Abstract
The recent observation of 4He implies that our universe has a large lepton asymmetry.We consider the Affleck-Dine (AD) mechanism for lepton number generation.In the AD mechanism, non-topological solitons called L-balls are produced, and the generated lepton number is confined in them.The L-balls protect the generated lepton number from being converted to baryon number through the sphaleron processes.We study the formation and evolution of the L-balls and find that the universe with large lepton asymmetry suggested by the recent 4He measurement can be realized.
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