Hilbert-Schmidt expansion for the nucleon-deuteron scattering amplitude

Journal Article · Thu Dec 01 04:00:00 EST 1983 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6464925

Moeller, K; Narodetskii, I M

The Hilbert-Schmidt method is used to sum the divergent iterative series for the partial amplitudes of nucleon-deuteron scattering in the energy region above the deuteron breakup threshold. It is observed that the Hilbert-Schmidt series for the partial amplitudes themselves diverges, which is due to the closeness of the logarithmic singularities. But if the first iterations in the series for multiple scattering are subtracted from the amplitude, the Hilbert-Schmidt series for the remainder converges rapidly. The final answer obtained in the present paper is in excellent agreement with the results obtained in exact calculations.

• Research Organization: Institute of Theoretical and Experimental Physics, GKIAE
• OSTI ID: 6464925
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 38:6; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

651215* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON REACTIONS
DEUTERIUM TARGET
ELASTIC SCATTERING
ENERGY RANGE
HADRON REACTIONS
INELASTIC SCATTERING
MEV RANGE
MEV RANGE 10-100
NUCLEAR REACTIONS
NUCLEON REACTIONS
PARTIAL WAVES
SCATTERING
SCATTERING AMPLITUDES
TARGETS