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We investigate the degree of $\alpha$ ($^4$He nucleus) clustering in theground-state density profiles of $^{44}$Ti and $^{52}$Ti. Two types of densitydistributions, shell- and cluster-model configurations, are generated fullymicroscopically with the antisymmetrized quasi-cluster model, which candescribe both the j-j coupling shell and $\alpha$-cluster configurations in asingle scheme. Despite both the models reproducing measured charge radius data,we found that the $\alpha$ clustering significantly diffuses the densityprofiles near the nuclear surface compared to the ideal j-j coupling shellmodel configuration. The effect is most significant for $^{44}$Ti, while it isless for $^{52}$Ti due to the occupation of the $0f_{7/2}$ orbits in the$^{48}$Ca core. This difference can be detected by measuring proton-nucleuselastic scattering or the total reaction cross section on a carbon target atintermediate energies.

Density profiles near nuclear surface of $^{44,52}$Ti: An indication of $\alpha$ clustering