Big-bang nucleosynthesis through bound-state effects with a long-lived slepton in the NMSSM

Abstract

We show that the Li problems can be solved in the next-to-minimal supersymmetric standard model where the slepton as the next-to-lightest SUSY particle is very long-lived. Such a long-lived slepton induces exotic nuclear reactions in big-bang nucleosynthesis, and destroys and produces the ${}^7$Li and ${}^6$Li nuclei via bound state formation. We study cases where the lightest SUSY particle is singlino-like neutralino and bino-like neutralino to present allowed regions in the parameter space which is consistent with the observations on the dark matter and the Higgs mass.

Comments: 23 pages, 36 figures; corrected typos and added report numbers, acknowledgments and references