Relativistic Hartree-Fock model of nuclear single-particle resonances based on real stabilization method

• DOI: 10.7498/aps.73.20231632
• Publication Date: 2024-01-03T03:22:53Z
• Authors: Wei Yang; Shi-Yuan Ding; Bao-Yuan Sun
• Keywords: Particle (ecology)

With the development of radioactive ion beam devices along with associated nuclear experimental detection technologies, research areas in atomic nuclei have been further expanded, illustrating many new aspects excitation as well physics exotic far from <i>β</i>-stability line. For weakly bound nuclei, Fermi surface may lie near continuum, which facilitates easy scattering valence nucleons into continuum to occupy resonance state. These effects are crucial importance explaining unusual structure unstable nuclei. In this work, real stabilization method coordinate space, model for single-particle resonances is developed within framework relativistic Hartree-Fock (RHF) theory. order extract potential structures, we study evolution states box size continuum. To avoid instability binding energy, pairing correlations not taken account calculation. As an important motivation, roles Fock terms determining widths and spin-orbit splitting discussed low-lying neutron <inline-formula><tex-math id="M5">\begin{document}$^{120}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M5.jpg"/><graphic xlink:href="6-20231632_M5.png"/></alternatives></inline-formula>Sn. By comparing mean field (RMF) model, it found that inclusion exchange RHF changes in-medium balance interactions equilibrium dynamics, turn affects description effective potential. several id="M6">\begin{document}$^{120}$\end{document}</tex-math><alternatives><graphic xlink:href="6-20231632_M6.jpg"/><graphic xlink:href="6-20231632_M6.png"/></alternatives></inline-formula>Sn finite resonant width, predicts lower energy smaller than RMF. around threshold, featured signals can depend sensitively on interactions. addition, spin-partner id="M7">\begin{document}$\nu {\mathrm{i}}_{13/2}$\end{document}</tex-math><alternatives><graphic xlink:href="6-20231632_M7.jpg"/><graphic xlink:href="6-20231632_M7.png"/></alternatives></inline-formula> id="M8">\begin{document}$\nu {\mathrm{i}}_{11/2}$\end{document}</tex-math><alternatives><graphic xlink:href="6-20231632_M8.jpg"/><graphic xlink:href="6-20231632_M8.png"/></alternatives></inline-formula> states, effect their analyzed. comparison wave functions differ remarkably each other, changing energies correspondingly. Thus, additional components also contribute aside interaction. elucidate mechanism term physics, subsequent more numerical techniques recently will be incorporated methodology.