@article { author = {Kargarian, A. and Ghapanvari, M.}, title = {Investigation of Structure and Nuclear Shape Phase Transition in Odd Nuclei in a multi-j model}, journal = {Journal of Nuclear Research and Applications}, volume = {2}, number = {2}, pages = {1-12}, year = {2022}, publisher = {Nuclear Science and Technology Research Institute (NSTRI)}, issn = {2783-3402}, eissn = {2783-3402}, doi = {10.24200/jon.2022.1014}, abstract = {In this paper‎, ‎we study the nature of the dynamics in second-order Quantum Phase Transition (QPT) between vibrational ( ) and -unstable ( ) nuclear shapes‎. ‎Using a transitional Hamiltonian according to an affine SU(1,1) algebra in combination with a coherent state formalism, Shape Phase Transitions (SPT) in odd-nuclei in the framework of the Interacting Boson Fermion Model (IBFM) are investigated‎. ‎Classical analysis reveals a change in the system along with the transition in a critical point‎. ‎The role of a fermion with angular momentum j at the critical point on quantum phase transitions in bosonic systems is investigated via a semi-classical approach‎. ‎The effect of the coupling of the odd particle to an even-even boson core is discussed along with the shape transition and‎, ‎in particular‎, ‎at the critical point‎. Our study confirms the importance of the odd nuclei as necessary signatures to characterize the occurrence of the phase transition and determine the critical point's precise position‎.}, keywords = {Affine SU(1,1) algebra,-unstable nuclear shapes,Quantum Phase Transition,Interacting Boson Fermion Model}, url = {https://jonra.nstri.ir/article_1465.html}, eprint = {https://jonra.nstri.ir/article_1465_2a5b3e300afa14306caad35d0b74cc4f.pdf} }