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      The Dynamics of Affleck-Dine Condensate Collapse

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          Abstract

          In the MSSM, cosmological scalar field condensates formed along flat directions of the scalar potential (Affleck-Dine condensates) are typically unstable with respect to formation of Q-balls, a type of non-topological soliton. We consider the dynamical evolution of the Affleck-Dine condensate in the MSSM. We discuss the creation and linear growth, in F- and D-term inflation models, of the quantum seed perturbations which in the non-linear regime catalyse the collapse of the condensate to non-topological soliton lumps. We study numerically the evolution of the collapsing condensate lumps and show that the solitons initially formed are not in general Q-balls, but Q-axitons, a pseudo-breather which can have very different properties from Q-balls of the same charge. We calculate the energy and charge radiated from a spherically symmetric condensate lump as it evolves into a Q-axiton. We also discuss the implications for baryogenesis and dark matter.

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          Non-Linear Axion Dynamics and Formation of Cosmological Pseudo-Solitons

          The \((3+1)\)-dimensional evolution of an inhomogeneous axion field configuration around the QCD epoch is studied numerically, including important non-linear effects due to the attractive self-interaction. It is found that axion perturbations on scales corresponding to causally disconnected regions at \(T \sim 1 \, {\rm GeV}\) can lead to very dense pseudo-soliton configurations we call axitons. These configurations evolve to axion miniclusters with present density \(\rho_a \ga 10^{-8}\,{\rm g \, cm^{-3}}\). This is high enough for the collisional \(2a \rightarrow 2a\) process to lead to Bose--Einstein relaxation in the gravitationally bound clumps of axions, forming Bose stars.
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            Journal
            10.1016/S0550-3213(99)00776-2
            hep-ph/9908316

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