| In 2012,the last particles of the standard model-Higgs was found at the large hadron collider(LHC)of CERN.The standard model,describing elementary par-ticles and interaction theory is proved to be successful.However,there still are some problems,for example,many input parameters,the issues are related to the dark matter and the masses of neutrinos,etc..In the new physical model,the SUSY always be researched.To slove the small cosmological structure simulation-s,people is introduced the left-handed singlet in the Minimal Suppersymmetry Stand Model(MSSM).However MSSM is not applicable for the annihilation of dark matter and the Spin cross section of dark matter,because the constraint for the Spin cross section is very strong.Further research,in order to solve the problem of the constraint of the BBN on the single state Higgs,research the dark matter self interaction in NMSSM,that is introduce the right-handed in NMSSM.Check if the self-interacting DM scenario and BBN constraints can be realized.We will take into account of constraints from DM relic abundance.we found:(1)With the SNN couplingλ>0(the singlet forms a dark sector),There is enough parameter space survives and the Sommerfeld enhancement factor can be realized;(2)The singlet sector can give good explanation of relic abundance of dark matter and small cosmological structure simulations;(3)The mass of the Higgs particles is very light,get the massm_h=2m_μ,make theoretical guidance for experimental detection. |