Towards understanding the probability of 0+ ground states in even-even many-body systems -: art. no. 041301

For single-j shells with j=7/2, 9/2, and 11/2, we relate the large probability of I+ ground states to the largest (smallest) coefficients alpha (J)(I(upsilon beta)) = , where n is the particle number, v is the seniority, beta is an additional quantum number, and I is the angular momentum of the state. Interesting regularities of the probabilities of I+ ground states are noticed and discussed for four-particle systems. Several counter examples of the 0(+) ground state (0g.s.) predominance are noticed for the first time.