Positronium lifetime calculation

A. A. Pivovarov

doi:10.1103/PhysRevD.47.5183

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Positronium lifetime calculation

A. A. Pivovarov^*

International Centre for Theoretical Physics, Trieste 34100, Italy and Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia

^*Address after 15 November 1992.

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Phys. Rev. D 47, 5183 – Published 1 June, 1993

DOI: https://doi.org/10.1103/PhysRevD.47.5183

Abstract

A new approach to a positronium lifetime calculation is proposed. The method is completely relativistic and gauge invariant. The full positronium width is determined through several parameters connected with a dynamics of forming the bound state. These parameters play the same role as structure functions in the case of inclusive deep-inelastic lepton-hadron scattering or the pion decay constant $f_{π}$ for strong interactions. They should be calculated using a nonperturbative model of the bound state. The explicit calculations of (para)positronium lifetime to one-loop order in $α$ are presented.

References (14)

C. I. Westbrook, D. W. Gidley, R. S. Conti, and A. Rich, Phys. Rev. Lett. 58, 1328 (1987) ibid.58, 2153(E) (1987) Phys. Rev. A 40, 5489 (1989)
W. G. Caswell and G. P. Lepage, Phys. Rev. A 20, 36 (1979) G. S. Adkins, Ann. Phys. (N.Y.) 146, 78 (1983)
R. Barbieri, E. d'Emilio, E. Curci, and E. Remiddi, Nucl. Phys. B154, 535 (1979)
G. P. Lepage and P. Mackenzie, Phys. Rev. Lett. 47, 1244 (1981)
G. P. LepageP. MackenziePerturbative Quantum Chromodynamics, edited by A. H. Mueller (World Scientific, Singapore, 1989)
H. D. Politzer, Nucl Phys. B129, 301 (1977) A. V. Efremov and A. V. Radyushkin, Phys. Lett. 63B, 449 (1976) Nuovo Cimento Lett. 19, 83 (1977)
H. Lehmann, K. Symanzik, and W. Zimmermann, Nuovo Cimento 1, 1425 (1955) ibid.6, 319 (1957)
K. G. Wilson, Phys. Rev. 179, 1499 (1969)
S. Narison, Phys. Lett. B 197, 405 (1987)
R. van Royen and V. F. Weisskopf, Nucl. Phys. B50, 617 (1967) T. Appelquist and H. D. Politzer, Phys. Rev. D 12, 1404 (1975)
V. A. Novikov et al., Nucl. Phys. B237, 525 (1984) A. A. Ovchinnikov and A. A. Pivovarov, Yad. Fiz. 48, 1135 (1988) [Sov. J. Nucl. Phys. 48, 721 (1988)]
A. V. Radyushkin and S. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 43, 428 (1986) [JETP Lett. 43, 551 (1986)]
I. I. Balitsky and V. M. Braun, Nucl. Phys. B361, 93 (1991)
A. A. Pivovarov, Phys. Lett. B 236, 214 (1990) ibid.255, 117 (1991)

[c1] C. I. Westbrook, D. W. Gidley, R. S. Conti, and A. Rich, Phys. Rev. Lett. 58, 1328 (1987) ibid.58, 2153(E) (1987) Phys. Rev. A 40, 5489 (1989)

[c2] W. G. Caswell and G. P. Lepage, Phys. Rev. A 20, 36 (1979) G. S. Adkins, Ann. Phys. (N.Y.) 146, 78 (1983)

[c3] R. Barbieri, E. d'Emilio, E. Curci, and E. Remiddi, Nucl. Phys. B154, 535 (1979)

[c4] G. P. Lepage and P. Mackenzie, Phys. Rev. Lett. 47, 1244 (1981)

[c5] G. P. LepageP. MackenziePerturbative Quantum Chromodynamics, edited by A. H. Mueller (World Scientific, Singapore, 1989)

[c6] H. D. Politzer, Nucl Phys. B129, 301 (1977) A. V. Efremov and A. V. Radyushkin, Phys. Lett. 63B, 449 (1976) Nuovo Cimento Lett. 19, 83 (1977)

[c7] H. Lehmann, K. Symanzik, and W. Zimmermann, Nuovo Cimento 1, 1425 (1955) ibid.6, 319 (1957)

[c8] K. G. Wilson, Phys. Rev. 179, 1499 (1969)

[c9] S. Narison, Phys. Lett. B 197, 405 (1987)

[c10] R. van Royen and V. F. Weisskopf, Nucl. Phys. B50, 617 (1967) T. Appelquist and H. D. Politzer, Phys. Rev. D 12, 1404 (1975)

[c11] V. A. Novikov et al., Nucl. Phys. B237, 525 (1984) A. A. Ovchinnikov and A. A. Pivovarov, Yad. Fiz. 48, 1135 (1988) [Sov. J. Nucl. Phys. 48, 721 (1988)]

[c12] A. V. Radyushkin and S. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 43, 428 (1986) [JETP Lett. 43, 551 (1986)]

[c13] I. I. Balitsky and V. M. Braun, Nucl. Phys. B361, 93 (1991)

[c14] A. A. Pivovarov, Phys. Lett. B 236, 214 (1990) ibid.255, 117 (1991)

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Positronium lifetime calculation

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References (14)

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