Theory of the nuclear shift of levels in heavy atoms

Journal Article · Sat Mar 01 04:00:00 EST 1980 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6639717

Mur, V D; Popov, V S

The results of Kudryavtsev and Popov (JETP Lett. 29, 280 (1979)) are generalized to incude the relativsitc Coulumb problem for the case when the parameter zeta=Z..cap alpha..=Z/137 is not small. The matching-derivatives method is used and the Klein-Gordon and Dirac equations outside the nucleus (r>r/sub N/) are solved exactly. Explicit analytical formulae for the nuclear level shift are obtained for the case mr/sub N/<<1. These formulae are employed in calculation of the critical distance of colliding heavy ions (with inclusion of the finite dimensions of the colliding nuclei). The results agree in the nonrelativistic limit (zeta<<1) with the K-P results.

• Research Organization: Institute of Theoretical and Experimental Phyics, State Commission on Use of Atomic Energy
• OSTI ID: 6639717
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 31:3; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

640305* -- Atomic
Molecular &amp; Chemical Physics-- Atomic &amp; Molecular Theory-- (-1987)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMIC MODELS
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
ELECTRONIC STRUCTURE
ENERGY LEVELS
EQUATIONS
HEAVY NUCLEI
KLEIN-GORDON EQUATION
MATHEMATICAL MODELS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
SPECTRAL SHIFT
WAVE EQUATIONS