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The evolution of the traditional nuclear magic numbers away from the valleyof stability is an active field of research. Experimental efforts focus onproviding key spectroscopic information that will shed light into the structureof exotic nuclei and understanding the driving mechanism behind the shellevolution. In this work, we investigate the Z = 6 spin-orbit shell gap towardsthe neutron dripline. To do so, we employed $^{A}$N(p,2p)$^{A-1}$C quasi-freescattering reactions to measure the proton component of the 2$^+_1$ state of$^{16,18,20}$C. The experimental findings support the notion of a moderatereduction of the proton 1p$_{1/2}$-1p$_{3/2}$ spin-orbit splitting, at varianceto recent claims for a prevalent Z = 6 magic number towards the neutrondripline.

Probing the Z = 6 spin-orbit shell gap with (p,2p) quasi-free scattering reactions