On the question of spin assignment and quantized alignment in the a~ 100-140 superdeformed mass region

Abstract EN

The structure of the superdeformed (SD) mass region, A~ 100-140 is re-studied using a direct approach based on the rotational energy formula E (I, K).

The variation of the kinematic (1) and dynamic (2) moments of inertia as a function of rotational frequency (ℏω) have been examined to calculate the lowest spin (If) and the K-value of the SD bands: 104Pd(b1), 132Ce(b1), 134Nd(b1), 136Nd(b2), 142Sm(b1), 148Eu(b1, b2), 131Ce(b1, b2), 133Ce(b1, b2), 133Pr(b1, b3), 137Sm(b1) and 143Eu(b1).

The expansion parameters A and B, of such method have been adjusted using a search program to fit the proposed transition energies Eγ with their corresponding experimental ones.

The calculated Eγ are strongly dependent on the identified spins.

It was found that, when an accurate bandhead spin (I0) is assigned, a good agreement is achieved between the calculated Eγ and their corresponding experimental data.

The results for the spin are in satisfactory agreement with other theoretical results and available experimental data.

The good agreement between the calculation and experiment gives good support to the model set.

The incremental alignment Δi and also the angular momentum alignment i(ω), for the identical SD bands (ISDB’s) exist among the considered ones, have been studied and the results verified well Stephens’s law of alignment.