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Anharmonic Evolution of the Cosmic Axion Density Spectrum | | K. Strobl
; T. J. Weiler
; | | Date: |
12 May 1994 | | Journal: | Phys.Rev. D50 (1994) 7690-7702 | | Abstract: | We present analytic solutions to the spatially homogeneous axion field equation, using a model potential which strongly resembles the standard anharmonic $(1-cos N heta)$ potential, but contains only a piece-wise second order term. Our exactly soluble model for $ heta(t)$ spans the entire range $[-pi/N,pi/N]$. In particular, we are able to confirm (i) Turner’s numeric correction factors cite{Turner} to the adiabatic and harmonic analytic treatments of homogeneous axion oscillations, and (ii) Lyth’s estimate cite{Lyth} valid near the metastable misalignment angle $pi/N$ at the peak of the potential. We compute the enhancement of axion density fluctuations that occurs when the axion mass becomes significant at $Tsim 1$ GeV. We find that the anharmonicity amplifies density mbox{f}luctuations, but only significantly for relatively large initial misalignment angles. The enhancement factor is $sim$ (2,3,4,13) for $ heta_{
m in}sim (0.85,0.90,0.95,0.99) imespi$. | | Source: | arXiv, astro-ph/9405028 | | Other source: | [GID 106119] pmid10017751 | | Services: | Forum | Review | PDF | Favorites | |
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