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. 
Kazunori Kohri, Masafumi Koike, Yasufumi Konishi, Shingo Ohta, Joe   Sato, Takashi Shimomura, Kenichi Sugai, Masato Yamanaka
hep-ph astro-ph.CO