Mass tensor in the Bohr Hamiltonian from the nondiagonal energy weighted sum rules
- Joint Institute for Nuclear Research, RU-141980 Dubna (Russian Federation)
- Institut fuer Kernphysik der Universitaet zu Koeln, D-50937 Koeln (Germany)
Relations are derived in the framework of the Bohr Hamiltonian that express the matrix elements of the deformation-dependent components of the mass tensor through the experimental data on the energies and the E2 transitions relating the low-lying collective states. These relations extend the previously obtained results for the intrinsic mass coefficients of the well-deformed axially symmetric nuclei on nuclei of arbitrary shape. The expression for the mass tensor is suggested, which is sufficient to satisfy the existing experimental data on the energy weighted sum rules for the E2 transitions for the low-lying collective quadrupole excitations. The mass tensor is determined for {sup 106,108}Pd, {sup 108-112}Cd, {sup 134}Ba, {sup 150}Nd, {sup 150-154}Sm, {sup 154-160}Gd, {sup 164}Dy, {sup 172}Yb, {sup 178}Hf, {sup 188-192}Os, and {sup 194-196}Pt.
- OSTI ID:
- 21289866
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 79, Issue 4; Other Information: DOI: 10.1103/PhysRevC.79.044310; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
Similar Records
Hydrodynamic model wavefunctions in intrinsic coordinates and their application to the structure of even-even nuclei. [Quadrupole-vibration Hamiltonian, model energies, E2 transition rates]
HALF-LIVES OF FIRST EXCITED 2$sup +$ STATES (150 /lt/ A /lt/ 190)
Related Subjects
AXIAL SYMMETRY
BARIUM 134
BOHR THEORY
CADMIUM 108
CADMIUM 109
CADMIUM 110
CADMIUM 111
CADMIUM 112
DEFORMATION
DYSPROSIUM 164
E2-TRANSITIONS
EXCITATION
GADOLINIUM 154
GADOLINIUM 155
GADOLINIUM 156
GADOLINIUM 157
GADOLINIUM 158
GADOLINIUM 159
GADOLINIUM 160
HAFNIUM 178
HAMILTONIANS
MASS
MATRIX ELEMENTS
NEODYMIUM 150
OSMIUM 188
OSMIUM 189
OSMIUM 190
OSMIUM 191
OSMIUM 192
PALLADIUM 106
PALLADIUM 108
PLATINUM 194
PLATINUM 195
PLATINUM 196
SAMARIUM 150
SAMARIUM 151
SAMARIUM 152
SAMARIUM 153
SAMARIUM 154
SUM RULES
TENSORS
YTTERBIUM 172