Model-independent analysis of hadronic decays of <i>J/ψ</i> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>(2980)

Howard E. Haber; Jacques Perrier

doi:10.1103/PhysRevD.32.2961

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Model-independent analysis of hadronic decays of J/ψ and $η_{c}$ (2980)

Howard E. Haber and Jacques Perrier

Institute for Particle Physics, University of California, Santa Cruz, California 95064

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Phys. Rev. D 32, 2961 – Published 1 December, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.2961

Abstract

Implications of broken flavor-SU(3) symmetry are studied for J/ψ and $η_{c}$ decays to two- and three-meson final states. Nonet-symmetry breaking and pseudoscalar-meson mixing are discussed using recent measurements of J/ψ→vector+pseudoscalar branching ratios by the Mark III collaboration. Detailed fits are presented to determine phenomenological parameters which describe the various mesonic decays of the J/ψ. We conclude that the η and η’ can be mixed with ι(1440), and predict B(J/ψ→ιω)=(0.75±0.12)×10 -3 and B(J/ψ→ιφ)=(0.09±0.02)×10 -3. In J/ψ →pseudoscalar+pseudoscalar decays, electromagnetic and mass-breaking effects are found to be of similar importance. Different SU(3)-breaking patterns are observed in J/ψ→PV and $η_{c}$ →VV decays.

References (29)

S. Okubo, Phys. Rev. Lett. 36, 117 (1976); Phys. Rev. D 13, 1994 (1976) ibid. 14, 108 (1976); S. Rudaz, ibid 14, 298 (1976); H. Kowalski and T. F. Walsh, ibid 14, 852 (1976); J. Pasupathy and C. A. Singh, ibid 18, 791 (1978).
L. J. Clavelli and G. W. Intemann, Phys. Rev. D 28, 2767 (1983); S. Pinsky, ibid. 31, 1753 (1985).
R. M. Baltrusaitis et al., Phys. Rev. D 32, 566 (1985); ibid (to be published).
R. M. Baltrusaitis et al.., Report No. SLAC-PUB-3704 (unpublished).
S. Okubo, Phys. Lett. 5, 165 (1963); G. Zweig (unpublished); J. Iizuka, Prog. Theor. Phys. Suppl. 37 - 38, 21 (1966).
We follow the notation of P. A. Carruthers, Introduction to Unitary Symmetry (Wiley, New York, 1966).
Particle Data Group, Rev. Mod. Phys. 56, S1 (1984).
J. L. Rosner, Phys. Rev. D 27, 1101 (1983).
B. W. Lee, in High Energy Physics and Elementary Particles, lectures presented at the International Center for Theoretical Physics, Trieste, Italy, 1965, edited by C. Fronsdal and A. Salam (International Atomic Energy Agency, Vienna, 1965), p. 371.
J. Gasser and H. Leutwyler, Nucl. Phys. B94, 269 (1975); S. Weinberg, A Festschrift for I. I. Rabi, edited by L. Motz (New York Academy of Sciences, New York, 1977), p. 185.
Note that $g_{M}$ and $g_{E}$ defined here are logically independent from parameters of the same symbol defined in Eq. (2.9).
M. Muraskin and S. L. Glashow, Phys. Rev. 132, 482 (1963).
P. N. Burgoyne (unpublished) (see Ref. 12).
J. Perrier, in Proceedings of Physics In Collision 4, edited by A. Seiden (Editions Frontie`res, France, 1984), p. 143; R. M. Baltrusaitis et al.., Phys. Rev. D (to be published).
The result of a similar fit in which one of the possible second-order SU(3) breakings is taken into account has been presented in Ref. 14.
F. E. Close, An Introduction to Quarks and Partons (Academic, London, 1979).
C. D. Edwards, Report No. CALT-68-1165, Ph.D. thesis, 1984; J. D. Richman, Report No. CALT-68-1231, Ph.D. thesis, 1985.
P. Jenni et al., Phys. Rev. D 27, 1031 (1983).
S. Brodsky (private communication).
J. D. Jackson, in Weak Interactions at High Energy and the Production of New Particles, proceedings of the SLAC Summer Institute on Particle Physics 1976, edited by Martha C. Zipf (SLAC, Stanford, 1977), p. 147.
T. Goldman and H. E. Haber, Los Alamos Report No. LA-UR-83-2323, 1983 (unpublished).
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W. F. Palmer, S. S. Pinsky and C. Bender, Phys. Rev. D 30, 1002 (1984).
G. R. Farrar and P. Fayet, Phys. Lett. 76B, 575 (1978); ibid. 79B, 442 (1978); T. Goldman, ibid 78B, 110 (1978); P. Fayet, ibid 78B, 417 (1978); M. Chanowitz and S. Sharpe, ibid 126B, 225 (1983).
G. R. Farrar, Phys. Rev. Lett. 53, 1029 (1984).
For a review of recent limits on gluino masses, see H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); S. Dawson, E. Eichten and C. Quigg, Phys. Rev. D 31, 1581 (1985).
T. Goldman and H. E. Haber, Physica 15D, 181 (1985); W.-Y. Keung and A. Khare, Phys. Rev. D 29, 2657 (1984); J. H. Kuhn and S. Ono, Phys. Lett. 142B, 436 (1984).
K. Griest and H. E. Haber (in preparation).
M. Chaichian and R. Kögerler, Ann. Phys. (N.Y.) 124, 61 (1980).

[c1] S. Okubo, Phys. Rev. Lett. 36, 117 (1976); Phys. Rev. D 13, 1994 (1976) ibid. 14, 108 (1976); S. Rudaz, ibid 14, 298 (1976); H. Kowalski and T. F. Walsh, ibid 14, 852 (1976); J. Pasupathy and C. A. Singh, ibid 18, 791 (1978).

[c2] L. J. Clavelli and G. W. Intemann, Phys. Rev. D 28, 2767 (1983); S. Pinsky, ibid. 31, 1753 (1985).

[c3] R. M. Baltrusaitis et al., Phys. Rev. D 32, 566 (1985); ibid (to be published).

[c4] R. M. Baltrusaitis et al.., Report No. SLAC-PUB-3704 (unpublished).

[c5] S. Okubo, Phys. Lett. 5, 165 (1963); G. Zweig (unpublished); J. Iizuka, Prog. Theor. Phys. Suppl. 37 - 38, 21 (1966).

[c6] We follow the notation of P. A. Carruthers, Introduction to Unitary Symmetry (Wiley, New York, 1966).

[c7] Particle Data Group, Rev. Mod. Phys. 56, S1 (1984).

[c8] J. L. Rosner, Phys. Rev. D 27, 1101 (1983).

[c9] B. W. Lee, in High Energy Physics and Elementary Particles, lectures presented at the International Center for Theoretical Physics, Trieste, Italy, 1965, edited by C. Fronsdal and A. Salam (International Atomic Energy Agency, Vienna, 1965), p. 371.

[c10] J. Gasser and H. Leutwyler, Nucl. Phys. B94, 269 (1975); S. Weinberg, A Festschrift for I. I. Rabi, edited by L. Motz (New York Academy of Sciences, New York, 1977), p. 185.

[c11] Note that $g_{M}$ and $g_{E}$ defined here are logically independent from parameters of the same symbol defined in Eq. (2.9).

[c12] M. Muraskin and S. L. Glashow, Phys. Rev. 132, 482 (1963).

[c13] P. N. Burgoyne (unpublished) (see Ref. 12).

[c14] J. Perrier, in Proceedings of Physics In Collision 4, edited by A. Seiden (Editions Frontie`res, France, 1984), p. 143; R. M. Baltrusaitis et al.., Phys. Rev. D (to be published).

[c15] The result of a similar fit in which one of the possible second-order SU(3) breakings is taken into account has been presented in Ref. 14.

[c16] F. E. Close, An Introduction to Quarks and Partons (Academic, London, 1979).

[c17] C. D. Edwards, Report No. CALT-68-1165, Ph.D. thesis, 1984; J. D. Richman, Report No. CALT-68-1231, Ph.D. thesis, 1985.

[c18] P. Jenni et al., Phys. Rev. D 27, 1031 (1983).

[c19] S. Brodsky (private communication).

[c20] J. D. Jackson, in Weak Interactions at High Energy and the Production of New Particles, proceedings of the SLAC Summer Institute on Particle Physics 1976, edited by Martha C. Zipf (SLAC, Stanford, 1977), p. 147.

[c21] T. Goldman and H. E. Haber, Los Alamos Report No. LA-UR-83-2323, 1983 (unpublished).

[c22] N. Isgur, Phys. Rev. Lett. 36, 1262 (1976).

[c23] W. F. Palmer, S. S. Pinsky and C. Bender, Phys. Rev. D 30, 1002 (1984).

[c24] G. R. Farrar and P. Fayet, Phys. Lett. 76B, 575 (1978); ibid. 79B, 442 (1978); T. Goldman, ibid 78B, 110 (1978); P. Fayet, ibid 78B, 417 (1978); M. Chanowitz and S. Sharpe, ibid 126B, 225 (1983).

[c25] G. R. Farrar, Phys. Rev. Lett. 53, 1029 (1984).

[c26] For a review of recent limits on gluino masses, see H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); S. Dawson, E. Eichten and C. Quigg, Phys. Rev. D 31, 1581 (1985).

[c27] T. Goldman and H. E. Haber, Physica 15D, 181 (1985); W.-Y. Keung and A. Khare, Phys. Rev. D 29, 2657 (1984); J. H. Kuhn and S. Ono, Phys. Lett. 142B, 436 (1984).

[c28] K. Griest and H. E. Haber (in preparation).

[c29] M. Chaichian and R. Kögerler, Ann. Phys. (N.Y.) 124, 61 (1980).

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Model-independent analysis of hadronic decays of J/ψ and $η_{c}$ (2980)

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Model-independent analysis of hadronic decays of J/ψ and ηc(2980)

Abstract

References (29)

Model-independent analysis of hadronic decays of J/ψ and $η_{c}$ (2980)