Neutral Higgs boson pair production via $\gamma \gamma$ collision in the minimal supersymmetric standard model at linear colliders

We investigate in detail the $\gamma \gamma$ fusion production mechanisms of two neutral Higgs bosons ($h^0{A}^0$, $H^0{A}^0$, $h^0{H}^0$ and $H^0{H}^0$) within the framework of the mSUGRA-inspired minimal supersymmetric standard model(MSSM) at an $e^{+}{e}^{-}$ linear colliders, which provide a probe of the trilinear Higgs self-couplings. We calculate the dependence of the production rates on Higgs boson masses, the ratio of the vacuum expectation values $\tan \beta$andtheCMSenergy$\sqrt{s}$\mathrm{.}Wefindthatthecrosssectionforthe$H^0H^0$productionatLCcanreach$0.2 fb$,whilethecrosssectionof$A^0H^0$productionisonly$10^{-4}\sim 10^{-3} fb$ under our parameters.