Isoscalar <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi>π</mi></math></span> resonances and current-algebra constraints in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>ψ</mi></mrow><mrow><mo>′</mo></mrow></msup></mrow><mo>→</mo><mi>ψ</mi><mo>+</mo><mn>2</mn><mn></mn><mi>π</mi></math></span>

J. Pasupathy

doi:10.1103/PhysRevD.13.764

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Isoscalar $π π$ resonances and current-algebra constraints in $ψ^{'} \to ψ + 2 π$

J. Pasupathy

Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India

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Phys. Rev. D 13, 764 – Published 1 February, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.764

Abstract

The difficulty of classifying three $I = 0$ , low-lying scalar resonances [in particular $ε (700)$ ] within an SU(4) framework is stressed. Current-algebra constraints are worked out for the decay $ψ^{'} \to ψ + 2 π$ ; these lead to a matrix element disfavoring small pion momenta. A companion discussion is given of the decays $η^{'} = η π π$ and $ω^{'} = ω π π$ .

References (24)

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 (1974)
S. Okubo, Phys. Lett. 5, 164 (1963)
M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47, 277 (1975)
G. S. Abrams et al., Phys. Rev. Lett. 34, 1181 (1975)
R. Von Royen and V. F. Weisskopf, Nuovo Cimento 50A, 617 (1967)
P. Estabrooks, in π-π Scattering—1973, proceedings of the International Conference on π-π Scattering and Associated Topics, Tallahassee, 1973, edited by P. K. Williams and V. Hagopian (A.I.P., New York, 1973)
J. L. Rosner, Phys. Rep. 11C, 189 (1974)
A. Barbaro-Galtieri et al., in π-π Scattering—1973, proceedings of the International Conference on π-π Scattering and Associated Topics, Tallahassee, 1973, edited by P. K. Williams and V. Hagopian (A.I.P., New York, 1973)
H. Kastrup, Nucl. Phys. B15, 179 (1970) C. N. Chang and P. G. O. Freund, Ann. Phys. (N.Y.) 61, 182 (1970) R. Crewther, Phys. Rev. D 3, 3152 (1971) ibid.4, 3814 (1971) B. Renner and C. P. Staunton, ibid. 5, 1676 (1972)
F. J. Yndurain, GIFT Report No. 1/75 Departments de Fisica Teorica Universidad Autonoma de Madrid (unpublished)
S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973)
[C. G. Callan and S. B. Treiman, Phys. Rev. Lett. 16, 153 (1966) S. Weinberg, ibid. 17, 336 (1966)]
S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics (Benjamin, New York, 1968) [16]
Omitted endnote
Riazuddin and S. Oneda, Phys. Rev. Lett. 27, 548 (1971) ibid.27, 1250(E) (1971)
M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
S. L. Glashow and S. Weinberg, Phys. Rev. Lett. 20, 224 (1968)
C. A. Singh and J. Pasupathy, Phys. Rev. Lett. 35, 1193 (1975)
J. Diaz et al., Phys. Rev. Lett. 32, 260 (1974)
M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Lett. 8, 261 (1962)
Omitted endnote
L. S. Brown and R. N. Cahn [Phys. Rev. Lett. 34, 1 (1975)]
J. Pasupathy, Phys. Lett. 58B, 71 (1975) Phys. Rev. D 12, 2929 (1975)

[c1] 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)

[c2] G. S. Abrams et al., Phys. Rev. Lett. 33, 1453 (1974)

[c3] S. Okubo, Phys. Lett. 5, 164 (1963)

[c4] M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47, 277 (1975)

[c5] G. S. Abrams et al., Phys. Rev. Lett. 34, 1181 (1975)

[c6] R. Von Royen and V. F. Weisskopf, Nuovo Cimento 50A, 617 (1967)

[c7] P. Estabrooks, in π-π Scattering—1973, proceedings of the International Conference on π-π Scattering and Associated Topics, Tallahassee, 1973, edited by P. K. Williams and V. Hagopian (A.I.P., New York, 1973)

[c8] J. L. Rosner, Phys. Rep. 11C, 189 (1974)

[c9] A. Barbaro-Galtieri et al., in π-π Scattering—1973, proceedings of the International Conference on π-π Scattering and Associated Topics, Tallahassee, 1973, edited by P. K. Williams and V. Hagopian (A.I.P., New York, 1973)

[c10] H. Kastrup, Nucl. Phys. B15, 179 (1970) C. N. Chang and P. G. O. Freund, Ann. Phys. (N.Y.) 61, 182 (1970) R. Crewther, Phys. Rev. D 3, 3152 (1971) ibid.4, 3814 (1971) B. Renner and C. P. Staunton, ibid. 5, 1676 (1972)

[c11] F. J. Yndurain, GIFT Report No. 1/75 Departments de Fisica Teorica Universidad Autonoma de Madrid (unpublished)

[c12] S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973)

[c13] [C. G. Callan and S. B. Treiman, Phys. Rev. Lett. 16, 153 (1966) S. Weinberg, ibid. 17, 336 (1966)]

[c14] S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics (Benjamin, New York, 1968) [16]

[c15] Omitted endnote

[c16] Riazuddin and S. Oneda, Phys. Rev. Lett. 27, 548 (1971) ibid.27, 1250(E) (1971)

[c17] M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c18] S. L. Glashow and S. Weinberg, Phys. Rev. Lett. 20, 224 (1968)

[c19] C. A. Singh and J. Pasupathy, Phys. Rev. Lett. 35, 1193 (1975)

[c20] J. Diaz et al., Phys. Rev. Lett. 32, 260 (1974)

[c21] M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Lett. 8, 261 (1962)

[c22] Omitted endnote

[c23] L. S. Brown and R. N. Cahn [Phys. Rev. Lett. 34, 1 (1975)]

[c24] J. Pasupathy, Phys. Lett. 58B, 71 (1975) Phys. Rev. D 12, 2929 (1975)

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Isoscalar $π π$ resonances and current-algebra constraints in $ψ^{'} \to ψ + 2 π$

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Isoscalar ππ resonances and current-algebra constraints in ψ′→ψ+2π

Abstract

References (24)

Isoscalar $π π$ resonances and current-algebra constraints in $ψ^{'} \to ψ + 2 π$