Mass formulas for <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi></math></span> particles

Hidezumi Terazawa

doi:10.1103/PhysRevD.13.760

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Mass formulas for $ψ$ particles

Hidezumi Terazawa

Institute for Nuclear Study, University of Tokyo, Tanashi City, Tokyo 188, Japan

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Phys. Rev. D 13, 760 – Published 1 February, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.760

Abstract

Five classes of mass formulas in a color-quark model for $ψ$ particles are presented. They include SU(3) and $SU {(3)}_{c}$ mass sum rules, $SU (3) \times SU {(3)}_{c}$ mass proportionalities and reciprocities, and $1 + F_{c}^{2}$ mass relations. All the formulas that can be checked experimentally are satisfied within experimental errors of less than 2%. A unified mass formula is also proposed which explains the masses of $ψ$ particles unambiguously and which predicts those of yet undiscovered color-octet vector mesons.

References (6)

A. I. Sanda and H. Terazawa, Phys. Rev. Lett. 34, 1403 (1975)
H. Terazawa and A. I. Sanda, Phys. Rev. Lett. 35, 1110 (1975)
J.-E. Augustin et al., Phys. Rev. Lett. 33, 1406 (1974) G. S. Abrams et al., ibid. 33, 1453 (1974) A. M. Boyarski et al., ibid. 34, 762 (1975) J.-E. Augustin et al., ibid. 34, 764 (1975) G. S. Abrams et al., ibid. 34, 1181 (1975) A. M. Boyarski et al., ibid. 34, 1357 (1975) J. J. Aubert et al., 33, 1404 (1973)
M.-Y. Han and Y. Nambu, Phys. Rev. 139, B1006 (1965) Y. Miyamoto, Prog. Theor. Phys. Suppl, extra number, 187 (1965)
Y. Nambu and M.-Y. Han, Phys. Rev. D 10, 674 (1974)
Particle Data Group, Phys. Lett. 50B, 1 (1974)

[c1] A. I. Sanda and H. Terazawa, Phys. Rev. Lett. 34, 1403 (1975)

[c2] H. Terazawa and A. I. Sanda, Phys. Rev. Lett. 35, 1110 (1975)

[c3] J.-E. Augustin et al., Phys. Rev. Lett. 33, 1406 (1974) G. S. Abrams et al., ibid. 33, 1453 (1974) A. M. Boyarski et al., ibid. 34, 762 (1975) J.-E. Augustin et al., ibid. 34, 764 (1975) G. S. Abrams et al., ibid. 34, 1181 (1975) A. M. Boyarski et al., ibid. 34, 1357 (1975) J. J. Aubert et al., 33, 1404 (1973)

[c4] M.-Y. Han and Y. Nambu, Phys. Rev. 139, B1006 (1965) Y. Miyamoto, Prog. Theor. Phys. Suppl, extra number, 187 (1965)

[c5] Y. Nambu and M.-Y. Han, Phys. Rev. D 10, 674 (1974)

[c6] Particle Data Group, Phys. Lett. 50B, 1 (1974)

Physical Review D

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Mass formulas for $ψ$ particles

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Mass formulas for ψ particles

Abstract

References (6)

Mass formulas for $ψ$ particles