Simple Interpretation of Interacting-Boson-Approximation Wave Functions and Transition Rates in Deformed Nuclei

1982 ◽  
Vol 48 (10) ◽  
pp. 666-669 ◽  
Author(s):  
R. F. Casten ◽  
D. D. Warner
Keyword(s):  
Wave Functions ◽  
Transition Rates ◽  
Deformed Nuclei ◽  
Simple Interpretation ◽  
Boson Approximation

DESCRIPTION OF E1 TRANSITION IN DOUBLY EVEN WELL-DEFORMED NUCLEI

1994 ◽  
Vol 03 (04) ◽  
pp. 1227-1250 ◽  
Author(s):  
V.G. SOLOVIEV ◽  
A.V. SUSHKOV ◽  
N. YU. SHIRIKOVA
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Ground State ◽  
Transition Probabilities ◽  
Wave Functions ◽  
Radial Dependence ◽  
Nuclear Model ◽  
Transition Rates ◽  
Deformed Nuclei ◽  
Dipole Interactions

One-phonon states with Kπ=0− and 1− are calculated within the RPA taking the isoscalar and isovector particle-hole and particle-particle octupole and isovector particlehole dipole interactions into account. General equations of the Quasiparticle-Phonon Nuclear Model are modified. The energies and wave functions of the nonrotational states below 2.3 MeV in 160Gd calculated within this model are in good overall agreement with experimental data. The E1 transition rates in several doubly even well-deformed nuclei are calculated. The influence of the radial dependence of the dipole and octupole interactions on E1 and E3 transition probabilities is investigated. It is shown that the fragmentation of one-phonon states below 2.3 MeV weakly affects the E1 transition rates from 1− states to the ground state. The fragmentation of one- and two-phonon states strongly affect B(E1) values of the transitions from 1− states with energy above 2.5 MeV to the ground states and between excited states. The results of calculating the E1 transition rates are compared with the relevant experimental data.

Gauge dependence of atomic inner-shell transition rates from Dirac-Fock wave functions

1983 ◽  
Vol 28 (5) ◽  
pp. 2829-2837 ◽  
Author(s):  
Mau Hsiung Chen ◽  
Bernd Crasemann
Keyword(s):  
Wave Functions ◽  
Transition Rates ◽  
Gauge Dependence

scholarly journals Transition Rates for 3s3p2 4P–3s3p4s 4Po Transitions in Al i

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 54
Author(s):  
Charlotte Froese Fischer ◽  
James Babb
Keyword(s):  
Wave Functions ◽  
Transition Rates ◽  
Transition Energies

Fully relativistic calculations have been performed for two multiplets, 3 s 3 p 2 4 P and 3 s 3 p 4 s 4 P o , in Al i. Wave functions were obtained for all levels of these multiplets using the grasp programs. Reported are the E1 transitions rates for all transitions between levels of these multiplets. Transition energies and transition rates are compared with observed values and other theory. Our calculated transition rates are smaller by about 10% than observed rates, reducing a large discrepancy between earlier calculations and experiments.

Quadrupole and Hexadecapole Vibrational Excitations in Deformed Nuclei

1997 ◽  
Vol 06 (03) ◽  
pp. 437-473 ◽  
Author(s):  
V. G. Soloviev ◽  
A. V. Sushkov ◽  
N. Yu. Shirikova
Keyword(s):  
Experimental Data ◽  
Rare Earth ◽  
Energy Range ◽  
Strength Distribution ◽  
Wave Functions ◽  
Nuclear Model ◽  
Vibrational States ◽  
Deformed Nuclei ◽  
Structure Information ◽  
Vibrational Excitations

Energies, wave functions of the quadrupole and hexadecapole states, B(Eλ) and B(M1) values are calculated within the quasiparticle-phonon nuclear model in a number of well-deformed even-even nuclei in the rare earth region. Reasonably good overall agreement with available experimental data is obtained. Specific properties of the Kπ = 0+ and two-gamma vibrational states are discussed. The distributions of the M1 strength is studied. It is shown that the M1 strength is more strongly fragmented in Er isotopes compared to Gd and Dy isotopes. The fragmentation of one- and two-phonon states is investigated. The fragmentation of one-phonon states strongly affects the Eλ and M1 strength distribution at energies above 2.5–3.0 MeV. The wave functions in the energy range 2–4 MeV contain specific nuclear structure information and these states cannot be treated as chaotic.

The Use of Gaussian Approximations in Nuclear Calculations

1973 ◽  
Vol 51 (19) ◽  
pp. 2054-2062
Author(s):  
R. E. Griffin ◽  
A. B. Volkov ◽  
K. R. Lassey
Keyword(s):  
Coulomb Interaction ◽  
Single Particle ◽  
Gaussian Approximation ◽  
Wave Functions ◽  
Coulomb Energy ◽  
Heavy Nuclei ◽  
Deformed Nuclei ◽  
Type Wave ◽  
Particle Potential ◽  
Single Particle Potential

Gaussian approximations can be extremely useful in calculations involving deformed nuclei. In particular, Nilsson type wave functions of a deformed Saxon–Wood type single-particle potential can be evaluated extremely rapidly by using Gaussians to describe the potential. Furthermore, a single 6-Gaussian approximation to the Coulomb interaction can be used to calculate the Coulomb energy to an appropriate accuracy for both light and heavy nuclei.

scholarly journals NORMALIZATION OF WAVE FUNCTION OF THE BAND STATES

2015 ◽  
Vol 16 (1) ◽  
Author(s):  
Abdurahim A. Okhunov ◽  
Gulbadanbegim Sh. Mamathonova ◽  
Torla Hj. Hassan ◽  
Mohammad Jahangir Alam ◽  
Mukhtorjon X Ismoilov
Keyword(s):  
Wave Function ◽  
Phenomenological Model ◽  
Wave Functions ◽  
Energy Spectra ◽  
Deformed Nuclei ◽  
Excited Band

Low – lying band states are one of the most fundamental excitation modes in the energy spectra of deformed nuclei. Present paper a theoretically analysis the properties of deformed nucley within the phenomenological model (Usmanov 2010). The normalization of the wave functions of low – lying excited band states are calculated.

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