Description of resonant nuclear
reactions on light nuclei using
ab initio no-core shell model
wave functions
Knowledge of nuclear cross sections
is important for the LLNL programs. Not all needed cros sections can be
measured experimentally. Therefore, theoretical calculations that employ
approaches with predictive power play important role.
Recent advances in nuclear structure
description of light nuclei within the
ab initio no-core shell model
make it possible to obtain realistic multi-configuration
many-body wave functions.
Such wave functions are then appropriate
to be combined with a suitable nuclear reaction model.
Coupling of the ab initio
shell model with a nuclear reaction model is achieved in two steps
The no-core shell model Hamiltonian
of the A-nucleon system is transformed to an orthonormalized and
antisymmetrized sub-cluster basis of the type (A-x,x) that
among other states also contains all the incoming and the outgoing channels.
The incoming and the outgoing
channels are matched to the asymptotic states using a suitable matching
condition
Matching of the logarithmic
derivative in the coordinate space :
R-matrix theory
Matching in the harmonic
oscillator basis space : J-matrix
theory
June 3, 2002. For
information about this page, contact Petr Navratil UCRL-WEB-148720
