Description of even-even Ti isotopes within IBM-1 model

In this work, the some collective properties of even-even Ti isotopes in A50 mass region were studied by using interacting boson model-1 (IBM-1). This study includes calculations energy levels and electromagnetic transition rates 44-48Ti 52-60Ti isotopes. The neutron number 50Ti isotope is 28, magic number, was excluded from IBM-1 calculations. First, ratios analyzed comparing typical values U(5), SU(3), O(6) dynamical symmetries E(5), X(5) critical point symmetries. Later model Hamiltonian constructed according to behavior given low lying each calculated fitted parameters Hamiltonian. B(E2) also corresponding operator IBM-1. calculation results compared with experimental data they are good agreement other. Finally, R_(4/2)=E(4_1^+)/E(2_1^+), R_(0/2)=E(0_2^+)/E(2_1^+) B(E2:4_1^+→2_1^+)/B(E2:2_1^+→0_1^+), B(E2:0_2^+→2_1^+)/B(E2:2_1^+→0_1^+) analized see According obtained results, show E(5) along path spherical deformed -unstable region. Overall analysis indicates that these can be example for quantum shape phase studies isotopic chain.