Possible Instability of the Ground State of Two-Flavour Colour Superconductor Induced by Colour Neutrality

The diquark condensate susceptibility in neutral colour superconductor at moderate baryon density is calculated in the frame of the two-flavour Nambu--Jona--Lasinio model with the mean field approximation. When colour chemical potential is introduced to keep charge neutrality, the diquark condensate susceptibility
is negative in the directions without diquark condensate in colour space, which may be regarded as a signal of the instability of the conventional ground state with only diquark condensate in the colour-3 direction.