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The proton-induced $alpha$ knockout reaction has been utilized for decades to investigate the $alpha$ cluster states of nuclei, of the ground state in particular. However, even in recent years, it is reported that the deduced $alpha$ spectroscopic factors from $alpha$ knockout experiments and reaction analyses with a phenomenological $alpha$ cluster wave function diverge depending on the kinematical condition of the reaction. In the present study we examine the theoretical description of the $^{20}$Ne($p$,$palpha$)$^{16}$O cross section based on the antisymmetrized molecular dynamics and the distorted wave impulse approximation by comparing with existing experimental data. We also investigate the correspondence between the $alpha$ cluster wave function and the $alpha$ knockout cross section. The existing $^{20}$Ne($p$,$palpha$)$^{16}$O data at 101.5 MeV is well reproduced by the present framework. Due to the peripherality of the reaction, the surface region of the cluster wave function is selectively reflected to the knockout cross section. A quantitatively reliable $alpha$ cluster wave function, $p$-$alpha$ cross section, and distorting potentials between scattering particles, $alpha$-$^{16}$O in particular, are crucial for the quantitative description of the ($p$,$palpha$) cross section. Due to the peripherality of the reaction, the ($p$,$palpha$) cross section is a good probe for the surface $alpha$ amplitude.
Direct evidence of the $alpha$-cluster manifestation in bound states has not been obtained yet, although a number of experimental studies were carried out to extract the information of the clustering. In particular in conventional analyses of $alpha$
Background The nuclear structure of the cluster bands in $^{20}$Ne presents a challenge for different theoretical approaches. It is especially difficult to explain the broad 0$^+$, 2$^+$ states at 9 MeV excitation energy. Simultaneously, it is impo
The formation of $alpha$ particle on nuclear surface has been a fundamental problem since the early age of nuclear physics. It strongly affects the $alpha$ decay lifetime of heavy and superheavy elements, level scheme of light nuclei, and the synthes
Collisions of light and heavy nuclei in relativistic heavy-ion collisions have been shown to be sensitive to nuclear structure. With a proposed $^{16}mathrm{O}^{16}mathrm{O}$ run at the LHC and RHIC we study the potential for finding $alpha$ clusteri
We study the relation between neutron removal cross section ($sigma_{-N}$) and neutron skin thickness for finite neutron rich nuclei using the statistical abrasion ablation (SAA) model. Different sizes of neutron skin are obtained by adjusting the di