Hyperfine splitting of ground-state charmonium

Howard J. Schnitzer

doi:10.1103/PhysRevD.13.74

Access by Xinjiang University

Hyperfine splitting of ground-state charmonium

Howard J. Schnitzer

Department of Physics, Brandeis University, Waltham, Massachusetts 02154

PDF

Phys. Rev. D 13, 74 – Published 1 January, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.74

Abstract

The mass splitting of $ψ (3100)$ and its pseudoscalar partner $η_{c}$ is examined within the context of nonrelativistic linear-potential models for bound charmed quarks. If the Coulomb-type short-range gluon interaction is the sole contribution to this hyperfine splitting, then a mass splitting of 15-25 MeV is obtained. However, if the long-range forces that confine quarks also produce shorter-range spin-spin interactions, then the $ψ - η_{c}$ mass splitting is predicted to be in the range 40-80 MeV. If one abandons the assignment of $ψ^{'} (3700)$ as the first radial excitation of $ψ (3100)$ , then the $η_{c}$ is predicted to lie 150-300 MeV below $ψ (3100)$ . This possibility has the consequence that the rate predicted for the yet-unobserved decay $ψ \to η_{c} + γ$ is uncomfortably large.

References (25)

T. Appelquist and H. D. Politzer, Phys. Rev. Lett. 34, 43 (1975) A. De Rújula and S. L. Glashow, ibid. 34, 46 (1975) T. Appelquist et al., ibid. 34, 365 (1975) S. Borchardt et al., ibid. 34, 38 (1975)
J. J. Aubert et al., Phys. Rev. Lett. 33, 1404 (1974) J.-E. Augustin et al., ibid. 33, 1406 (1974) C. Bacci et al., ibid. 33, 1408 (1974)
G. S. Abrams et al., Phys. Rev. Lett. 33, 1453 (1975)
J.-E. Augustin et al., Phys. Rev. Lett. 34, 764 (1975)
V. Teplitz and P. Tarjanne, Phys. Rev. Lett. 11, 447 (1963) J. D. Bjorken and S. L. Glashow, Phys. Lett. 11, 255 (1964) D. Amati et al., Nuovo Cimento 34, 1732 (1964) Phys. Lett. 11, 190 (1964) Y. Hara, Phys. Rev. 134, B701 (1964) L. B. Okun, Phys. Lett. 12, 250 (1964) Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32, 144 (1964) M. Nauenberg (unpublished)
S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970)
H. Schnitzer, Brandeis University report, 1974 (unpublished) E. Eichten et al., Phys. Rev. Lett. 34, 369 (1975) J. F. Gunion and R. S. Willey, Phys. Rev. D 12, 174 (1975) K. Jhung, K. H. Chung, and R. S. Willey, ibid. 12, 1999 (1975) T. P. Cheng and P. B. James, Phys. Rev. Lett. 34, 917 (1975) B. J. Harrington et al., ibid. 34, 168 (1975) ibid.34, 706 (1975) J. Kogut and L. Susskind, ibid. 34, 706 (1975) ibid. 34, 767 (1975) Phys. Rev. D 12, 2821 (1975) J. S. Kang and H. J. Schnitzer, ibid. 12, 841 (1975) ibid.12, 2791 (1975)
M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47, 277 (1975)
B. W. Lee and C. Quigg, Fermilab Report No. 74/110-THY, 1974 (unpublished)
A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1975)
S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)
K. Wilson, Phys. Rev. D 10, 2445 (1974) R. Balian, J. M. Drouffe, and C. Itzykson, ibid. 10, 3376 (1974) J. Kogut and L. Susskind, ibid. 11, 395 (1975)
[10]
T. Appelquist, Caltech. Report No. CALT 68-499 (unpublished)
S. Blaha, Phys. Rev. D 10, 4268 (1974) S. Kauffmann, Caltech. Phys. report, 1974 (unpublished) J. E. Kiskis, Phys. Rev. D 11, 2178 (1975)
J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, Reading, Massachusetts, 1973), Vol. II
J. Borenstein, Harvard University thesis, 1975 (unpublished)
G. 't Hooft (unpublished) H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973) D. J. Gross and F. Wilczek, ibid. 30, 1343 (1973)
Harrington et al., [3]
T. Appelquist and H. D. Politzer, [1]
J. S. Kang and H. J. Schnitzer, Phys. Rev. D 12, 841 (1975)
C. G. Callan et al., Phys. Rev. Lett. 34, 52 (1975)
T. Appelquist, [14]
H. Harari, Phys. Lett. 57B, 265 (1975) SLAC Report No. SLAC-PUB-1589 (unpublished)
J. S. Kang and H. J. Schnitzer, Phys. Rev. D 12, 2791 (1975)

[c1] T. Appelquist and H. D. Politzer, Phys. Rev. Lett. 34, 43 (1975) A. De Rújula and S. L. Glashow, ibid. 34, 46 (1975) T. Appelquist et al., ibid. 34, 365 (1975) S. Borchardt et al., ibid. 34, 38 (1975)

[c2] J. J. Aubert et al., Phys. Rev. Lett. 33, 1404 (1974) J.-E. Augustin et al., ibid. 33, 1406 (1974) C. Bacci et al., ibid. 33, 1408 (1974)

[c3] G. S. Abrams et al., Phys. Rev. Lett. 33, 1453 (1975)

[c4] J.-E. Augustin et al., Phys. Rev. Lett. 34, 764 (1975)

[c5] V. Teplitz and P. Tarjanne, Phys. Rev. Lett. 11, 447 (1963) J. D. Bjorken and S. L. Glashow, Phys. Lett. 11, 255 (1964) D. Amati et al., Nuovo Cimento 34, 1732 (1964) Phys. Lett. 11, 190 (1964) Y. Hara, Phys. Rev. 134, B701 (1964) L. B. Okun, Phys. Lett. 12, 250 (1964) Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32, 144 (1964) M. Nauenberg (unpublished)

[c6] S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970)

[c7] H. Schnitzer, Brandeis University report, 1974 (unpublished) E. Eichten et al., Phys. Rev. Lett. 34, 369 (1975) J. F. Gunion and R. S. Willey, Phys. Rev. D 12, 174 (1975) K. Jhung, K. H. Chung, and R. S. Willey, ibid. 12, 1999 (1975) T. P. Cheng and P. B. James, Phys. Rev. Lett. 34, 917 (1975) B. J. Harrington et al., ibid. 34, 168 (1975) ibid.34, 706 (1975) J. Kogut and L. Susskind, ibid. 34, 706 (1975) ibid. 34, 767 (1975) Phys. Rev. D 12, 2821 (1975) J. S. Kang and H. J. Schnitzer, ibid. 12, 841 (1975) ibid.12, 2791 (1975)

[c8] M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47, 277 (1975)

[c9] B. W. Lee and C. Quigg, Fermilab Report No. 74/110-THY, 1974 (unpublished)

[c10] A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1975)

[c11] S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)

[c12] K. Wilson, Phys. Rev. D 10, 2445 (1974) R. Balian, J. M. Drouffe, and C. Itzykson, ibid. 10, 3376 (1974) J. Kogut and L. Susskind, ibid. 11, 395 (1975)

[c13] [10]

[c14] T. Appelquist, Caltech. Report No. CALT 68-499 (unpublished)

[c15] S. Blaha, Phys. Rev. D 10, 4268 (1974) S. Kauffmann, Caltech. Phys. report, 1974 (unpublished) J. E. Kiskis, Phys. Rev. D 11, 2178 (1975)

[c16] J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, Reading, Massachusetts, 1973), Vol. II

[c17] J. Borenstein, Harvard University thesis, 1975 (unpublished)

[c18] G. 't Hooft (unpublished) H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973) D. J. Gross and F. Wilczek, ibid. 30, 1343 (1973)

[c19] Harrington et al., [3]

[c20] T. Appelquist and H. D. Politzer, [1]

[c21] J. S. Kang and H. J. Schnitzer, Phys. Rev. D 12, 841 (1975)

[c22] C. G. Callan et al., Phys. Rev. Lett. 34, 52 (1975)

[c23] T. Appelquist, [14]

[c24] H. Harari, Phys. Lett. 57B, 265 (1975) SLAC Report No. SLAC-PUB-1589 (unpublished)

[c25] J. S. Kang and H. J. Schnitzer, Phys. Rev. D 12, 2791 (1975)

Physical Review D

Export citation

Export citation

Hyperfine splitting of ground-state charmonium

Abstract

References (25)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation