dorsal/arxiv
View SchemaExcitation energies, polarizabilities, multipole transition rates, and lifetimes in Th IV
| Authors | U. I. Safronova, W. R. Johnson, M. S. Safronova |
|---|---|
| Categories | |
| ArXiv ID | physics/0608182 |
| URL | https://arxiv.org/abs/physics/0608182 |
| DOI | 10.1103/PhysRevA.74.042511 |
Abstract
Excitation energies of the ns_{1/2} (n=7-10), np_j (n=7-9), nd_j (n=6-8), nf_{j} (n=5-7), and ng_{j} (n=5-6) states in Th IV are evaluated. First-, second-, third-, and all-order Coulomb energies and first- and second-order Coulomb-Breit energies are calculated. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the 96 possible nl_j-n'l'_j' electric-dipole transitions. Multipole matrix elements (7s_{1/2}-6d_j, 7s_{1/2}-5f_j, and 5f_{5/2}-5f_{7/2}) are evaluated to obtain the lifetimes of the $5f_{7/2}$ and 7s_{1/2}$ states. Matrix elements are calculated using both relativistic many-body perturbation theory, complete through third order, and a relativistic all-order method restricted to single and double (SD) excitations. Scalar and tensor polarizabilities for the 5f_{5/2} ground state in Th3+ are calculated using relativistic third-order and all-order methods. These calculations provide a theoretical benchmark for comparison with experiment and theory.
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"date_created": "2026-03-02T18:01:11.169000Z",
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"abstract": "Excitation energies of the ns_{1/2} (n=7-10), np_j (n=7-9), nd_j (n=6-8),\nnf_{j} (n=5-7), and ng_{j} (n=5-6) states in Th IV are evaluated. First-,\nsecond-, third-, and all-order Coulomb energies and first- and second-order\nCoulomb-Breit energies are calculated. Reduced matrix elements, oscillator\nstrengths, transition rates, and lifetimes are determined for the 96 possible\nnl_j-n\u0027l\u0027_j\u0027 electric-dipole transitions. Multipole matrix elements\n(7s_{1/2}-6d_j, 7s_{1/2}-5f_j, and 5f_{5/2}-5f_{7/2}) are evaluated to obtain\nthe lifetimes of the $5f_{7/2}$ and 7s_{1/2}$ states. Matrix elements are\ncalculated using both relativistic many-body perturbation theory, complete\nthrough third order, and a relativistic all-order method restricted to single\nand double (SD) excitations. Scalar and tensor polarizabilities for the\n5f_{5/2} ground state in Th3+ are calculated using relativistic third-order and\nall-order methods. These calculations provide a theoretical benchmark for\ncomparison with experiment and theory.",
"arxiv_id": "physics/0608182",
"authors": [
"U. I. Safronova",
"W. R. Johnson",
"M. S. Safronova"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.74.042511",
"title": "Excitation energies, polarizabilities, multipole transition rates, and lifetimes in Th IV",
"url": "https://arxiv.org/abs/physics/0608182"
},
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