\lambda}_{boost},
 \label{decompositionI}$$ with $$\begin{aligned}
 M^{\mu \nu \lambda}_{q-spin}
 &=& \frac{1}{2} \,\epsilon^{\mu \nu \lambda \sigma} \,\bar{\psi} 
 \,\gamma_{\sigma} \,\gamma_5 \,\psi , \label{decomposition1A} \\
 M^{\mu \nu \lambda}_{q-OAM}
 &=& \bar{\psi} \,\gamma^\mu \,(\,x^{\nu} \,i \,D^{\lambda} 
 \ - \ x^{\lambda} \,i \,D^{\nu} \,) \,\psi \label{decomposition1B} \\
 M^{\mu \nu \lambda}_{G-spin} 
 &=& 2 \,\mbox{Tr} \,[\, F^{\mu \lambda} \,A^{\nu}_{phys} 
 \ - \ F^{\mu \nu} \,A^{\lambda}_{phys} \,], \label{decomposition1C} \\
 M^{\mu \nu \lambda}_{G-OAM} 
 &=& - \,2 \,\mbox{Tr} \,[\, F^{\mu \alpha} \,
 (\,x^{\nu} \,D^{\lambda}_{pure}
 \ - \ x^{\lambda} \,D^{\nu}_{pure} \,) \,A_{\alpha}^{phys} \,],
 \nonumber \\
 &\,& + \, 2 \,\mbox{Tr} \,[\, (\,D_{\alpha} \,F^{\alpha \mu} \,)
 \,(\,x^{\nu} \,A^{\lambda}_{phys} \ - \ 
 x^{\lambda} \,A^{\nu}_{phys} \,) \,], \\
 M^{\mu \nu \lambda}_{boost} &=& M^{\prime \mu \nu \lambda} . 
 \label{decomposition1D}\end{aligned}$$ It differs from the decomposition (II) in the orbital parts. The quark OAM part contains [*full covariant derivative*]{} contrary to the decomposition (II). Correspondingly, the gluon OAM part is also different. It contains a covariant generalization of the potential angular momentum term.

It was sometimes criticized that there are so many decompositions of the nucleon spin. As already explained, we do not take this viewpoint. We claim that there are only two physically nonequivalent decompositions. (We shall develop an argument which gives a support to this viewpoint, in the 