Mass spectrum of spin-zero mesons

Michael T. Vaughn

doi:10.1103/PhysRevD.13.2621

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Mass spectrum of spin-zero mesons

Michael T. Vaughn^*

Physics Department, Northeastern University, Boston, Massachusetts 02115 and Physics Department, Texas A&M University, College Station, Texas 77843

^*Permanent address.

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Phys. Rev. D 13, 2621 – Published 1 May, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.2621

Abstract

The masses of the charmed spin-zero mesons are estimated using a phenomenological Lagrangian in which the fields transform according to the representation (4,4*) ⊕ (4*,4) of chiral SU(4) ⊗ SU(4). One new parameter, which is fixed by the mass of $η^{''}$ , is required to predict the masses of the charmed spin-zero mesons. If $m (η^{''}) = 2.8$ GeV, then $m (F_{P}) = 2.57$ GeV, $m (D_{P}) = 2.64$ GeV, $m (D_{S}) = 2.99$ GeV, and $m (F_{S}) = 3.1$ GeV are predicted. An analysis of the radiative decays of $η^{''}$ and $ψ (3.095)$ is given.

References (32)

M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47, 277 (1975)
J. J. Aubert et al., Phys. Rev. Lett. 33, 1404 (1974) J.-E. Augustin et al., ibid. 33, 1406 (1974)
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Omitted endnote
[7]
S. L. Adler, Phys. Rev. 177, 2426 (1969)
S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)
B. L. Beron et al., SLAC Report No. HEPL-766, 1975 (unpublished)
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G. Altarelli, N. Cabibbo, and L. Maiani, Phys. Rev. Lett. 35, 635 (1975)
M. Perl, unpublished lectures
Omitted endnote

[c1] M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47, 277 (1975)

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

[c3] S. Borchardt, V. Mathur, and S. Okubo, Phys. Rev. Lett. 34, 38 (1975) S. Okubo, V. S. Mathur, and S. Borchardt, ibid. 34, 236 (1975)

[c4] 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, A. De Rújula, H. D. Politzer, and S. L. Glashow, ibid. 34, 365 (1975) E. Eichten, K. Gottfried, T. Kinoshita, J. Kogut, K. D. Lane, and T.-M. Yan, ibid. 34, 369 (1975)

[c5] S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 531 (1969)

[c6] R. Olshansky, Phys. Rev. D 4, 2440 (1971) J. J. Brehm, ibid. 9, 1818 (1974)

[c7] N. Chase and M. T. Vaughn, Phys. Lett. (to be published)

[c8] A. M. Boyarski et al., Phys. Rev. Lett. 35, 195 (1975)

[c9] S. L. Glashow and S. Weinberg, Phys. Rev. Lett. 20, 224 (1968) W. A. Bardeen and B. W. Lee, Phys. Rev. 177, 2389 (1969)

[c10] A. K. Bhargava and T. Dass, Phys. Rev. D 1, 649 (1970) A. K. Bhargava, ibid. 6, 1153 (1972) L. M. Brown and H. Munczek, ibid. 1, 2595 (1970) C. Cicogna, ibid. 1, 1786 (1970) D. W. McKay, W. F. Palmer, and R. F. Sarraya, ibid. 8, 2532 (1973)

[c11] J. Schecter and Y. Ueda, Phys. Rev. D 3, 168 (1971) ibid.3, 2387 (1971)

[c12] P. Carruthers, Phys. Rev. D 2, 2265 (1970) ibid.3, 959 (1971)

[c13] P. Carruthers and R. W. Haymaker, Phys. Rev. Lett. 27, 455 (1971) Phys. Rev. D 4, 406 (1971) ibid.4, 1808 (1971) ibid.4, 1815 (1971)

[c14] L. H. Chan and R. W. Haymaker, Phys. Rev. D 7, 402 (1973) ibid.7, 415 (1973) ibid.10, 4143 (1974)

[c15] M. Gell-Mann, R. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c16] L.-M. Chounet, J.-M. Gaillard, and M. K. Gaillard, Phys. Rep. 4C, 199 (1972)

[c17] Particle Data Group, Phys. Lett. 50B, 1 (1974)

[c18] A. Bramòn and M. Greco, Phys. Lett. 48B, 137 (1974)

[c19] B. Hu, Phys. Rev. D 9, 1825 (1974)

[c20] J. Schechter and M. Singer [Phys. Rev. D 12, 2781 (1975)]

[c21] M. Gell-Mann, Phys. Lett. 8, 274 (1964) G. Zweig, in Symmetries in Elementary Particle Physics, (Academic, New York, 1965) M. Han and Y. Nambu, Phys. Rev. 139, B1006 (1965)

[c22] A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1975) [4]

[c23] I. Bars, M. B. Halpern, and M. Yoshimura, Phys. Rev. Lett. 29, 969 (1972) Phys. Rev. D 7, 1233 (1973) B. de Wit, Nucl. Phys. B51, 237 (1973) B. de Wit, S.-Y. Pi, and J. Smith, Phys. Rev. D 10, 4278 (1974)

[c24] Omitted endnote

[c25] [7]

[c26] S. L. Adler, Phys. Rev. 177, 2426 (1969)

[c27] S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)

[c28] B. L. Beron et al., SLAC Report No. HEPL-766, 1975 (unpublished)

[c29] J.-E. Augustin et al., Phys. Rev. Lett. 34, 764 (1975)

[c30] G. Altarelli, N. Cabibbo, and L. Maiani, Phys. Rev. Lett. 35, 635 (1975)

[c31] M. Perl, unpublished lectures

[c32] Omitted endnote

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Mass spectrum of spin-zero mesons

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