Odd-even differences in moments of inertia

Blocking effect and the effect of the Coriolis interaction are studied as the causes of the odd-even difference in the moments of inertia. The cranking formula is used to calculate the moments of inertia and the pairing Hamiltonian is diagonalized to obtain the state vectors and their energies that are necessary to calculate the moments of inertia. The moment of inertia is divided into two parts. One part I-Delta v=2 comes from a part of the angular momentum operator that changes the seniority by 2. This part is the contribution from the even core in the odd-particle system and the blocking effect emerges in this part. The other part I-Delta v=0 comes from that which does not change the seniority. This part corresponds to the contribution of the Coriolis interaction to the moment of inertia. Calculations are made for systems with N = 95-101. Three typical examples are analyzed. The first example shows the importance of I-Delta v=0, the second example shows that the moment of inertia becomes an increasing function of G, the strength of the pairing interaction,because of the predominance of I-Delta v=0, and the third example shows the situation where I-Delta v=0 is negligibly small. It is also shown that the blocking of a special level by the last odd particle brings about the smaller value for I-Delta v=2 relative to the moment of inertia for the neighboring even-particle system. [S0556-2813(98)01412-5].