The negative parity states and some electromagnetic transition properties of even-odd erbium isotopes ( 159,161,163,165 Er) were studied within the framework of the interacting boson-fermion model. The single fermion is assumed to be in one of the lh 9/2 , 3p 3/2 , 2f 5/2 , and 3p 1/2 single-particle orbits. It was found that the calculated negative parity state energy spectra of the even-odd erbium isotopes agree quite well with the experimental data. The B(E2) values were also calculated and compared with the experimental data.

In this work, we analyse the positive parity of states of odd-mass nucleus within the framework of interacting boson-fermion model. The result of an IBFM-1 multilevel calculation with the 2d 5/2 , 1g 7/2 , 3s 1/2 , 2d 3/2 and 1h 11/2 , single particle orbits is reported for the positive parity states of the odd-mass nucleus 125−129 Xe. Also, an IBM-1 calculation is presented for the low-lying states in the even-even 124−128 Xe core nucleus. The energy levels and B(E2) transition probabilities were calculated and compared with the experimental data. It was found that the calculated positive parity low-spin state energy spectra of the odd-mass 125−129 Xe isotopes agree quite well with the experimental data.

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