Application of the Isgur-Karl model to the low-lying <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi></math></span> states of charmonium

C. S. Kalman; N. Mukerji

doi:10.1103/PhysRevD.26.3264

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Application of the Isgur-Karl model to the low-lying $S$ states of charmonium

C. S. Kalman and N. Mukerji

Concordia University Elementary Particle Physics Group, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, Canada H3G 1M8

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Phys. Rev. D 26, 3264 – Published 1 December, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.3264

Abstract

The low-lying $S$ states of the charmonium system are used as a test case for the application of the Isgur-Karl model to mesons. Fitting exactly to the $ψ$ and $ψ^{'}$ masses, the masses of the $η_{c}$ and $η_{c}^{'}$ are obtained within 0.7% of the experimental values. The constituent mass of the $c$ quark is predicted to be 1450 MeV.

References (5)

C. S. Kalman, R. L. Hall, and S. K. Misra, Phys. Rev. D 21, 1908 (1980) C. S. Kalman and S. K. Misra, ibid. 26, 233 (1982)
N. Isgur and G. Karl, Phys. Rev. D 20, 1191 (1979) C. S. Kalman and R. L. Hall, ibid. 25, 217 (1982)
F. C. Porter, Stanford Linear Accelerator Center Report No. SLAC-PUB-2796, 1981 (unpublished) C. Edwards et al., Phys. Rev. Lett. 48, 70 (1982)
C. S. Kalman, Phys. Rev. D 26, 2326 (1982)
J. S. Kang, Phys. Rev. D 20, 2978 (1979)

[c1] C. S. Kalman, R. L. Hall, and S. K. Misra, Phys. Rev. D 21, 1908 (1980) C. S. Kalman and S. K. Misra, ibid. 26, 233 (1982)

[c2] N. Isgur and G. Karl, Phys. Rev. D 20, 1191 (1979) C. S. Kalman and R. L. Hall, ibid. 25, 217 (1982)

[c3] F. C. Porter, Stanford Linear Accelerator Center Report No. SLAC-PUB-2796, 1981 (unpublished) C. Edwards et al., Phys. Rev. Lett. 48, 70 (1982)

[c4] C. S. Kalman, Phys. Rev. D 26, 2326 (1982)

[c5] J. S. Kang, Phys. Rev. D 20, 2978 (1979)

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Application of the Isgur-Karl model to the low-lying $S$ states of charmonium

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Application of the Isgur-Karl model to the low-lying S states of charmonium

Abstract

References (5)

Application of the Isgur-Karl model to the low-lying $S$ states of charmonium