Supersymmetric D=1, N=1 model with Grassmann-odd Lagrangian

A supersymmetric D=1, N=1 model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also an interaction term for the coordinates entering into one real scalar Grassmann-even (bosonic) superfield.