If our Sun (mass = 1.99 x10^30 kg, radius = 6.96 x10^88 m) were to collapse into a neutron star (an object composed of tightly packed neutrons with roughly the same density as neutrons within a nucleus), what would the new radius of our "neutron-sun" be? (Assume that the density of a nucleus is 2.3 x 10 ^17 kg/m3.)