The special nontopological scalar solitons in anti de Sitter spacetimes

In this letter the nontopological scalar solitons are investigated in an anti de Sitter spacetime. We find analytically that the solitons obeying the necessary conditions $m=\frac{2}{\sqrt{3}}\mathrm{\mid }\mathrm{\Lambda }{\mathrm{\mid }}^{1\mathrm{/}2}$ or $m=\sqrt{\frac{2(n+3)(2n+3)}{3}}\mathrm{\mid }\mathrm{\Lambda }{\mathrm{\mid }}^{1\mathrm{/}2}$ can exist in the background by means of the series expansion.