Nuclear physics

A sequence of low-lying states in an even-even nucleus has spins 0, 2, 4, and 6, with excitation energies approximately proportional to J(J+1). What nuclear structure does this pattern most strongly suggest?

Schematic excitation-energy plot showing 0+, 2+, 4+, and 6+ states with increasing rotational-like energies.
Schematic level pattern for a sequence of even-spin nuclear states.