Extension of the Mass Operator in the Symmetric Quark Model for Negative-Parity Baryon Resonances

Marvin Resnikoff

doi:10.1103/PhysRevD.3.199

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Extension of the Mass Operator in the Symmetric Quark Model for Negative-Parity Baryon Resonances

Marvin Resnikoff^*

Department of Physics, State University of New York at Buffalo, Buffalo, New York 14214

^*Supported in part by the Research Foundation of the State University of New York and the National Science Foundation under Grant No. NSF GP-9536.

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Phys. Rev. D 3, 199 – Published 1 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.199

Abstract

The two-body mass operators ${M_{189}}^{8_{S} L . S}$ , ${M_{189}}^{8_{A} L . S}$ , and three-body mass operators $M_{{35 F}^{1^{L . S}}}$ , $M_{{35 D}^{1^{L . S}}}$ , are considered in fitting the negative-parity baryon resonances in the $SU (6) \times O (3)$ multiplet (70, $1^{-}$ ). The latter operators split the degeneracy of the $Δ$ resonances in the decuplet. A least-squares fit to the latest experimental data is performed, and the results are in excellent agreement. It is suggested that a search be made for the two $Ω^{- *}$ 's.

References (29)

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O. W. Greenberg, Phys. Rev. Letters 13, 598 (1964)
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[3]
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Omitted endnote
Omitted endnote
[4]
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Omitted endnote
D. R. Divgi, Phys. Rev. 175, 2027 (1968)
A. N. Mitra and M. Ross, Phys. Rev. 158, 1630 (1967)
[27] [28]

[c1] R. H. Dalitz, in Proceedings of the Thirteenth Annual International Conference on High-Energy Physics, Berkeley, California, 1966 (University of California Press, Berkeley, 1967), pp. 215-236 Proceedings of the Oxford International Conference on Elementary Particles (Rutherford High-Energy Laboratory, Chilton, Berkshire, England, 1966) ([2])

[c2] O. W. Greenberg, Phys. Rev. Letters 13, 598 (1964)

[c3] O. W. Greenberg and M. Resnikoff, Phys. Rev. 163, 1844 (1967)

[c4] D. R. Divgi and O. W. Greenberg, Phys. Rev. 175, 2024 (1968)

[c5] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

[c6] R. Levi-Setti, rapporteur's talk in Proceedings of the Lund International Conference on Elementary Particles, 1969, edited by G. von Dardel (Berlingska, Lund, Sweden, 1969)

[c7] A. Donnachie, rapporteur's talk in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968)

[c8] D. R. Divgi, thesis, Part I, University of Maryland, 1969 (unpublished)

[c9] L. Armenteros et al. (CERN-Heidelberg-Saclay collaboration), in Proceedings of the Lund International Conference on Elementary Particles, 1969, edited by G. von Dardel (Berlingska, Lund, Sweden, 1969) [6]

[c10] S. Ishida, K. Konno, and H. Shimodaira, Nuovo Cimento 46A, 189 (1966) A. N. Mitra and R. Majumdar, Phys. Rev. 150, 1194 (1966)

[c11] W. Albrecht et al., Phys. Rev. Letters 17, 1192 (1966)

[c12] R. E. Kreps and J. J. de Swart, Phys. Rev. 162, 1729 (1967)

[c13] ([2]) M. Y. Han and Y. Nambu, Phys. Rev. 139, B1006 (1965)

[c14] [3]

[c15] M. A. B. Bég and V. Singh, Phys. Rev. Letters 13, 418 (1964)

[c16] J. J. de Swart, Rev. Mod. Phys. 35, 916 (1963)

[c17] E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge U. P., London, 1935)

[c18] A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U. P., Princeton, N. J., 1957), p. 90

[c19] E. Golowich, Phys. Rev. 184, 1815 (1969)

[c20] [3] [28]

[c21] Omitted endnote

[c22] Omitted endnote

[c23] [4]

[c24] D. J. Crennell et al., [Phys. Rev. Letters 21, 648 (1968)] [6]

[c25] P. Eberhard et al. [Phys. Rev. Letters 22, 200 (1969)] A. C. Ammann et al. [ibid. 24, 327 (1970)] V. E. Barnes et al., Brookhaven-Syracuse collaboration, BNL Report No. 13823 (unpublished)

[c26] Omitted endnote

[c27] D. R. Divgi, Phys. Rev. 175, 2027 (1968)

[c28] A. N. Mitra and M. Ross, Phys. Rev. 158, 1630 (1967)

[c29] [27] [28]

Physical Review D

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Extension of the Mass Operator in the Symmetric Quark Model for Negative-Parity Baryon Resonances

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