The dependence of the de-acceleration on the inner radius (R_i) collapsing speeds (v_col). In the calculation, the inner radius reaches 0 at different times, hence the lifetime of SBs are different and overall contribution per SB is elevated. In the analysis we kept the rate of SB formation (f_b) as constant. The lines show different outer radius collapsing speeds, and some do not reach small values as the outer radius of SB would shrink below inner radius, which we consider physically inconsistent.