Semiclassical treatment of fusion processes in collisions of weakly bound nuclei

Journal Article · Wed Mar 15 04:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.73.034608· OSTI ID:20771355

Canto, L F; Donangelo, R; Marta, H D ^[1]

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1. Instituto de Fisica, Universidade Federal do Rio de Janeiro, C.P. 68528, 21941-972 Rio de Janeiro (Brazil)

We describe a semiclassical treatment of nuclear fusion reactions involving weakly bound nuclei. In this treatment, the projectile-target relative motion is approximated by a classical trajectory while the intrinsic dynamics is handled by time-dependent quantum mechanics. The complete fusion probabilities are approximated by products of two factors: A tunneling probability and the probability that the system is in its ground state at the strong absorption radius. We investigate the validity of the method in a schematic two-channel application, where the continuum is represented by a single effective state with finite lifetime. Coupling effects below the Coulomb barrier are included through an analytical continuation of the time. Comparisons with full coupled-channels calculations are performed. The agreement between semiclassical and fully quantal calculations is quite good, suggesting that the procedure may be extended to more sophisticated discretizations of the continuum.

• OSTI ID: 20771355
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 73; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
COMPARATIVE EVALUATIONS
COULOMB FIELD
COUPLED CHANNEL THEORY
COUPLING
GROUND STATES
LIFETIME
NUCLEI
PROBABILITY
QUANTUM MECHANICS
SEMICLASSICAL APPROXIMATION
TIME DEPENDENCE
TUNNEL EFFECT