Abstract
The He II → He I recombination of primordial helium plasma (z ≃ 1500–3000) is considered in terms of the standard cosmological model. This process affects the formation of cosmic microwave background anisotropy and spectral distortions. We investigate the effect of neutral hydrogen on the He II → He I recombination kinetics with partial and complete redistributions of radiation in frequency in the He I resonance lines. We show that to properly compute the He II → He I recombination kinetics, it is important to take into account not only the wings in the absorption and emission profiles of the He I resonance lines, but also the mechanism of the redistribution of resonance photons in frequency. Thus, for example, the relative difference in the numbers of free electrons for the model using Doppler absorption and emission profiles and the model using a partial redistribution in frequency is 1–1.3% for the epoch z = 1770–1920. The relative difference in the numbers of free electrons for the model using a partial redistribution in frequency and the model using a complete redistribution in frequency is 1–3.8% for the epoch z = 1750–2350.
Similar content being viewed by others
References
M. M. Basko, Zh. Eksp. Teor. Fiz. 75, 1278 (1978) [Sov. Phys. JETP 48, 644 (1978)].
M. S. Burgin, Astron. Zh. 80, 771 (2003) [Astron. Rep. 47, 709 (2003)].
M.S. Burgin, V. L. Kauts, and N.N. Shakhvorostova, Pis’ma Astron. Zh. 32, 563 (2006) [Astron. Lett. 32, 507 (2006)].
J. Chluba and R. A. Sunyaev, Astron. Astrophys. 446, 39 (2006).
J. Chluba and R. A. Sunyaev, Astron. Astrophys. 475, 109 (2007).
J. Chluba and R. A. Sunyaev, Astron. Astrophys. 478, L27 (2008).
J. Chluba and R. A. Sunyaev, Astron. Astrophys. 480, 629 (2008).
N. N. Chugai, Astrofizika 26, 89 (1987).
V. K. Dubrovich, Pis’ma Astron. Zh. 1, 3 (1975) [Sov. Astron. Lett. 1, 1 (1975)].
V. K. Dubrovich and S. I. Grachev, Pis’ma Astron. Zh. 31, 403 (2005) [Astron. Lett. 31, 359 (2005)].
V. K. Dubrovich and V. A. Stolyarov, Pis’ma Astron. Zh. 23, 643 (1997) [Astron. Lett. 23, 565 (1997)].
D. Galli and F. Palla, Planet. Space Sci. 50, 1197 (2002).
S. I. Grachev, Astrofizika 28, 205 (1988).
S. I. Grachev and V. K. Dubrovich, Astrofizika 34, 249 (1991).
S. I. Grachev and V. K. Dubrovich, arXiv:0801.3347 (2008).
J. P. Harrington, Mon. Not. R. Astron. Soc. 162, 43 (1973).
C.M. Hirata, arXiv:0803.0808 (2008).
C. M. Hirata and E. R. Switzer, Phys. Rev. D 77, 083007 (2008).
V. V. Ivanov, Radiative Transfer and the Spectra of Celestial Bodies (Nauka, Moscow, 1969) [in Russian].
B. J. T. Jones and R. F. G. Wyse, Astron. Astrophys. 149, 144 (1985).
E. E. Kholupenko and A. V. Ivanchik, Pis’ma Astron. Zh. 32,12, 883 (2006) [Astron. Lett. 32, 795 (2006)].
E. E. Kholupenko, A. V. Ivanchik, and D. A. Varshalovich, Mon. Not. R. Astron. Soc. Lett. 378, L39 (2007); astro-ph/0703438.
K. R. Lang, Astrophysical Formulae (Mir, Moscow, 1978; Springer-Verlag, New York, 2002).
P. K. Leung, C. W. Chan, and M.-C. Chu, Mon. Not. R. Astron. Soc. 349, 632 (2004).
T. Matsuda, H. Sato, and H. Takeda, Progr. Theor. Phys. 42, 219 (1969).
D. I. Nagirner, Lectures on the Theory of Radiative Transfer (St. Petersburg State Univ., St. Petersburg, 2001) [in Russian].
B. Novosyadlyj, Mon. Not. R. Astron. Soc. 370, 1771 (2006).
P. J. Peebles, Astrophys. J. 142, 1317 (1965).
P. J. Peebles, Astrophys. J. 153, 1 (1968).
J. A. Rubino-Martin, J. Chluba, and R. A. Sunyaev, arXiv:0711.0594 (2007).
G. B. Rybicki and I. P. dell’Antonio, ASP Conf. Ser. 51, 548 (1993).
S. Seager, D. Sasselov, and D. Scott, Astrophys. J. Lett. 523, L1 (1999).
S. Seager, D. Sasselov, and D. Scott, Astrophys. J. Suppl. Ser. 128, 407 (2000).
P. C. Stancil, A. Loeb, M. Zaldarriaga, et al., Astrophys. J. 580, 29 (2002).
R. A. Sunyaev and J. Chluba, arXiv:0802.0772 (2008).
E. R. Switzer and C. M. Hirata, Phys. Dev. D. 77, 083006 (2008).
D. A. Varshalovich and R. A. Sunyaev, Astrofizika 4, 359 (1968).
W. Y. Wong and D. Scott, Mon. Not. R. Astron. Soc. 375, 1441 (2007).
W. Y. Wong, A. Moss, and D. Scott, Mon. Not. R. Astron. Soc. 386, 1023 (2008).
Ya. B. Zeldovich, V. G. Kurt, and R. A. Sunyaev, Zh. Eksp. Teor. Fiz. 55, 278 (1968) [Sov. Phys. JETP 28, 146 (1968)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.E. Kholupenko, A.V. Ivanchik, D.A. Varshalovich, 2008, published in Pis’ma v Astronomicheskiĭ Zhurnal, 2008, Vol. 34, No. 11, pp. 803–818.
Rights and permissions
About this article
Cite this article
Kholupenko, E.E., Ivanchik, A.V. & Varshalovich, D.A. He II → He I recombination of primordial helium plasma including the effect of neutral hydrogen. Astron. Lett. 34, 725–738 (2008). https://doi.org/10.1134/S1063773708110017
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063773708110017