Sturm-Liouville expansion method in nuclear physics

Journal Article · Wed Mar 01 04:00:00 EST 1978 · Sov. J. Particles Nucl. (Engl. Transl.); (United States)

OSTI ID:6192785

Bang, J; Gareev, F A; Ivanova, A P

The expansion of the form factors of one- and two-nucleon transfer reactions with respect to the Sturm-Liouville functions corresponding to the Woods-Saxon potential is discussed. Completeness and the convergence of the expansion as r..-->..infinity are elucidated. The theory of direct nucleon-transfer reactions is briefly presented, special attention being paid to the role of the form factor. A number of applications of the method, to single-particle transfers to deformed nuclei and two-particle transfers to spherical nuclei, are discussed. The advantages of the Sturm-Liouville method are revealed by a comparison with the exact expression for the asymptotic behavior of the form factors and with other methods of calculation.

• Research Organization: Niels Bohr Institute, Copenhagen
• OSTI ID: 6192785
• Journal Information: Sov. J. Particles Nucl. (Engl. Transl.); (United States), Journal Name: Sov. J. Particles Nucl. (Engl. Transl.); (United States) Vol. 9:2; ISSN SJPNA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
DEFORMED NUCLEI
DIFFERENTIAL EQUATIONS
DIRECT REACTIONS
EQUATIONS
FORM FACTORS
MULTI-NUCLEON TRANSFER REACTIONS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
ONE-NUCLEON TRANSFER REACTIONS
PARTICLE PROPERTIES
POTENTIALS
STURM-LIOUVILLE EQUATION
TRANSFER REACTIONS
TWO-NUCLEON TRANSFER REACTIONS
WOODS-SAXON POTENTIAL