Abstract
Using a semiclassical approach, we analyze the collective behavior of neutrinos and antineutrinos in a dense background. Applying the Wigner transform technique, we show that the interaction can be modeled by a coupled system of nonlinear Vlasov-like equations. From these equations, we derive a dispersion relation for neutrino-antineutrino interactions on a general background. The dispersion relation admits a novel modulational instability. Moreover, we investigate the modifications of the instability due to thermal effects. The results are examined, together with a numerical example, and we discuss the induced density inhomogeneities using parameters relevant to the early Universe.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Q. R. Ahmad et al. (SNO Collab.), Phys. Rev. Lett. 89, 011301 (2002).
A. D. Dolgov, Phys. Rep. 370, 333 (2002).
Y. Sofue and V. C. Rubin, Annu. Rev. Astron. Astrophys. 39, 137 (2001).
S. Tremaine and J. E. Gunn, Phys. Rev. Lett. 42, 407 (1979).
G. G. Raffelt and J. Silk, Phys. Lett. B 192, 65 (1987).
F. Atrio-Barandela and S. Davidson, Phys. Rev. D 55, 5886 (1997).
Y. Fukuda et al. (Super-Kamiokande Collab.), Phys. Rev. Lett. 81, 1562 (1998); Phys. Lett. B 436, 33 (1998); Phys. Rev. Lett. 82, 1810 (1999).
O. Elgaroy, O. Lahav, W. J. Percival, et al., Phys. Rev. Lett. 89, 061301 (2002).
S. Hannestad, Phys. Rev. D 66, 125011 (2002); K. N. Abazajian and S. Dodelson, Phys. Rev. Lett. 91, 041301 (2003).
T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989).
L. O. Silva, R. Bingham, J. M. Dawson, et al., Astrophys. J. 127, 481 (2000).
H. A. Weldon, Phys. Rev. D 26, 2789 (1982).
D. Nötzhold and G. Raffelt, Nucl. Phys. B 307, 924 (1988).
H. Nunokawa, V. B. Semikoz, A. Y. Smirnov, and J. W. F. Valle, Nucl. Phys. B 501, 17 (1997).
G. G. Raffelt, Stars as Laboratories for Fundamental Physics (Univ. of Chicago Press, Chicago, 1996).
N. L. Tsintsadze, J. T. Mendonca, and L. N. Tsintsadze, Phys. Plasmas 5, 3512 (1998); P. K. Shukla, L. Stenflo, L. N. Tsintsadze, and N. L. Tsintsadze, Phys. Plasmas 9, 3625 (2002).
V. I. Karpman, Nonlinear Waves in Dispersive Media (Nauka, Moscow, 1973; Pergamon, Oxford, 1975).
A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer, Berlin, 1975).
M. Marklund, P. K. Shukla, and L. Stenflo, Phys. Scr. (2004) (in press).
J. Pantaleone, Phys. Lett. B 342, 250 (1995).
E. P. Wigner, Phys. Rev. 40, 749 (1932); J. E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949); V. B. Semikoz, Physica A (Amsterdam) 142, 157 (1987).
D. Anderson, L. Helczynski, M. Lisak, and V. Semenov, Phys. Rev. E 69, 025601 (2004).
B. Carr, Annu. Rev. Astron. Astrophys. 32, 531 (1994).
Ya. B. Zel’dovich and R. A. Syunyaev, Sov. Astron. Lett. 6, 249 (1980); A. G. Doroshkevich, Ya. B. Zel’dovich, R. A. Syunyaev, and M. Yu. Khlopov, Sov. Astron. Lett. 6, 252 (1980); Sov. Astron. Lett. 6, 257 (1980); P. J. E. Peebles, Astrophys. J. 258, 415 (1982); S. D. M. White, C. S. Frenk, and M. Davis, Astrophys. J. Lett. 274, L1 (1983); G. G. Raffelt, New Astron. Rev. 46, 699 (2002).
P. J. E. Peebles, Principles of Physical Cosmology (Princeton Univ. Press, Princeton, 1993).
Author information
Authors and Affiliations
Additional information
From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 126, No. 1, 2004, pp. 14–25.
Original English Text Copyright © 2004 by Marklund, Shukla, Betschart, Stenflo, Anderson, Lisak.
This article was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Marklund, M., Shukla, P.K., Betschart, G. et al. Modulational instabilities in neutrino-antineutrino interactions. J. Exp. Theor. Phys. 99, 9–18 (2004). https://doi.org/10.1134/1.1787073
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1787073