Energy deposition of heavy-ion beams in neutronless fusion reaction

Recent advances in laser-plasma accelerators have made possible the production of high-power beams with very low divergence. In this paper, the carbon heavy-ion beam was used to provide optimal conditions for the ignition of P–11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{\mathrm {11}}$$\end{document}B clean fuel pellets using the Deira-4 simulation code. The calculations showed that generating maximum ion heating of about 140 keV requires a laser with an intensity of 1021W/cm2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$10^{\mathrm {21}}\,\hbox {W}/\hbox {cm}^{\mathrm {2}}$$\end{document} and a radiation time of 20 ps, which provide medium heating conditions for ignition.