Explicit inclusion of the spin-orbit contribution in the Tohsaki-Horiuchi-Schuck-Röpke wave function
Year: 2018
Type: article
Abstract: The Tohsaki-Horiuchi-Schuck-R\"opke (THSR) wave function has been successfully used for the studies of gaslike nature of $\ensuremath{\alpha}$ clusters in various nuclei, including the so-called Hoyle state of $^{12}\mathrm{C}$ and four $\ensuremath{\alpha}$ states of $^{16}\mathrm{O}$. In standard $\ensuremath{\alpha}$ cluster models, however, each $\ensuremath{\alpha}$ cluster wave function has spin zero because of its spatial symmetry and antisymmetrization effect. Thus the noncentral interactions do not contribute, and this situation is the same in the THSR wave function. In this work, the spin-orbit contribution, which is found to be quite important at short $\ensuremath{\alpha}\ensuremath{-}\ensuremath{\alpha}$ distances, is taken into account in the THSR wave function by combing it with antisymmetrized quasicluster model (AQCM). The application to $^{12}\mathrm{C}$ is presented. The multi-integration in the original THSR wave function is carried out by using a Monte Carlo technique, which is called the Monte Carlo THSR wave function. For the nucleon-nucleon interaction, the Tohsaki interaction, which contains finite-range three-body terms and simultaneously reproduces the saturation properties of nuclear systems, the $\ensuremath{\alpha}\ensuremath{-}\ensuremath{\alpha}$ scattering phase shift, and the size and binding energy of $^{4}\mathrm{He}$, is adopted.
Source: Physical Review C
Authors: N. Itagaki, H. Matsuno, A. Tohsaki
Institutions: Kyoto University, Yukawa Institute for Theoretical Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2807295910