Ground-state baryon mass splittings from unitarity

N. A. Törnqvist; P. Żenczykowski

doi:10.1103/PhysRevD.29.2139

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Ground-state baryon mass splittings from unitarity

N. A. Törnqvist and P. Żenczykowski^*

Department of High Energy Physics, University of Helsinki, Siltavuorenpenger 20 C, 00170 Helsinki 17, Finland

^*Permanent address: Institute of Physics, Radzikowskiego 152, 31-342 Kraków, Poland.

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Phys. Rev. D 29, 2139(R) – Published 1 May, 1984

DOI: https://doi.org/10.1103/PhysRevD.29.2139

Abstract

We discuss the hadronic mass shifts of the lightest baryons generated by coupled-channel effects. The contributions from different thresholds are assumed to be related by $SU {(6)}_{W}$ symmetry. Using very general arguments, we derive mass formulas for the relative splittings of $Δ - N$ , $Σ^{*} - Σ - Λ$ , and $Ξ^{*} - Ξ$ , which are satisfied by experiment to within 20%.

References (8)

G. F. Chew, The Analytic $S$ -Matrix (Benjamin, New York, 1966) R. P. Feynman, Photon Hadron Interactions (Benjamin, New York, 1972), pp. 58 and 95
N. A. Törnqvist, Ann. Phys. (N.Y.) 123, 1 (1979) Nucl. Phys. B203, 268 (1982) Phys. Rev. Lett. 49, 624 (1982) S. Ono and N. A. Törnqvist, Z. Phys. C (to be published)
M. Roos and N. A. Törnqvist, Z. Phys. C 5, 205 (1980)
W. N. Cottingham, K. Tsu, and J. M. Richard, Nucl. Phys. B179, 541 (1981) A. K. A. Maciel and J. E. Paton, ibid. B181, 277 (1981) F. Myhrer, G. E. Brown, and Z. Xu, ibid. A362, 317 (1981) A. W. Thomas, S. Théberge, and G. A. Miller Phys. Rev. D 24, 216 (1981)
P. Żenczykowski, Jagellonian Univ. report, 1984 (unpublished)
R. Carlitz and M. Kislinger Phys. Rev. D 2, 336 (1970)
A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1978)
P. Żenczykowski, Z. Phys. C 5, 319 (1980)

[c1] G. F. Chew, The Analytic $S$ -Matrix (Benjamin, New York, 1966) R. P. Feynman, Photon Hadron Interactions (Benjamin, New York, 1972), pp. 58 and 95

[c2] N. A. Törnqvist, Ann. Phys. (N.Y.) 123, 1 (1979) Nucl. Phys. B203, 268 (1982) Phys. Rev. Lett. 49, 624 (1982) S. Ono and N. A. Törnqvist, Z. Phys. C (to be published)

[c3] M. Roos and N. A. Törnqvist, Z. Phys. C 5, 205 (1980)

[c4] W. N. Cottingham, K. Tsu, and J. M. Richard, Nucl. Phys. B179, 541 (1981) A. K. A. Maciel and J. E. Paton, ibid. B181, 277 (1981) F. Myhrer, G. E. Brown, and Z. Xu, ibid. A362, 317 (1981) A. W. Thomas, S. Théberge, and G. A. Miller Phys. Rev. D 24, 216 (1981)

[c5] P. Żenczykowski, Jagellonian Univ. report, 1984 (unpublished)

[c6] R. Carlitz and M. Kislinger Phys. Rev. D 2, 336 (1970)

[c7] A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1978)

[c8] P. Żenczykowski, Z. Phys. C 5, 319 (1980)

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Ground-state baryon mass splittings from unitarity

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