One- and two-electron atomic screening in fusion reactions

Journal Article · Sun Aug 01 00:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.837· OSTI ID:6024685

Shoppa, T D; Koonin, S E; Langanke, K; Seki, R ^[1]

---

1. W. K. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125 (United States)

Recent laboratory experiments have measured fusion cross sections at center-of-mass energies low enough that the effects of atomic electrons are important. To extract the cross section for bare nuclei from these data (as required for astrophysical applications), it is necessary to understand these screening effects. We present a model in which the evolution of the electron wave function is treated dynamically in the time-dependent Hartree-Fock scheme, while the motion of the nuclei is treated classically. We have calculated screening in the [ital d]+[sup 2]H and [ital d]+[sup 3]He reactions and give the effective screening energy [ital U][sub [ital e]] at small internuclear separations as a function of [ital E]. The resulting [ital U][sub [ital e]] values do not exceed the previously established adiabatic limits, and thus cannot explain the higher screening energies derived from experiment.

• DOE Contract Number: FG03-87ER40347
• OSTI ID: 6024685
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 48:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEUTERON REACTIONS
THERMONUCLEAR REACTIONS
HELIUM 3 TARGET
ELECTRONS
HARTREE-FOCK METHOD
INTEGRAL CROSS SECTIONS
TIME DEPENDENCE
WAVE FUNCTIONS
CALCULATION METHODS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
LEPTONS
NUCLEAR REACTIONS
NUCLEOSYNTHESIS
SYNTHESIS
TARGETS
663440* - D-
T-
& He-induced Reactions & Scattering- (1992-)