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Nonlinear Hadron Couplings from Divergence Conditions. I. Pions and Nucleons
Phys. Rev. D 2, 1123 – Published 15 September, 1970
DOI: https://doi.org/10.1103/PhysRevD.2.1123
Abstract
It is shown that chiral-dynamical models for the pion-nucleon system can be obtained simply by requiring that the source function in the pion field equation be expressible as a complete divergence. Both nonderivative and derivative pion-nucleon couplings are considered. The nonderivative-coupling case yields models with one coupling constant, while the derivative-coupling case leads to models involving two coupling constants. Since our approach avoids the use of chiral symmetry, it does not raise the problems associated with a broken symmetry. It is also suggested that the nonlinear pion-nucleon coupling, arising from the divergence condition, might very well represent a fundamental coupling rather than merely an effective coupling.
See Also
Nonlinear Hadron Couplings from Divergence Conditions. II. Mesons, Pions, and Nucleons
Nonlinear Hadron Couplings from Divergence Conditions. III. SU(3) Multiplets
References (13)
- S. N. Gupta, Phys. Rev. 96, 1683 (1954)
- S. Weinberg, Phys. Rev. Letters 18, 188 (1967)
- J. Schwinger, Phys. Letters 24B, 473 (1967)
- S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 41, 531 (1969)
- M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)
- Y. Nambu, Phys. Rev. Letters 4, 380 (1960)
- D. B. Fairlie and K. Yoshida, Phys. Rev. 174, 1816 (1968) R. Dashen and M. Weinstein, ibid. 183, 1261 (1969)
- S. N. Gupta, Phys. Rev. 107, 1722 (1957)
- P. Chang and F. Gürsey, Phys. Rev. 164, 1752 (1967)
- L. S. Brown, Phys. Rev. 163, 1802 (1967)
- J. Schwinger, Phys. Rev. Letters 18, 923 (1967)
- [9]
- [2]