Regge Pole Model for High-Energy<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Scattering

Hadjioannou, F. T.; Phillips, R. J.; Rarita, William

doi:10.1103/physrevlett.9.183

Cited by 41 publications

(6 citation statements)

References 6 publications

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“…The present p +p scattering results do show a shrinkage of this type consistent with the Regge pole prediction but the 7r" +p scattering shows no shrinkage, thus contradicting the assumption of dominance of the strong interactions by a single vacuum pole. Our results are also inconsistent with the predictions of the three-pole model of Hadjioannou et al 4 and Drell, 5 which was developed to explain the total cross-section data-which are inconsistent with single-pole prediction. In the three-pole model F in Eq.…”

contrasting

confidence: 99%

“…The vacuum pole analysis certainly fits and so would a simple three-pole analysis following the method of Hadjioannou et al 4 The fact that the slope is smaller than the original value proposed 1 is not significant, since this was merely a reasonable value. In a previous p+p (12-26 BeV/c, £ = 0-1) experiment and analysis, there is a log-log plot equivalent to our Fig.…”

Section: Giving Log [F/^t] =Logf+[2^a) -2]log(s/so) O' (2)mentioning

confidence: 85%

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7- to 20-BeV/cπ−+pandp+PElastic Scattering and Regge Pole Predictions

et al. 1963

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contrasting

confidence: 99%

Section: Giving Log [F/^t] =Logf+[2^a) -2]log(s/so) O' (2)mentioning

confidence: 85%

7- to 20-BeV/cπ−+pandp+PElastic Scattering and Regge Pole Predictions

et al. 1963

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“…The only strong evidence for a zero exists not for P, which is under consideration here, but for the oo pole. 10 Experimentally it is observed that at a given energy, dcr/dt for "pp at t= 0 is much larger than that for pp and falls off very rapidly as -2 increases. 11,12 In fact, it goes below the pp value at around -£-0.15.…”

Section: Ackn O Wledgmentsmentioning

confidence: 95%

“…i?i(0 = «r[(/-4m ir a )/(/+c)]>o, ^4w" 2 , e^ 1, (10) where X 0 =a(4w 2 7r )+i and c is a positive constant. There is an additional logarithmic factor in (10) which has a negative sign near threshold but becomes positive eventually.…”

Section: Ackn O Wledgmentsmentioning

confidence: 99%

Diffraction Width in Terms off0and the Residue of the Pomeranchuk Pole

Desai

1964

Phys. Rev.

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Weidenmuller. 24 Nonradiative effects due to electron screening, nuclear electromagnetic form factor effects, iT-capture competition and second forbidden matrix element corrections seem to be agreed upon. 32 All of these effects are included in Table I.It is fair to say that a vector boson can explain the current muon lifetime discrepancy, although its mass should not be much greater than 500 MeV. If the indications from CERN 3 that M ~ 1.3M P are confirmed, we 32 L. Durand, L. F. Landowitz, and R. B. Marr, Phys. Rev. Letters 4, 620 (1960).T TNITARITY implies that a Regge-pole term U ftt)/i-*(t) (i) near a sharp resonance at t=to, aR(k) = l satisfies the relations PR~T (the width of the resonance) and &I<&PR-Since &R is positive at to, the latter condition implies that the phase of /3 must essentially be a multiple of 2TT at a resonance. 1 This is a strong restriction on the phase; the value it takes, namely, -0, 2w, etc., determines to a large extent how fast # or rather the reduced residue y (see below) falls off for /<0. The behavior in the negative t region is of some interest since it was pointed out recently 2 that if y of the Pomeranchuk pole (P) showed a sharp diffraction-type fall off for small -t, then the Regge-pole approximation 3 may still be adequate in explaining the high-energy behavior of scattering amplitudes. The question of shrinkage or absence of it can then be understood in terms of appropriate linear combinations of P with other important poles. 2 We shall show below that if f° lies on the P trajectory and if the phase is 2w at // then one obtains an exponential type falloff for small -/, with a width comparable to the one observed experimentally, and a power falloff * Work supported in part by the U. S. Atomic Energy Commission. 1 More precisely, 2mr-{-0(

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“…We have found the form of <}>i(s) appropriate to the Pomeranchuk trajectory which controls the diffraction peak, but the chief force in TT-TT scattering is the p trajectory exchange, and we need to know the behavior of its residue. Unfortunately, its contribution to N-N scattering, where it will account for the differences between p-p and n-p, is very small, 30 and so has not been determined. For TT-N scattering the p trajectory is important in the charge exchange process T~p->ir°n.…”

Section: The T Experimental Situationmentioning

confidence: 99%

Strip Approximation and the Shape of the Diffraction Peak

Collins

1967

Phys. Rev.

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It is pointed out that the sharpness of the diffraction peak is incompatible with the usual justification of the strip approximation to the Mandelstam representation. Discrepancies between the Regge residue functions needed to fit experiment and those obtained from dynamical calculations using the new form of the strip approximation are discussed. It is shown that if the correct shape of the diffraction peak is to be reproduced there are special requirements as to the form of the force-that it oscillate in sign within the strip-which are not satisfied by the Born approximation to that force. We indicate how the correct expression for the force may rectify this, and try to discover what difference having the right sort of residues would make in the slope of the trajectories in TT-TT scattering, by imposing the experimental shape on the residues artificially. The trajectory slopes are found to be improved, but the drastic nature of the change produced by imposing the experimental form on the output residues makes a bootstrap impossible if only the Born approximation to the force is used.

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Regge Pole Model for High-Energyp−pandp¯−pScattering

Cited by 41 publications

References 6 publications

7- to 20-BeV/cπ−+pandp+PElastic Scattering and Regge Pole Predictions

7- to 20-BeV/cπ−+pandp+PElastic Scattering and Regge Pole Predictions

Diffraction Width in Terms off0and the Residue of the Pomeranchuk Pole

Strip Approximation and the Shape of the Diffraction Peak

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