“…The basic idea of the model has been pioneered by Kuiper (1951), Urey (1966) and Cameron (1978). With the difficulties encountered with the core accretion models, this type of model, once in vogue and then quickly forgotten, has been revived and reformulated by several authors (e.g., Boss, 1997Boss, , 1998aBoley et al, 2010;Nayakshin, 2010;Cha and Nayakshin, 2011). But some investigations (e.g., Pickett et al, 2000;Cai et al, 2006a, b;Boley et al, 2007a, b) criticized the hypothesis and generally showed that disk instabilities are unable to lead to the formation of self-gravitating dense clumps that could form gas giant protoplanets, whereas Mayer et al (2002Mayer et al ( , 2004 has presented models that support the hypothesis towards the formation of long-lived giant gaseous protoplanets.…”