  Background: The time-dependent Hartree-Fock (TDHF) theory has been successful
in describing low-energy heavy ion collisions. Recently, we have shown that
multinucleon transfer processes can be reasonably described in the TDHF theory
combined with the particle-number projection technique. Purpose: In this work,
we propose a theoretical framework to analyze properties of reaction products
in TDHF calculations. Methods: TDHF calculation in three-dimensional Cartesian
grid representation combined with particle number projection method. Results:
We develop a theoretical framework to calculate expectation values of operators
in the TDHF wave function after collision with the particle-number projection.
To show how our method works in practice, the method is applied to
$^{24}$O+$^{16}$O collisions for two quantities, angular momentum and
excitation energy. The analyses revealed following features of the reaction:
The nucleon removal proceeds gently, leaving small values of angular momentum
and excitation energy in nucleon removed nuclei. Contrarily, nuclei receiving
nucleons show expectation values of angular momentum and excitation energy
which increase as the incident energy increases. Conclusions: We have developed
a formalism to analyze properties of fragment nuclei in the TDHF theory
combined with the particle-number projection technique. The method will be
useful for microscopic investigations of reaction mechanisms in low-energy
heavy ion collisions as well as for evaluating effects of particle evaporation
on multinucleon transfer cross sections.
