Photon Low-Energy Theorem and the Radiative Decays of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>Ω</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math></span> Particle

L. R. Ram Mohan

doi:10.1103/PhysRevD.3.2148

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Photon Low-Energy Theorem and the Radiative Decays of the $Ω^{-}$ Particle

L. R. Ram Mohan

Department of Physics, Purdue University, Lafayette, Indiana 47907

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Phys. Rev. D 3, 2148 – Published 1 May, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.2148

Abstract

The photon low-energy theorem due to Low, and to Adler and Dothan is applied to the two-body radiative decays of the $Ω^{-}$ particle. The decay amplitudes are evaluated in the resulting pole model. With the usual assumptions of octet dominance and $CP$ invariance for the weak Hamiltonian, it is shown that the parity-violating amplitude for $Ω^{-} \to Ξ^{* -} γ$ should be zero for a current $\times$ current weak interaction. The weak vertex parameters obtained from a fit to the experimental data on the nonleptonic decays of the hyperons are used to estimate the decay amplitudes and the decay rates. The implications of the results obtained earlier by Raszillier and Burlacu on the three-body radiative decays $Ω^{-} \to B_{8} + P + γ$ are discussed. Theoretical estimates for the decay rates of weak decay modes of the $Ω^{-}$ particle have been compiled.

References (16)

Y. Hara, Phys. Rev. Letters 12, 378 (1964)
S. P. Rosen, Phys. Rev. 137, B326 (1965)
L. R. Ram Mohan, Phys. Rev. D 1, 266 (1970)
I. Raszillier and L. Burlacu, Z. Physik 233, 471 (1970) L. Burlacu, I. Raszillier, and I. O. Stamatescu (unpublished)
T. D. Lee and C. N. Yang, Phys. Rev. 109, 1755 (1958)
S. Meshkov, C. A. Levinson, and H. J. Lipkin, Phys. Rev. Letters 10, 361 (1963)
F. E. Low, Phys. Rev. 110, 974 (1958)
S. L. Adler and Y. Dothan, Phys. Rev. 151, 1267 (1966)
J. Pestieau, Phys. Rev. 160, 1555 (1967)
G. Feldman, P. T. Matthews, and A. Salam, Phys. Rev. 121, 302 (1961)
G. Calcucci and G. Furlan, Nuovo Cimento 21, 679 (1961) J. C. Pati, Phys. Rev. 130, 2097 (1963)
R. H. Graham and S. Pakvasa, Phys. Rev. 140, B1144 (1965) L. R. Ram Mohan, ibid. 179, 1561 (1969) Phys. Rev. D 2, 2101 (1970)
M. Gourdin and Ph. Salin, Nuovo Cimento 27, 193 (1963)
I. J. Muzinich, Phys. Letters 14, 252 (1965) S. Pakvasa and S. P. Rosen, Phys. Rev. 147, 1166 (1966)
Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)
S. Barshay, U. Nauenberg, and J. Schultz, Phys. Rev. Letters 12, 76 (1964) R. D. Young, M. Sugawara, and T. Sakuma, Phys. Rev. 145, 1181 (1966) M. C. Li, ibid. 141, 1328 (1966)

[c1] Y. Hara, Phys. Rev. Letters 12, 378 (1964)

[c2] S. P. Rosen, Phys. Rev. 137, B326 (1965)

[c3] L. R. Ram Mohan, Phys. Rev. D 1, 266 (1970)

[c4] I. Raszillier and L. Burlacu, Z. Physik 233, 471 (1970) L. Burlacu, I. Raszillier, and I. O. Stamatescu (unpublished)

[c5] T. D. Lee and C. N. Yang, Phys. Rev. 109, 1755 (1958)

[c6] S. Meshkov, C. A. Levinson, and H. J. Lipkin, Phys. Rev. Letters 10, 361 (1963)

[c7] F. E. Low, Phys. Rev. 110, 974 (1958)

[c8] S. L. Adler and Y. Dothan, Phys. Rev. 151, 1267 (1966)

[c9] J. Pestieau, Phys. Rev. 160, 1555 (1967)

[c10] G. Feldman, P. T. Matthews, and A. Salam, Phys. Rev. 121, 302 (1961)

[c11] G. Calcucci and G. Furlan, Nuovo Cimento 21, 679 (1961) J. C. Pati, Phys. Rev. 130, 2097 (1963)

[c12] R. H. Graham and S. Pakvasa, Phys. Rev. 140, B1144 (1965) L. R. Ram Mohan, ibid. 179, 1561 (1969) Phys. Rev. D 2, 2101 (1970)

[c13] M. Gourdin and Ph. Salin, Nuovo Cimento 27, 193 (1963)

[c14] I. J. Muzinich, Phys. Letters 14, 252 (1965) S. Pakvasa and S. P. Rosen, Phys. Rev. 147, 1166 (1966)

[c15] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

[c16] S. Barshay, U. Nauenberg, and J. Schultz, Phys. Rev. Letters 12, 76 (1964) R. D. Young, M. Sugawara, and T. Sakuma, Phys. Rev. 145, 1181 (1966) M. C. Li, ibid. 141, 1328 (1966)

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Photon Low-Energy Theorem and the Radiative Decays of the $Ω^{-}$ Particle

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Photon Low-Energy Theorem and the Radiative Decays of the Ω− Particle

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References (16)

Photon Low-Energy Theorem and the Radiative Decays of the $Ω^{-}$ Particle