It is known that the nucleus becomes superfluid state when nucleus receives the effects of pair correlation, and this effects is important for experimentally and theoretically understanding the properties of the nucleus. Due to the spontaneous symmetry breaking, the pairing correlation energy can be expressed by a Mexican hat potential, and the phase mode (a Nambu-Goldstone mode) and the...
We study proximity effect of neutron superfluid in the inner crust of neutron stars by solving the Hartree-Fock-Bogoliubov equation in a spherical Wigner-Seitz (WS) cell. Numerical analysis shows that the presence of nuclei affects the pair correlation of neutron superfluid in proximity region, which is characterized by the coherence length measured from the edge of the nuclei. We use the...
$\alpha$-cluster states above double shell closures are important examples of nuclear $\alpha$ clustering. They include $^8\text{Be}=\alpha+\alpha$, $^{20}\text{Ne}={}^{16}\text{O}+\alpha$, ${}^{44,52}\text{Ti}={}^{40,48}\text{Ca}+\alpha$, ${}^{104}\text{Te}={}^{100}\text{Sn}+\alpha$, ${}^{212}\text{Po}={}^{208}\text{Pb}+\alpha$, etc. Many theoretical and experimental efforts have been made to...
Even though the quantum computing with fault tolerance is still a rather distant target, we are now entering a significant new era in developing quantum technology. In this circumstance, Noisy Intermediate-Scale Quantum Computing (NISQ) is defined by Preskill in 2018[1]. NISQ algorithms try to avoid deep circuits and utilize quantum advantages, which are efficiently preparing quantum states....
Since the 1970s, the density functional theory (DFT) in both the non-relativistic and relativistic frameworks has achieved great successes in describing and understanding the ground-state and excited-state properties of thousands of nuclei in a microscopic and self-consistent way. However, the connection between these two frameworks remains unclear. The non-relativistic expansion is regarded...
It is known that the nuclear interaction is much stronger than the Coulomb interaction, and thus the main contribution to the nuclear properties comes from the nuclear interaction. Nevertheless, the contribution from the Coulomb interaction to the properties is also important, since the Coulomb interaction and the isospin symmetry breaking terms of the nuclear interaction are entangled to each...
Measurements made recently by the STAR collaboration show that the Lambda hyperons produced in relativistic heavy-ion collisions are subject to global spin polarization with respect to an axis coincident with the axis of rotation of the produced matter. Recently formulated formalism of relativistic hydrodynamics with spin, which is a generalization of the standard hydrodynamics, is a natural...
