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This paper studies the interaction of laser-driven $\gamma$-photons and highenergy charged particles with high-Z targets through Monte-Carlo simulations.The interacting particles are taken from particle-in-cell simulations of theinteraction of a tightly-focused ultraintense laser pulse with a titaniumtarget. Lead is chosen as the secondary high-Z target owing to its high crosssection of the giant dipole resonance and electron-positron pair production.The results reveal an ultra-short ultra-relativistic collimated positronpopulation and their energy spectra, angular distribution, and temporal profileare found. We investigate the target thickness dependence of the resultingtotal numbers and total kinetic energies of various particle species emittedfrom the lead target irradiated with laser-generated $\gamma$-photons andcharged particles separately. We plot the charts of residual high-Z nuclidesgenerated by irradiation of the lead target. Owing to the short pulse duration,the $\gamma$-photon, electron-positron, and neutron sources can findapplications in material science, nuclear physics, laboratory astrophysics, andas injectors in laser-based accelerators of charged particles.

Electron-positron pairs and radioactive nuclei production by irradiation  of high-Z target with \gamma-photon flash generated by an ultra-intense laser  in the $\lambda^3$ regime