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