LSV) model [14] and by means of various dispersive sum rules [15][16][17][18][19][20][21][22].…”

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confidence: 99%

Regge analysis of the ππ scattering amplitude

2012

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Abstract. The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the ππ scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the Roy equations (1.15 GeV) requires a more precise input at high energies. In this paper we determine the trajectories and residues of the leading Regge contributions to the ππ amplitude (Pomeron, f and ρ), using factorization, phenomenological parametrizations of the πN and N N total cross sections at high energy and a set of sum rules which connect the high and low energy properties of ππ scattering. We find that nonleading Regge terms are necessary in order to achieve a smooth transition from the partial waves to the Regge representation at or below 2 GeV. We obtain thus a Regge representation consistent both with the experimental information at high energies and the Roy equations for the partial waves with ℓ ≤ 4. The uncertainties in our result for the Regge parameters are sizable but in the solutions of the Roy equations, these only manifest themselves above KK threshold. MotivationLow energy pion physics has become a precision laboratory: the chiral symmetry properties of the Standard Model can now be compared with low energy precision experiments, using Chiral Perturbation Theory (χPT), dispersion theory and numerical simulations of QCD on a lattice. In principle, as illustrated by the prediction for the magnetic moment of the muon, physics beyond the Standard Model can show up at low energies, provided the quantity of interest can not only be measured accurately, but can also be calculated to sufficient precision. In this context, the interaction among the pions and in particular, the elastic ππ scattering amplitude play a crucial role.The Roy equations [1] provide a suitable framework for the low energy analysis of the ππ scattering amplitude, as they fully incorporate the basic properties that follow from analyticity, unitarity and crossing symmetry. They express the real parts of the partial waves as integrals over the imaginary parts that extend over all energies. The high energy behaviour of the imaginary parts thus enters the analysis, even if the Roy equations are evaluated only at low energy. More specifically, the contributions from the high energy region are contained in the so-called driving terms. Near the ππ threshold, these terms are very small. Accordingly, the results for the threshold parameters are not sensitive to the high energy contributions. The driving terms, however, grow with the energy. In [2,4], where the threshold parameters and the coupling constants of the effective chiral SU(2)×SU(2) Lagrangian relevant for ππ scattering are determined to high accuracy, the Roy equations are solved only below 0.8 GeV. On general grounds [1] these equations are valid in the region 1 s ≤ 68 M 2 π , i.e. for √ s ≤ 1.15 GeV, but in order to use them we need an accurate evaluation of the driving terms. This calls for a better understanding of the imaginary ...

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“…Our predictions for π − π − using both free and fixed A 0 are also shown. RWD data are from [36], Abramowicz et al data are from [39], Hanlon et al data are from [37].…”

Section: ππ Scatteringmentioning

confidence: 99%

Modeling pion and proton total cross-sections at LHC

et al. 2010

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To settle the question whether the growth with energy is universal for different hadronic total cross-sections, we present results from theoretical models for πp, and (pp,pp) total cross-sections. We show that present and planned experiments at LHC can differentiate between different models, all of which are consistent with presently available (lower energy) data . This study is also relevant for the analysis of those very high energy cosmic ray data which require reliable πp total cross-sections as seeds. A preliminary study of the total ππ cross-sections is also made.

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Inclusive Reactionsp+n→p+Xandπ++n→p+

Cited by 36 publications

References 24 publications

How to measure the pion structure function at HERA

How to measure the pion structure function at HERA

Regge analysis of the ππ scattering amplitude

Modeling pion and proton total cross-sections at LHC

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