Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment

The quantum Cheshire cat is an effect demonstrated within the framework of weak measurement aided with post-selection scenario where the property (say, grin) of a quantum particle (the cat) can be found in a spatially separated location from its position. In this work, we first propose interesting variants of quantum Cheshire cat where disembodiment of two different properties of a "cat" is demonstrated, so that, the grin and the meowing of it can be found in two different paths on an interferometer while the cat is in another path. We further extend this proposal for three-qutrit and d-qudit systems of a single particle. We provide sketches of the experimental proposals for testing our scheme by using the path, spin and energy degrees of freedoms of a single neutron and the path, polarization and orbital angular momentum of a single photon.