Summary
We report the first measurements of the absolute branching fractions of D-0 -> K-L(0)phi, D-0 -> K-L(0)eta, D-0 -> K-L(0)omega, and D-0 -> K-L(0)eta', by analyzing 2.93 fb(-1) of e(+) e(-) collision data taken at a center-of-mass energy of 3.773 GeV with the BESIII detector. Taking the world averages of the branching fractions of D-0 -> K-S(0)phi, D-0 -> K-S(0)eta, and D-0 -> K-S(0)eta', the K-S(0) - K-L(0) asymmetries R(D-0 , X) in these decay modes are obtained. The CP asymmetries in these decays are also determined. No significant CP violation is observed.