Density profiles near the nuclear surface of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Ti</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>44</mml:mn><mml:mo>,</mml:mo><mml:mn>52</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>: An indication of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math> clustering
W. Horiuchi, N. Itagaki
Abstract
We investigate the degree of $\ensuremath{\alpha}$ ($^{4}\mathrm{He}$ nucleus) clustering in the ground-state density profiles of $^{44}\mathrm{Ti}$ and $^{52}\mathrm{Ti}$. Two types of density distributions, shell- and cluster-model configurations, are generated fully microscopically with the antisymmetrized quasi-cluster model, which can describe both the $j\ensuremath{-}j$ coupling shell and $\ensuremath{\alpha}$-cluster configurations in a single scheme. Despite both the models reproducing measured charge radius data, we found that the $\ensuremath{\alpha}$ clustering significantly diffuses the density profiles near the nuclear surface compared to the ideal $j\ensuremath{-}j$ coupling shell-model configuration. The effect is most significant for $^{44}\mathrm{Ti}$, while it is less for $^{52}\mathrm{Ti}$ due to the occupation of the $0{f}_{7/2}$ orbits in the $^{48}\mathrm{Ca}$ core. This difference can be detected by measuring proton-nucleus elastic scattering or the total reaction cross section on a carbon target at intermediate energies.