Algebraic cluster model calculations for vibrational to gamma-unstable shape phase transition in odd-A nuclei
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 131
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شناسه ملی سند علمی:
JR_JORNA-2-3_001
تاریخ نمایه سازی: 7 اسفند 1401
چکیده مقاله:
The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset. We schemed a solvable extended transitional Hamiltonian based on the SU(۱;۱) Lie algebra within the framework for two-, three- and four-body algebraic cluster models that explains both regions O(۴) U(۳), O(۷) U(۶) and O(۱۰)-U(۹), respectively. We suggest that this method can be used to study of k + x nucleon structures with k = ۲, ۳, ۴ and x = ۱, ۲ and so on. The obtained results in this study confirm that this ACM technique is worth extending for investigating odd-A and odd-odd nuclei. So, the clustering survives the addition of one and two particles. Our studies confirm the importance of the odd nuclei as necessary signatures to characterize the occurrence of the phase transition and to determine the precise position of the critical point.
کلیدواژه ها:
Quantum Phase Transition ، Interacting Boson Fermion Model ، SU(۱ ، ۱) algebra ، Algebraic Cluster Model (ACM)
نویسندگان
M. Ghapanvari
Plasma and Nuclear Physics Research School, Nuclear Science and Technology Research Institute (NSTRI), P.O. Box: ۱۴۱۵۵-۱۳۳۹, Tehran, Iran
A. Kargarian
Plasma and Nuclear Physics Research School, Nuclear Science and Technology Research Institute (NSTRI), P.O. Box: ۱۴۱۵۵-۱۳۳۹, Tehran, Iran