Pair production in a rotating strong magnetic field

Antonino Di Piazza; Giorgio Calucci

doi:10.1103/PhysRevD.65.125019

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Pair production in a rotating strong magnetic field

Antonino Di Piazza^* and Giorgio Calucci^†

Dipartimento di Fisica Teorica, Strada Costiera 11, Trieste, I-34014, Italy
INFN, Sezione di Trieste, Italy

^*Email address: dipiazza@ts.infn.it
^†Email address: giorgio@ts.infn.it

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Phys. Rev. D 65, 125019 – Published 13 June, 2002

DOI: https://doi.org/10.1103/PhysRevD.65.125019

Abstract

We calculate the production probability of an $e^{-} - e^{+}$ pair in a strong rotating magnetic field. After deriving some selection rules concerning the states in which the pair can be created and their connection with the time variation of the magnetic field, we conclude that for pair production the change of direction of the magnetic field is a much more efficient mechanism than the change of its strength.

References (23)

M. Feroci et al., Astrophys. J. Lett. 515, L9 (1999).
K. Hurley et al., Nature (London) 397, 41 (1999).
P. Mészáros, astro-ph/0111170.
B. Paczyński, Astrophys. J. Lett. 494, L45 (1998).
M. Vietri and L. Stella, Astrophys. J. Lett. 507, L45 (1998).
M. J. Rees and P. Mészáros, Astrophys. J. Lett. 545, L73 (2000).
L. Amati et al., Science 290, 953 (2000).
M. Vietri et al., Astrophys. J. Lett. 550, L43 (2001).
P. Mészáros, Science 291, 79 (2001).
G. Barbiellini and F. Longo, astro-ph/0105464.
G. W. Gibbons, Mon. Not. R. Astron. Soc. 177, 37P (1976).
R. Ruffini, astro-ph/9811232.
J. S. Heyl, Phys. Rev. D 63, 064028 (2001).
C. Thompson and R. C. Duncan, Astrophys. J. 408, 194 (1993).
H. Hanami, Astrophys. J. 491, 687 (1997).
G. Calucci, Mod. Phys. Lett. A 14, 1183 (1999).
A. Di Piazza and G. Calucci, in Proceedings of the QEDSP2001 International Conference dedicated to the 90th anniversary of A. I. Akhiezer, Kharkov, Ukraine.
A. B. Migdal and V. Krainov, Approximation Methods in Quantum Mechanics (Benjamin, New York, 1969), Chap. 2.
C. Cohen-Tannoudji, B. Diu, and F. Laloë, Mécanique Quantique—Tome I (Hermann, Paris, 1977), Chap. 6.
V. G. Bagrov and D. M. Gitman, Exact Solutions of Relativistic Wave Equations (Kluwer Academic, Dordrecht, 1990), Chap. 2.
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[c1] M. Feroci et al., Astrophys. J. Lett. 515, L9 (1999).

[c2] K. Hurley et al., Nature (London) 397, 41 (1999).

[c3] P. Mészáros, astro-ph/0111170.

[c4] B. Paczyński, Astrophys. J. Lett. 494, L45 (1998).

[c5] M. Vietri and L. Stella, Astrophys. J. Lett. 507, L45 (1998).

[c6] M. J. Rees and P. Mészáros, Astrophys. J. Lett. 545, L73 (2000).

[c7] L. Amati et al., Science 290, 953 (2000).

[c8] M. Vietri et al., Astrophys. J. Lett. 550, L43 (2001).

[c9] P. Mészáros, Science 291, 79 (2001).

[c10] G. Barbiellini and F. Longo, astro-ph/0105464.

[c11] G. W. Gibbons, Mon. Not. R. Astron. Soc. 177, 37P (1976).

[c12] R. Ruffini, astro-ph/9811232.

[c13] J. S. Heyl, Phys. Rev. D 63, 064028 (2001).

[c14] C. Thompson and R. C. Duncan, Astrophys. J. 408, 194 (1993).

[c15] H. Hanami, Astrophys. J. 491, 687 (1997).

[c16] G. Calucci, Mod. Phys. Lett. A 14, 1183 (1999).

[c17] A. Di Piazza and G. Calucci, in Proceedings of the QEDSP2001 International Conference dedicated to the 90th anniversary of A. I. Akhiezer, Kharkov, Ukraine.

[c18] A. B. Migdal and V. Krainov, Approximation Methods in Quantum Mechanics (Benjamin, New York, 1969), Chap. 2.

[c19] C. Cohen-Tannoudji, B. Diu, and F. Laloë, Mécanique Quantique—Tome I (Hermann, Paris, 1977), Chap. 6.

[c20] V. G. Bagrov and D. M. Gitman, Exact Solutions of Relativistic Wave Equations (Kluwer Academic, Dordrecht, 1990), Chap. 2.

[c21] I. M. Ryzhik and I. S. Gradshteyn, Tables of Integrals, Series and Products (Academic, New York, 1965).

[c22] J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), Chap. 12.

[c23] M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, England, 1959), Chaps. 3,4.

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Pair production in a rotating strong magnetic field

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