Time-Dependent Description of Incomplete Fusion of Nuclei and Cluster and Nucleon-Transfer Reactions

• Published in: Physics of atomic nuclei Vol. 81; no. 4; pp. 486 - 496
• Main Author: Samarin, V. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-07-2018; Springer; Springer Nature B.V
• Subjects: CALCIUM 40; Calcium isotopes; CARBON 12; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Clusters; COLLISIONS; COULOMB FIELD; CROSS SECTIONS; Evolution; Mathematical analysis; NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclei; NUCLEONS; NUMERICAL SOLUTION; Particle and Nuclear Physics; Physics; Physics and Astronomy; Schrodinger equation; SCHROEDINGER EQUATION; TIME DEPENDENCE; TIN 124; VANADIUM 51; WAVE FUNCTIONS
• ISSN: 1063-7788; 1562-692X
• DOI: 10.1134/S1063778818040178

A numerical solution of the time-dependent Schrödinger equation is applied in studying the dynamics of incomplete fusion of nuclei and cluster- and nucleon-transfer reactions at energies near the Coulomb barrier. The evolution of wave functions for all nucleons is used to describe multineutron- and multiproton-transfer reactions in
40
Ca+
124
Sn collisions. The results of the calculations are in satisfactory agreement with experimental data. The evolution of the alpha-cluster wave function in the
12
C nucleus is used to calculate the incomplete-fusion cross section for the
12
C+
51
V reaction. Agreement with experimental data for the (
12
C,
α
) and (
12
C, 2
α
) channels is attained.