Description of critical point nuclei within an energy-dependent geometric model
作者： A. I. Budaca , R. Budaca
DOI: 10.1140/EPJP/I2019-12506-5
关键词: Angular degrees 、 Mathematical physics 、 Bohr model 、 Hamiltonian (quantum mechanics) 、 Geometric modeling 、 Physics 、 Adiabatic process 、 Separable space 、 Specific model 、 Energy dependent
摘要: An exactly solvable version of the Bohr Hamiltonian is proposed for a unified treatment transitional nuclei. The model employs an energy-dependent potential in \( \beta\) shape variable which amended with centrifugal contribution from \gamma\) and angular degrees freedom. parametrization part enables connection between adiabatic separation fluctuations suitable critical point nuclei separable solutions specific to deformed fully analytical applied known as well neighbouring isotope each case. Beside very good agreement experiment energies electromagnetic transitions, numerical results also reveal characteristics comparison more or less
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sci-hub.se 参考文章(71)
S.K. Basu, A.A. Sonzogni, Nuclear Data Sheets for Nuclear Data Sheets. ,vol. 114, pp. 435- 660 ,(2013) , 10.1016/J.NDS.2013.04.001
P. G. Bizzeti, A. M. Bizzeti-Sona, Evidence of X(5) symmetry for n γ =0,1,2 bands in 104 Mo Physical Review C. ,vol. 66, pp. 031301- ,(2002) , 10.1103/PHYSREVC.66.031301
Dennis Bonatsos, D. Lenis, D. Petrellis, P.A. Terziev, I. Yigitoglu, X(3): an exactly separable γ-rigid version of the X(5) critical point symmetry Physics Letters B. ,vol. 632, pp. 238- 242 ,(2006) , 10.1016/J.PHYSLETB.2005.10.060
Daeg S. Brenner, Are There X(5) Nuclei In The A∼80 and A∼100 Regions? AIP Conference Proceedings. ,vol. 638, pp. 223- 228 ,(2002) , 10.1063/1.1517965
R. Budaca, Spherical vibrator model with an energy increasing stiffness Physics Letters B. ,vol. 751, pp. 39- 42 ,(2015) , 10.1016/J.PHYSLETB.2015.10.023
Yu Zhang, Feng Pan, Yan-An Luo, J.P. Draayer, Critical point symmetry for the spherical to triaxially deformed shape phase transition Physics Letters B. ,vol. 751, pp. 423- 429 ,(2015) , 10.1016/J.PHYSLETB.2015.10.082
D. Tonev, A. Dewald, T. Klug, P. Petkov, J. Jolie, A. Fitzler, O. Möller, S. Heinze, P. von Brentano, R. F. Casten, Transition probabilities inGd154: Evidence for X(5) critical point symmetry Physical Review C. ,vol. 69, pp. 034334- ,(2004) , 10.1103/PHYSREVC.69.034334
Lorenzo Fortunato, Soft triaxial rotovibrational motion in the vicinity ofγ=π∕6 Physical Review C. ,vol. 70, pp. 011302- ,(2004) , 10.1103/PHYSREVC.70.011302
M.J. Martin, Nuclear Data Sheets for A = 152 Nuclear Data Sheets. ,vol. 114, pp. 1497- 1847 ,(2013) , 10.1016/J.NDS.2013.11.001
Yu Zhang, Yu-Xin Liu, Feng Pan, Yang Sun, J.P. Draayer, Euclidean dynamical symmetry in nuclear shape phase transitions Physics Letters B. ,vol. 732, pp. 55- 58 ,(2014) , 10.1016/J.PHYSLETB.2014.03.017