Abstract
The Electric Reduced Transition Probabilities have been estimated for the even neutron numbers of isotopes using Interacting Boson Model-1 (IBM-1). The U(5) symmetry, values, intrinsic quadrupole moments and deformation parameters of even neutron of isotopes have been studied. The R4/2 values of isotopes have been calculated for the first and energy states and thus U(5) limit is identified.
Highlights
Iachello and Arima developed the Interacting Boson Mode-l (IBM-1) [1, 2]
To provide a phenomenological description of spectroscopic data over a wide range of nuclei demonstrating collective features including those customarily interpreted in terms of an-harmonic vibrators or deformed rotors the interacting-boson model (IBM) was found
The Interacting Boson Model-1 (IBM-1) model has been employed theoretically to study the intermediate configuration and configuration mixing around the shell closure Z=28
Summary
Iachello and Arima developed the Interacting Boson Mode-l (IBM-1) [1, 2]. For many-body systems, the vibrational and rotational frequencies characterize the nuclear collective motion of comparable order of magnitude, to prevent a clear-cut distinction between the two types of motion. To provide a phenomenological description of spectroscopic data over a wide range of nuclei demonstrating collective features including those customarily interpreted in terms of an-harmonic vibrators or deformed rotors the interacting-boson model (IBM) was found. The models IBM-1 and IBM-2 are restricted to nuclei with even numbers of protons and neutrons. In the IBM-1 the boson number N is calculated by adding the partial numbers (number of bosons for the proton and that of the neutron) i.e. It is assumed that the particle configurations are coupled together forming pairs of angular momentum 0 and 2 These proton (neutron) pairs are treated as bosons. Proton (neutron) bosons with angular momentum ' = 0 are denoted by ! Are called s-bosons, while proton (neutron) bosons with angular momentum ' = 2 are denoted by.
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