Quarks and anti-quarks are spinfermions. In the quark model, a meson is a bound state of a quark and an anti-quark with relative orbital angular momentum l = 0. (a) What are the possible meson spins (the values of the total spin quantum number S associated with 52 = (S + S)) in the quark model? (b) The quark-antiquark system experiences an interaction of the form V = VoS S, where Vo is a constant, 1 refers to the quark and 2 to the antiquark. What is the expectation value of V for the spin wave functions of total spin S, defined in part (a)?