  This paper addresses the focusing cubic-quintic nonlinear Schrodinger
equation in three space dimensions. Especially, we study the global dynamics of
solutions whose energy and mass equal to those of the ground state in the
sprits of Duyckaerts and Merle (2009). When we try to obtain the corresponding
result, we meet several difficulties due to the cubic-quintic nonlinearity. We
overcome them by using the one-pass theorem (no return theorem) developed by
Nakanishi and Schlag (2012).
