Regge-Pole Eikonal Theory of Small-Angle Pion-Nucleon Scattering

Arnold, R.C.; Blackmon, Maurice L.

doi:10.1103/physrev.176.2082

Cited by 129 publications

(14 citation statements)

References 9 publications

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“…10), these values of C and /J are determined so as to match the highest-energy (above 20 Ge V) elastic scattering data. Thus, for the Pomeron amplitude, essentially we followed Ref.…”

Section: Parametrization Of Pomeron-exchange Amplitudementioning

confidence: 99%

Fixed-Pole Effects on Exchange-Degenerate Regge Residues and πNScattering

Itabashi

Kohsaka

1972

Prog. Theor. Phys.

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A Regge parametrization proposed in a previous paper is examined extensively for nN scattering and is shown to lead to an overall nice fit to the experimental data. The Regge cuts due to absorption and double-Regge-exchange corrections are included. The proposed parametrization is based on an idea of very strong exchange degeneracy (VSED) with helicityconserving no-compensation mechanism and on the violation of this primordial VSED scheme by the effects of fixed poles at nonsense wrong signature point. In particular it is shown that the relatively small amount of these fixed-pole effects is sufficient to reproduce all the desired features of nN scattering. at University of Massachusetts Medical School on March 16, 2015 http://ptp.oxfordjournals.org/ Downloaded from Fixed-Pole Effects on Exchange-Degenerate Regge Residues and nN Scattering 935tant. In the present paper, taking into account the orders of magnitudes of various contributions (and also the manipulational convenience), we calculate up to the (R-P) and (R-R) cuts, where P and R represent respectively the Pomeron and relevant Regge (P' and p) exchanges, and (R-R), for example, stands for the Regge cut caused by double Regge exchange. In § 3, the relevant formulas are summarized and the details of the approximations are described. In § 4, the resultant cross sections and polarizations are compared with experiment, and some discussions of the results are presented. *l Throughout the present paper, nN~nN is called the s-channel, whereas nn~NN the tchannel.

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“…10), these values of C and /J are determined so as to match the highest-energy (above 20 Ge V) elastic scattering data. Thus, for the Pomeron amplitude, essentially we followed Ref.…”

Section: Parametrization Of Pomeron-exchange Amplitudementioning

confidence: 99%

Fixed-Pole Effects on Exchange-Degenerate Regge Residues and πNScattering

Itabashi

Kohsaka

1972

Prog. Theor. Phys.

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“…Recent polarization data of the pionnucleon charge-exchange reaction 1 have, however, shown strong disagreement with the predictions of the two most popular absorption models, the weakcut 2 and the strong-cut model 3 . In addition, these models were not able to describe the t = -0.6 GeV 2 dip structure in the differential cross sections of various inelastic two body processes consistently.…”

Section: Introductionmentioning

confidence: 99%

ππ and π^– p → π⁰n Scattering in a Multiple-Reggeon-Cut Dual Absorptive Model

Braun¹

1976

Zeitschrift Für Naturforschung A

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“…It is interesting to see that the resultant amplitude reduces to A 0 ' (t, u) at the threshold. As s-+4m, 2 , t--+0 and u--+0,…”

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confidence: 99%

Low Energy π-π Final State Interaction in the Veneziano Model

1972

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Low energy n-n interaction is studied in the Veneziano model. It is shown that the pure Veneziano model with p trajectory dominance can describe the 1=0, J=O low energy behavior of the n-n system qualitatively. It predicts the existence of e resonance which is considerably broader than the p resonance. The final state interaction effect characterized by two pion intermediate state is considered. It is concluded that the correction is small but in the correct direction for the energy region below e mass. In the e region it has the effect to produce a long shoulder which is favoured by the present experimental data. §I. IntroductionThe Veneziano model has the nice properties that it has correct asymptotic behavior and correct positions of resonances. 1 ) Therefore it usually predicts the correct angular distributions in the high energy limit and at the same time can fit the mass distributions qualitatively in the resonance energy region. However, a Veneziano model that takes care of the physical threshold branch points and satisfies the unitarity condition in a general sense is still lacking. There are some phenomenological models that remedy this defect partially. 2 ) Some of the calculations indicate that the experimental data are compatible with such models. 3 ) However, we may raise an interesting question that .how much has been improved by unitarizing the Veneziano model in some aspects. In the absence of a model that takes care of unitarity in a general sense the answer to the former question depends on the phenomenological model we are working with. In a previous communication we presented a final state interaction model that adds the twoparticle intermediate state contributions to the original Veneziano amplitude. 4 ) It was shown that the resultant amplitude maintains crossing symmetry, the correct high energy behavior and satisfies elastic unitarity condition approximately in the low energy region. The purpose of this work is to apply such a model to the rc-rc system to see how much effect will be produced. In § 2 we shall give a specific description of our model that applies to the rc-rc system. In § 3 we shall present our results of calculation.

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Regge-Pole Eikonal Theory of Small-Angle Pion-Nucleon Scattering

Cited by 129 publications

References 9 publications

Fixed-Pole Effects on Exchange-Degenerate Regge Residues and πNScattering

Fixed-Pole Effects on Exchange-Degenerate Regge Residues and πNScattering

ππ and π^– p → π⁰n Scattering in a Multiple-Reggeon-Cut Dual Absorptive Model

Low Energy π-π Final State Interaction in the Veneziano Model

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Regge-Pole Eikonal Theory of Small-Angle Pion-Nucleon Scattering

Cited by 129 publications

References 9 publications

Fixed-Pole Effects on Exchange-Degenerate Regge Residues and πNScattering

Fixed-Pole Effects on Exchange-Degenerate Regge Residues and πNScattering

ππ and π– p → π0n Scattering in a Multiple-Reggeon-Cut Dual Absorptive Model

Low Energy π-π Final State Interaction in the Veneziano Model

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ππ and π^– p → π⁰n Scattering in a Multiple-Reggeon-Cut Dual Absorptive Model