43 research outputs found
Relativistic transport theory of N, \Delta and N^{*}(1440) interacting through , and mesons
A self-consistent relativistic integral-differential equation of the
Boltzmann-Uehling-Uhlenbeck-type for the (1440) resonance is developed
based on an effective Lagrangian of baryons interacting through mesons. The
closed time-path Green's function technique and semi-classical, quasi-particle
and Born approximations are employed in the derivation. The non-equilibrium
RBUU-type equation for the (1440) is consistent with that of nucleon's
and delta's which we derived before. Thus, we obtain a set of coupled equations
for the , and (1440) distribution functions.
All the (1440)-relevant in-medium two-body scattering cross sections
within the , and (1440) system are derived from the same
effective Lagrangian in addition to the mean field and presented analytically,
which can be directly used in the study of relativistic heavy-ion collisions.
The theoretical prediction of the free cross section is
in good agreement with the experimental data. We calculate the in-medium , and cross
sections in cold nuclear matter up to twice the nuclear matter density. The
influence of different choices of the coupling strengths, which
can not be obtained through fitting certain experimental data, are discussed.
The results show that the density dependence of predicted in-medium cross
sections are sensitive to the coupling strengths used. An evident
density dependence will appear when a large scalar coupling strength of
is assumed.Comment: 64 pages, Latex, 13 PostScript figures include