Ponente
Dr.
Valery Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))
Descripción
The coherent inelastic processes of the type $a --> b$, which
may take place in the interaction of hadrons and $\gamma$ quanta with
nuclei at very high energies (the nucleus remains the same), are
theoretically investigated. For taking into account the influence of
matter inside the nucleus, the optical model, based on the conception of the refraction index, is used .
Analytical formulas for the effective cross section
$\sigma_{coh}(a --> b )$ are obtained,
taking into account that at ultrarelativistic energies the
main contribution into $\sigma_{coh}(a --> b )$
is provided by very small transferred momenta in the vicinity
of the minimal longitudinal momentum transferred to the
nucleus. It is shown that the cross section
$\sigma_{coh}(a --> b )$ may be expressed through the
"forward" amplitudes of inelastic scattering
$f_{a + N --> b + N}(0)$ and elastic scattering
$f_{a + N --> a + N}(0)$, $f_{b + N --> b + N}(0)$
on a separate nucleon, and it depends on the ratios
$L_a/R$ and $L_b/R $, where $L_a$ and $L_b$ are
the respective mean free paths in the nucleus matter for the
particles $a$ and $b$, and $R$ is the nuclear radius.
The above formalism is generalized also for the case of
coherent inelastic multiparticle processes on a nucleus
of the type $ a --> \{ b_1, b_2, b_3 ....b_i \}$, and
for the case of coherent processes at collisions of two
ultrarelativistic nuclei .
Autor primario
Dr.
Valery Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))
Coautor
Dr.
Vladimir Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))