High-Precision<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Total Cross Sections from 8 to 29 BeV/<i>c</i>

Foley, K. J.; Jones, R. S.; Lindenbaum, S. J.; Love, W. A.; Ozaki, Satoshi; Platner, E.D.; Quarles, C.A.; Willen, E.

doi:10.1103/physrevlett.19.330

Cited by 241 publications

(8 citation statements)

References 2 publications

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“…(8). We see, in fact, that B(k) is proportional to the real and imaginary part of dg R /dx\ x== i, which in turn contains terms in dPi(x)/ dx\ x== i=%l(l+l).…”

Section: A Relation Between B (K) and The Elastic Scattering Amplitudesmentioning

confidence: 92%

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Momentum Dependence of Diffraction Slopes in Meson-Nucleon Scattering

1969

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The slopes B (k) of the exponential forward peak for w^p and K^p elastic scattering have been surveyed in the region 0.3 K + p interactions, where resonance formation is weak (or absent), but also in w+p -t^p and K~p -» K~p interactions, where many prominent resonant states are formed. An explanation for the behavior of B (k) is presented, based on the properties of the logarithmic derivative of the differential cross section in the forward direction. As a quantitative illustration, B QI)K~ was derived in terms of a simple phenomenological model, which involves a linear superposition of diffractive-like and resonant amplitudes. In this way a fit to the B (k)x~ and K~p total-cross-section data could be obtained throughout the entire momentum region. The information which can be derived from the experimental study of B(k) is discussed; this has bearing on the determination of resonance properties and on the behavior of the spin-flip amplitude.

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“…(8). We see, in fact, that B(k) is proportional to the real and imaginary part of dg R /dx\ x== i, which in turn contains terms in dPi(x)/ dx\ x== i=%l(l+l).…”

Section: A Relation Between B (K) and The Elastic Scattering Amplitudesmentioning

confidence: 92%

“…Note that b' does not appear in Eq. (8) and cannot, therefore, be determined from a fit to B(k). At t-0, a parametrization similar to that for (4cir/k)Img D was used by Foley et al s to explain the high-energy behavior of the total cross sections.…”

Section: B Fit To B (K)kt and Total Krp Cross Sectionsmentioning

confidence: 98%

Momentum Dependence of Diffraction Slopes in Meson-Nucleon Scattering

1969

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“…In the simple assignments of Table IV these are the dlo(1), dI3(2) ?, and su (2) . However, there may be mixing of (8,2) and (8,4) for J =!, j which modifies (76) the expected result for dI3 (2) and su(2).…”

Section: 21mentioning

confidence: 96%

“…: According to the peripheral ap proach there should be no resonances. Consulting Table II, su(1), su (2), and Pal(l) are too high in energy (having t=O and 1) for the peripheral approach to apply. To j3 6(1) the peripheral approach should apply but there is strong inelasticity so CDD pole considerations apply; dlo(1) is marginal in energy and again eDD considerations may apply.…”

Section: Pion-nucleon Interactionsmentioning

confidence: 98%

Pion-Nucleon Interactions

Moorhouse¹

1969

Annu. Rev. Nucl. Sci.

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“…From these data and by using Eq. (3 ·15), 1 T(l) (8, 1, 1/2, +) 1 2 , 1 T(l) (8, 1, 1/2, -) 12 and cos Cfh can be obtained and they are shown in Fig. 9.…”

Section: (3·4)mentioning

confidence: 99%

Experimental Analyses of theSU(3) Symmetry in High Energy Two-Body and Quasi-Two-Body Scattering

1968

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Validity of the SU(3) symmetry of the high energy two-body and quasi-two-body reaction is investigated in a small momentum transfer region by analyzing the experimental data. The scattering amplitudes are represented in terms of the t-channel amplitudes which are specified by the SU(3) multiplet, the hypercharge and the isotopic spin in the t-channel. Furthermore the octet and singlet dominance is assumed, because the assumption seems to be consistent with the experimental data presently available. It is shown that the SU(3) symmetry is not seriously broken in the reactions for the type of PsBs->PsB s , P s and Bs being the octet pseudoscalar meson and the octet baryon, respectively. In contrast, the symmetry is shown to be broken in the decuplet baryon (BlO*) production PsBs--'7PsBlO*. The breaking of the symmetry becomes larger· with increasing energy. Angular distributions for several reactions and the real to imaginary ratios of the forward scattering amplitude for the reactions n-p->non, n-p--'71jsn, K-p->Kon and K+n->Kop are predicted. § 1. IntroductionSince the Sakata modeP) and the 1-0-0 2 ) symmetry were proposed, many authors have presented the theories of symmetry such as the SU (3) ,3) SU(6)4) and many higher symmetries. The higher symmetries, however, do not seem so fruitful except for the SU(3) and the SU(6) symmetries. The SU(6) symmetry is not necessarily appropriate at high energy scatterings, though it succeeded in the classification of elementary particles and quasi-static phenomena. From the viewpoint of the SU(3) symmetry high energy two-body and quasi-two-body reactions have been discussed by many authors.5) In this paper, however, we will try to examine to what extent the SU(3) symmetry holds in the high energy two-body and quasi-two-body reactions by assuming that the scattering amplitude :lS specified not only by the dimension D of the SU(3) multiplet, but also by the hyper charge Y, the isotopic spin I and the baryon number B. *) (Also see : § 5.) The SU(3) symmetry in the region of small momentum transfer is treated with, where much experimental data are available.At first we will explicitely write down the scattering amplitude for each reaction in terms of the independent amplitude in the t-channel. The magnitudes of the t-channel amplitudes and the relative phase among them are determined *) In the SU (3) symmetry limit the scattering amplitude is specified only by the demension D of the SU(3) multiplet and is independent of Y and 1.6) at

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High-Precisionπ±−pTotal Cross Sections from 8 to 29 BeV/c

Cited by 241 publications

References 2 publications

Momentum Dependence of Diffraction Slopes in Meson-Nucleon Scattering

Momentum Dependence of Diffraction Slopes in Meson-Nucleon Scattering

Pion-Nucleon Interactions

Experimental Analyses of theSU(3) Symmetry in High Energy Two-Body and Quasi-Two-Body Scattering

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