Physical problems are studied by the most intelligent people of the humankind who ve won the deserved recognition.
Psychology is still full of unstudied problems today.
These problems are to be solved. You can consider and solve them. And at the same time you may remain in physics. Moreover it is worth being a physicist and of course becoming a professor in physics for a start. It can be an effective widening of the physical view of the world to the other spheres of human knowledge.