Translationally Invariant Local One-Body Densities for $^6$He*

Applications of No-Core-Shell-Model (NCSM) densities in reaction calculations require that they are translationally invariant. In order to obtain translationally invariant local one-body densities for $^6$He we first reconstruct them in a space-fixed, coordinate-space frame from the output of NCSM calculation. Then the center-of-mass contribution is removed exactly in momentum-space. Space-fixed and translationally invariant densities are compared. RMS radii are computed from the translationally invariant local densities.