Fullpfshell study ofA=47andA=49nuclei

Complete diagonalizations in the $\mathrm{pf}$ major shell lead to very good agreement with the experimental data (level schemes, transitions rates, and static moments) for the $A=47\mathrm{}$ and $A=49\mathrm{}$ isotopes of Ca, Sc, Ti, V, Cr, and Mn. Gamow-Teller and $M1\mathrm{}$ strength functions are calculated. The necessary monopole modifications to the realistic interactions are shown to be critically tested by the spectroscopic factors for one particle transfer from ${}^{48}$Ca, reproduced in detail by the calculations. The collective behavior of ${}^{47}$Ti, and of the mirror pairs ${}^{47}$V-${}^{47}$Cr and ${}^{49}$Cr-${}^{49}$Mn is found to follow at low spins the particle plus rotor model. It is then analyzed in terms of the approximate quasi-SU(3) symmetry, for which some new results are given.