We determine both representations of the Fundamental Plane [ R _ { e } \propto \sigma _ { 0 } ^ { a } \langle I \rangle _ { e } ^ { - b } andR _ { e } % \propto ( \sigma _ { 0 } ^ { 2 } \langle I \rangle _ { e } ^ { -1 } ) ^ { \lambda } ] and the luminosity–effective phase space density ( L \propto f _ { e } ^ { - \gamma } ) scaling relation for N -body remnants of binary mergers of spiral-like galaxies .
The main set of merger simulations involves a mass-ratio of the progenitors in the range of about 1:1 to 1:5 , harboring or not a bulge-like component , and are constructed using a cosmological motivated model .
Equal-mass mergers are also considered .
Remnants lead to average values for the scaling indices of \langle a \rangle \approx 1.6 , \langle b \rangle \approx 0.6 , \langle \lambda \rangle \approx 0.7 , and \langle \gamma \rangle \approx 0.65 .
These values are consistent with those of K –band observations ( Mobasher et al .
1999 ) of ellipticals : \langle a \rangle \approx 1.5 , \langle b \rangle \approx 0.8 , \langle \lambda \rangle \approx 0.7 , and \langle \gamma \rangle \approx 0.60 .
The b index is , however , not well reproduced .
This study does not allow us to establish a conclusive preference for models with or without a bulge as progenitors .
Our results indicate that the L – f _ { e } and FP scalings might be determined to a large extent by dissipationless processes , a result that appears to be in contradiction to other dissipationless results .