ALPHA DECAY OF NONAXIAL NUCLEI

Journal Article · Wed Aug 01 04:00:00 EDT 1962 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.127.905· OSTI ID:4773836

Rafiqullah, A K

A theory is developed, within the context of the DavydovFillppov model of the nucleus, to describe the even-parity alpha decay of nonaxlal nuclel. The wave equation of the system consisting of a daughter nucleus and an alpha particle is solved under the boundary conditions that on the nuclear surface the wave function shall be equal to a given function and that the function shall represent only an outgoing wave for large values of r. It is found that if the given functlon is assumed to be equal to a constant, the observed variations of the alpha transition probabilities with respect to Z in even-even nuclei cannot be explained. But if one assumes that this glven function can be represented as an expansion in spherical harmonics, keeping only quadrupole terms, the expansion coefficients being determined by the empirical data (that is, setting the boundary conditions by the empirical data), the observed variations can be theoretically reproduced. Even-parity alpha transitions in odd-A nuclei are also considered. The comparison between theory and the empirical data is quite satisfactory. (auth)

• Research Organization: Rensselaer Polytechnic Inst., Troy, N.Y.
• NSA Number: NSA-16-029833
• OSTI ID: 4773836
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 127; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ALPHA DECAY
DAVYDOV-FILIPOV MODEL
DIFFERENTIAL EQUATIONS
EVEN EVEN NUCLEI
MATHEMATICS
NUCLEAR MODELS
NUCLEI
PHYSICS
PROBABILITY
QUADRUPOLES
QUANTUM MECHANICS
SPHERICAL HARMONICS
STATISTICS
TRANSITIONS
VARIATIONS