Summary
A previously introduced two-body relativistic wave-equation is generalized to include the Δ degrees of freedom. The negative-energy states are consistently considered. Spurious spin-1/2 fields for the Δ-isobar are discarded by means of a suitable projection procedure. A specific π- and ρ-exchange model is constructed and a nonrelativistic reduction, up to orderc −2, is given for the π-exchange case.
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References
H. J. Weber andH. Arenhövel:Phys. Rep.,36, 277 (1978) and the references quoted therein.
R. Machleidt, K. Holinde andCh. Elster:Phys. Rep.,149, 1 (1987).
B. ter Haar andR. Malfliet:Phys. Rep.,149, 207 (1987).
E. E. van Faassen andJ. A. Tjon:Phys. Rev. D,28, 2354 (1983).
E. E. van Faassen andJ. A. Tjon:Phys. Rev. C,30, 285 (1984).
M. De Sanctis andD. Prosperi:Nuovo Cimento A,105, 781 (1992).
W. Rarita andJ. Schwinger:Phys. Rev.,60, 61 (1941).
R. Roman:Introduction to Quantum Field Theory (John Wiley and Sons, New York, N.Y., 1969), Chapt. 5.2.
M. De Sanctis andD. Prosperi:Nuovo Cimento A,104, 921 (1991).
V. B. Mandelzweig andS. J. Wallace:Phys. Lett. B,197, 469 (1987).
J. Sucher:Phys. Rev. Lett.,55, 1033 (1985).
L. D. Landau andE. M. Lifschitz:Meccanica quantistica relativistica, Vol.4 (Ed. Riuniti, Roma, 1979), par. 31.
A. R. Edmonds:Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, N.J., 1957), Chapt. 5.9.
G. E. Brown andW. Weise:Phys. Rep. C,22, 279 (1975).
F. Gross, J. W. Van Orden andK. Holinde:Phys. Rev. C,41, 1909 (1990).
M. De Sanctis, R. Mignani andD. Prosperi:Nuovo Cimento A,102, 1671 (1989).
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De Sanctis, M., Prosperi, D. A relativistic coupled-channel wave-equation with\(\mathcal{N}\) and Δ degrees of freedomand Δ degrees of freedom. Nuov Cim A 105, 1773–1784 (1992). https://doi.org/10.1007/BF02740927
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DOI: https://doi.org/10.1007/BF02740927