Meson-Baryon Interactions with Baryons Belonging to the Nonlinear Representations of Chiral <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo><mn></mn><mo>⊗</mo><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo><mn></mn></math></span>

Josip Šoln

doi:10.1103/PhysRevD.2.2404

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Meson-Baryon Interactions with Baryons Belonging to the Nonlinear Representations of Chiral $U (3) \otimes U (3)$

Josip Šoln^*

Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201 and Department of Physics, University of Illinois, Chicago, Illinois 60680

^*Present address.

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Phys. Rev. D 2, 2404 – Published 15 November, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.2404

Abstract

We derive a general chiral $U (3) \otimes U (3)$ phenomenological Lagrangian for the meson-baryon system. The meson-baryon derivative coupling is discussed in detail, and $K - N$ scattering is studied. Some renormalized meson-baryon coupling constants are computed and compared with experiments. A suitable canonical transformation is introduced, and conditions under which it yields the Yukawa coupling are discussed.

References (35)

Steven Weinberg, Phys. Rev. 166, 1568 (1968) Phys. Rev. Letters 18, 188 (1967) W. A. Bardeen and W. B. Lee, in Proceedings of the 1967 Canadian Summer Institute in Nuclear and Particle Physics (Benjamin, New York, 1968) J. Wess and Bruno Zumino, Phys. Rev. 163, 1727 (1967) L. S. Brown, ibid. 163, 1802 (1967)
Leaf Turner, Nucl. Phys. B11, 355 (1969)
[S. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969) C. G. Callan, S. Coleman, J. Wess, and B. Zumino, ibid. 177, 2247 (1969)] [S. Adler, ibid. 137, B1022 (1965)]
F. Gürsey, Nuovo Cimento 16, 230 (1960) Ann. Phys. (N. Y.) 12, 91 (1961) [7]
Murray Gell-Mann, Phys. Rev. 125, 1067 (1962)
Jeremiah A. Cronin, Phys. Rev. 161, 1483 (1967)
Yoshio Ohnuki and Yoshio Yamaguchi, Inst. Nucl. Study (Tokyo) Report No. 19, 1967 (unpublished) in Fundamental Particle Physics, edited by G. Takeda and Y. Hara (Benjamin, New York, 1968)
Kichiro Hiida, Yoshio Ohnuki, and Yoshio Yamaguchi, Inst. Nucl. Study (Tokyo) Report No. 126, 1968 (unpublished)
Omitted endnote
J. Schwinger, Phys. Letters 24B, 473 (1967)
Omitted endnote
J. Schwinger, Phys. Rev. 167, 1432 (1968) V. F. Weisskopf, in Proceedings of the International School of Physics "Enrico Fermi" (Academic, New York, 1968) R. D. Peccei, Phys. Rev. 176, 1812 (1968) [6,10,12]) Cronin ([6])
J. Schechter, Y. Ueda, and G. Venturi, Phys. Rev. 177, 2311 (1969)
G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu, Phys. Rev. 106, 1337 (1957)
J. Hamilton and W. S. Woolcock, Rev. Mod. Phys. 35, 737 (1963)
S. Goldhaber, W. Chinowsky, G. Goldhaber, G. M. Pjerrou, D. H. Stork, and H. Ticho, Phys. Rev. Letters 9, 135 (1962)
V. J. Stenger, W. E. Slater, D. H. Stork, H. K. Ticho, G. Goldhaber, and S. Goldhaber, Phys. Rev. 134, B111 (1964)
Frank von Hipple and Jae Kwan Kim, Phys. Rev. Letters 22, 740 (1969)
Cronin ([6]) Schechter, Ueda, and Venturi ([13])
[J. K. Kim (private communication)]
J. Bernstein, Elementary Particles and Their Currents (Freeman, San Francisco, 1968), Chap. 11 P. Roman, Introduction to Quantum Field Theory (Wiley, New York, 1969) [22]
M. Gell-Mann, R. J. Oakes, and B. Renner [Phys. Rev. 175, 2195 (1968)]
J. K. Kim, Phys. Rev. Letters 19, 1079 (1967)
M. Lusignoli, M. Restignoli, G. A. Snow, and G. Violini, Phys. Letters 21, 229 (1966) N. Zovko, ibid. 23, 143 (1966)
Queen et al., Nucl. Phys. B (to be published)
C. H. Chan and F. T. Meiere, Phys. Rev. Letters 20, 568 (1968)
H. Barash-Schmidt, A. Barbaro-Galtieri, L. R. Price, Matts Roos, A. H. Rosenfeld, Paul Söding, and C. G. Wohl, Lawrence Radiation Laboratory Report No. UCRL-8030, 1968 (unpublished)
C. Weil, Phys. Rev. 161, 1682 (1967)
J. K. Kim (private communication) J. K. Kim and F. von Hippel, Phys. Rev. 184, 1961 (1970)
S. Weinberg [Phys. Rev. Letters 18, 188 (1967)]
Cronin ([6])
Omitted endnote
Omitted endnote
A. Kumar and R. Ramachandran, Tata Institute of Fundamental Research report, 1968 (unpublished)
Schechter, Ueda, and Venturi ([13])

[c1] Steven Weinberg, Phys. Rev. 166, 1568 (1968) Phys. Rev. Letters 18, 188 (1967) W. A. Bardeen and W. B. Lee, in Proceedings of the 1967 Canadian Summer Institute in Nuclear and Particle Physics (Benjamin, New York, 1968) J. Wess and Bruno Zumino, Phys. Rev. 163, 1727 (1967) L. S. Brown, ibid. 163, 1802 (1967)

[c2] Leaf Turner, Nucl. Phys. B11, 355 (1969)

[c3] [S. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969) C. G. Callan, S. Coleman, J. Wess, and B. Zumino, ibid. 177, 2247 (1969)] [S. Adler, ibid. 137, B1022 (1965)]

[c4] F. Gürsey, Nuovo Cimento 16, 230 (1960) Ann. Phys. (N. Y.) 12, 91 (1961) [7]

[c5] Murray Gell-Mann, Phys. Rev. 125, 1067 (1962)

[c6] Jeremiah A. Cronin, Phys. Rev. 161, 1483 (1967)

[c7] Yoshio Ohnuki and Yoshio Yamaguchi, Inst. Nucl. Study (Tokyo) Report No. 19, 1967 (unpublished) in Fundamental Particle Physics, edited by G. Takeda and Y. Hara (Benjamin, New York, 1968)

[c8] Kichiro Hiida, Yoshio Ohnuki, and Yoshio Yamaguchi, Inst. Nucl. Study (Tokyo) Report No. 126, 1968 (unpublished)

[c9] Omitted endnote

[c10] J. Schwinger, Phys. Letters 24B, 473 (1967)

[c11] Omitted endnote

[c12] J. Schwinger, Phys. Rev. 167, 1432 (1968) V. F. Weisskopf, in Proceedings of the International School of Physics "Enrico Fermi" (Academic, New York, 1968) R. D. Peccei, Phys. Rev. 176, 1812 (1968) [6,10,12]) Cronin ([6])

[c13] J. Schechter, Y. Ueda, and G. Venturi, Phys. Rev. 177, 2311 (1969)

[c14] G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu, Phys. Rev. 106, 1337 (1957)

[c15] J. Hamilton and W. S. Woolcock, Rev. Mod. Phys. 35, 737 (1963)

[c16] S. Goldhaber, W. Chinowsky, G. Goldhaber, G. M. Pjerrou, D. H. Stork, and H. Ticho, Phys. Rev. Letters 9, 135 (1962)

[c17] V. J. Stenger, W. E. Slater, D. H. Stork, H. K. Ticho, G. Goldhaber, and S. Goldhaber, Phys. Rev. 134, B111 (1964)

[c18] Frank von Hipple and Jae Kwan Kim, Phys. Rev. Letters 22, 740 (1969)

[c19] Cronin ([6]) Schechter, Ueda, and Venturi ([13])

[c20] [J. K. Kim (private communication)]

[c21] J. Bernstein, Elementary Particles and Their Currents (Freeman, San Francisco, 1968), Chap. 11 P. Roman, Introduction to Quantum Field Theory (Wiley, New York, 1969) [22]

[c22] M. Gell-Mann, R. J. Oakes, and B. Renner [Phys. Rev. 175, 2195 (1968)]

[c23] J. K. Kim, Phys. Rev. Letters 19, 1079 (1967)

[c24] M. Lusignoli, M. Restignoli, G. A. Snow, and G. Violini, Phys. Letters 21, 229 (1966) N. Zovko, ibid. 23, 143 (1966)

[c25] Queen et al., Nucl. Phys. B (to be published)

[c26] C. H. Chan and F. T. Meiere, Phys. Rev. Letters 20, 568 (1968)

[c27] H. Barash-Schmidt, A. Barbaro-Galtieri, L. R. Price, Matts Roos, A. H. Rosenfeld, Paul Söding, and C. G. Wohl, Lawrence Radiation Laboratory Report No. UCRL-8030, 1968 (unpublished)

[c28] C. Weil, Phys. Rev. 161, 1682 (1967)

[c29] J. K. Kim (private communication) J. K. Kim and F. von Hippel, Phys. Rev. 184, 1961 (1970)

[c30] S. Weinberg [Phys. Rev. Letters 18, 188 (1967)]

[c31] Cronin ([6])

[c32] Omitted endnote

[c33] Omitted endnote

[c34] A. Kumar and R. Ramachandran, Tata Institute of Fundamental Research report, 1968 (unpublished)

[c35] Schechter, Ueda, and Venturi ([13])

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Meson-Baryon Interactions with Baryons Belonging to the Nonlinear Representations of Chiral $U (3) \otimes U (3)$

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Meson-Baryon Interactions with Baryons Belonging to the Nonlinear Representations of Chiral U(3)⊗U(3)

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References (35)

Meson-Baryon Interactions with Baryons Belonging to the Nonlinear Representations of Chiral $U (3) \otimes U (3)$