Positive parity states and some electromagnetic transition properties of even-odd europium isotopes

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NUCLEI Theory

Positive Parity States and Some Electromagnetic Transition Properties of Even–Odd Europium Isotopes∗ Harun Resit Yazar** Nevsehir University, Faculty of Art and Science, Nevsehir, Turkey Received September 17, 2012; in final form, December 4, 2012

Abstract—The positive-parity low-spin states of even–odd Europium isotopes (151−155 Eu) were studied within the framework of the interacting boson–fermion model. The calculated positive low-spin state energy spectra of the odd Eu isotope were found to agree quite well with the experimental data. The B(E2) values were also calculated and it was found that the calculated positive-parity low-spin state energy spectra of the odd-A Eu isotopes agree quite well with the experimental data. DOI: 10.1134/S106377881306015X

1. INTRODUCTION Nuclear structure studies of medium- to heavymass nuclei have been facilitated in recent years by the use of the interacting boson approximation (IBA), with collective states in nuclei being well described in the SU (5) (vibrational), SU (3) (rotational) and O(6) (γ-vibrational) limits. In a simple form involving s and d bosons (which can be equated to the monopole and the quadrupole degrees of freedom of the Bohr– Mottelson Hamiltonian), the spectrum and electromagnetic properties of isolated nuclei have been well classified by using appropriate choice of the scale parameters.The s(L = 0) and the d(L = 2) bosons of the IBA model can be represented as correlated pairs of fermions, thus, investigating such correlations is of interest not only to probe in detail the mass variation of the nuclear structure that may be classified using various forms of the IBA models but also to engender an interacting fermion–boson model of nuclear structure with which odd-mass nuclei can be investigated. The IBA offers a simple Hamiltonian capable of describing collective nuclear properties across a wide range of nuclei and is founded on rather general algebraic group-theoretical techniques that have also found recent applications to problems in atomic, molecular, and high-energy physics [1–4]. The application of the IBA represents a significant step forward in our understanding of the nuclear structure and it is currently a subject of considerable interest and controversy. ∗ **

The text was submitted by the author in English. E-mail: [email protected]

Many authors studied nuclear structure and level structure of different nuclei by using different theoretical and experimental methods such as Bhattacharya et al. [5] studied on level structure, singlenucleon-transfer spectroscopic factors, electromagnetic transition strengths, and relative gamma-ray branching, Guchhait et al. [6] determined the level energies, spectroscopic factor and E2 transition strengths, Prokofjev et al. [7] studied on the γ-ray and conversion electron spectra of 155 Eu from the (n, γ) reaction, Bianco et al. [8] studied gammaray transitions in 147 Eu and analysed in terms of the interacting boson–fermion model. There are also theoretical studies of particular isotopes with differen