Field-Theoretic Model for Low-Energy <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>J</mi><mo>=</mo><mrow><msup><mrow><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow><mrow><mo>+</mo></mrow></msup></mrow></math></span> <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>p</mi></math></span> Scattering

L. B. Rédei

doi:10.1103/PhysRevD.3.1650

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Field-Theoretic Model for Low-Energy $J = {\frac{3}{2}}^{+}$ $K^{+} p$ Scattering

L. B. Rédei

Department of Theoretical Physics, University of Umeå, Umeå, Sweden

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Phys. Rev. D 3, 1650 – Published 1 April, 1971Erratum Phys. Rev. D 4, 2940 (1971)

DOI: https://doi.org/10.1103/PhysRevD.3.1650

Abstract

Assuming broken $S U_{3}$ Yakawa coupling between the octet baryons and pseudoscalar octet mesons, we discuss low-energy $K^{+} p$ scattering. We obtain a broad ( $Γ = 1000$ MeV) resonance in the $J = {\frac{3}{2}}^{+}$ channel with mass 1750 MeV. The phase shift does not reach $\frac{π}{2}$ in the resonance region. The calculated cross section is in qualitative agreement with the experimental data near the resonance energy.

Erratum

Field-Theoretic Model for Low-Energy $J = {\frac{3}{2}}^{+} K^{+} p$ Scattering

L. B. Rédei

Phys. Rev. D 4, 2940 (1971)

References (15)

L. B. Rédei, Nucl. Phys. B10, 419 (1969)
L. B. Rédei, Nucl. Phys. B17, 38 (1970)
S. G. Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966)
G. Ebel et al., in Proceedings of the Lund Conference on Elementary Particles, edited by G. von Dardel (Berlingska Boktryckeriet, Lund, Sweden, 1969)
H. Lipkin, [4]
R. L. Cool et al., Phys. Rev. D 1, 1887 (1970)
D. R. O. Morrison, [4]
A. D. Martin and B. Perrin, Nucl. Phys. B10, 125 (1969)
[8] Morrison, [4]
[7] R. Levi Setti, [4] [8]
C. J. Goebel, Phys. Rev. Letters 16, 1130 (1966)
J. C. Pati and K. V. Vasavada, Phys. Rev. 144, 1270 (1966)
J. Katz and S. Wagner, Phys. Rev. 188, 2196 (1969)
L. Van Hove, N. M. Hugenholtz, and L. P. Howland, Quantum Theory of Many-Particle Systems (Benjamin, New York, 1961), p. 136
A. Messiah, Quantum Mechanics (Wiley, New York, 1962) W. Brenig and R. Haag, Fortschr. Physik 7, 4/5 (1959)

[c1] L. B. Rédei, Nucl. Phys. B10, 419 (1969)

[c2] L. B. Rédei, Nucl. Phys. B17, 38 (1970)

[c3] S. G. Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966)

[c4] G. Ebel et al., in Proceedings of the Lund Conference on Elementary Particles, edited by G. von Dardel (Berlingska Boktryckeriet, Lund, Sweden, 1969)

[c5] H. Lipkin, [4]

[c6] R. L. Cool et al., Phys. Rev. D 1, 1887 (1970)

[c7] D. R. O. Morrison, [4]

[c8] A. D. Martin and B. Perrin, Nucl. Phys. B10, 125 (1969)

[c9] [8] Morrison, [4]

[c10] [7] R. Levi Setti, [4] [8]

[c11] C. J. Goebel, Phys. Rev. Letters 16, 1130 (1966)

[c12] J. C. Pati and K. V. Vasavada, Phys. Rev. 144, 1270 (1966)

[c13] J. Katz and S. Wagner, Phys. Rev. 188, 2196 (1969)

[c14] L. Van Hove, N. M. Hugenholtz, and L. P. Howland, Quantum Theory of Many-Particle Systems (Benjamin, New York, 1961), p. 136

[c15] A. Messiah, Quantum Mechanics (Wiley, New York, 1962) W. Brenig and R. Haag, Fortschr. Physik 7, 4/5 (1959)

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Field-Theoretic Model for Low-Energy $J = {\frac{3}{2}}^{+}$ $K^{+} p$ Scattering

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Field-Theoretic Model for Low-Energy $J = {\frac{3}{2}}^{+} K^{+} p$ Scattering

References (15)

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Field-Theoretic Model for Low-Energy J=32+ K+p Scattering

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Field-Theoretic Model for Low-Energy J=32+K+p Scattering

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Field-Theoretic Model for Low-Energy $J = {\frac{3}{2}}^{+}$ $K^{+} p$ Scattering

Field-Theoretic Model for Low-Energy $J = {\frac{3}{2}}^{+} K^{+} p$ Scattering