A simple semi-analytical collective model that takes into account the limitations of the variation interval of the collective variable is suggested to describe the chiral dynamics in triaxial odd−odd nuclei with a fix...A simple semi-analytical collective model that takes into account the limitations of the variation interval of the collective variable is suggested to describe the chiral dynamics in triaxial odd−odd nuclei with a fixed particle−hole configuration.The collective Hamiltonian is constructed with the potential energy obtained using the postulated ansatz for the wave function symmetric with respect to chiral transformation.By diagonalizing the collective Hamiltonian the wave functions of the lowest states are obtained and the evolution of the energy splitting of the chiral doublets in transition from chiral vibration to chiral rotation regime is demonstrated.展开更多
The angular momentum dependencies parity bands of heavy nuclei have been analyzed of parity splitting and electric dipole transitions in the alternating It is shown that these dependencies can be treated in a universa...The angular momentum dependencies parity bands of heavy nuclei have been analyzed of parity splitting and electric dipole transitions in the alternating It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection- asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu.展开更多
文摘A simple semi-analytical collective model that takes into account the limitations of the variation interval of the collective variable is suggested to describe the chiral dynamics in triaxial odd−odd nuclei with a fixed particle−hole configuration.The collective Hamiltonian is constructed with the potential energy obtained using the postulated ansatz for the wave function symmetric with respect to chiral transformation.By diagonalizing the collective Hamiltonian the wave functions of the lowest states are obtained and the evolution of the energy splitting of the chiral doublets in transition from chiral vibration to chiral rotation regime is demonstrated.
基金Supported by the RFBR(Moscow)(16-02-00068A)the Russian Government Subsidy Program of the Competitive Growth of Kazan Federal University+5 种基金partly supported by the National Key R&D Program of China(2018YFA0404402)the NSF of China(11525524,11621131001,11647601,11747601,11711540016)the CAS Key Research Program of Frontier Sciences(QYZDB-SSWSYS013)the IAEA CRP“F41033”the HPC Cluster of KLTP/ITP-CASthe Supercomputing Center,CNIC of CAS
文摘The angular momentum dependencies parity bands of heavy nuclei have been analyzed of parity splitting and electric dipole transitions in the alternating It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection- asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu.