12. The masses of a set of isobars that are members of the same isospin multiplet can be written as the expectation value of a mass operator with the form where a, b, c are constants and Tz is the...

12. The masses of a set of isobars that are members of the same isospin multiplet can be written as the expectation value of a mass operator with the form

where a, b, c are constants and Tz is the operator for the z component of the isotopic spin.

(a) Derive this formula.

(b) How large must the isospin be in order to test it experimentally?