Abstract

We model clusters of axions with spherically symmetric momentum but arbitrary spatial distributions and study the directional profile of photos produced in their evolution through spontaneous and stimulated decay of axions via the process $a \rightarrow \gamma + \gamma$. Several specific examples are presented.

Highlights

  • Axions are copiously produced at the QCD phase transition

  • If axions are a component of the cold dark matter (CDM), they can form density perturbations in the early Universe

  • The initial density perturbations can infall and evolve to form caustics [4], which have complicated geometries. Another possibility is that axions can be produced after the formation of primordial black holes (PBHs)

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Summary

INTRODUCTION

Axions are copiously produced at the QCD phase transition. A possible way to detect these cosmological axions is through the observation of lasing axion clouds (clumps). The initial density perturbations can infall and evolve to form caustics [4], which have complicated geometries Another possibility is that axions can be produced after the formation of primordial black holes (PBHs). Such black holes can be the results of various early Universe processes, from cosmic string or domain wall singularities to density perturbations. They are formed, if they have sufficient angular momentum, either initially or from mergers, superradiance can occur causing axions to populate an n, l, m 1⁄4 2, 1, 1 hydrogenlike orbit around them if the axion Compton wavelength is comparable to the PBHs’ radius. Reviews of basic axion physics, axion cosmology, axion clusters and the most recent axion search results can be found in [11,12,13,14,15,16,17,18,19]

PHOTON ANGULAR DISTRIBUTION
REAL SPHERICAL HARMONICS EXPANSION
F20: The photon number density component nγ20 growth rate is dnγ20ðtÞ dt na20 τa þ
General distribution Suppose that we have an axion number density
DISCUSSION

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