  P-stars are a new class of compact stars made of up and down quarks in
$\beta$-equilibrium with electrons in a chromomagnetic condensate. P-stars are
able to account for compact stars with $R \lesssim 6 Km$, as well as stars
comparable to canonical neutron stars. We show that P-stars once formed are
absolutely stable, for they cannot decay into neutron or strange stars. We
convincingly argue that the nearest isolated compact stars RXJ1856.5-3754 and
RXJ0720.4-3125 could be interpreted as P-stars with $M \simeq 0.8 M_{\bigodot}$
and $R \simeq 5 Km$.
