Tohsaki-Horiuchi-Schuck-Ropke Research Articles

Properties of $$^{8-11}$$Be isotopes with isospin-dependent spin–orbit potential in a cluster approach

The nonlocalized clustering approach is generalized to $$^{8-11}$$ Be isotopes with isospin dependent spin–orbit potential. A new form of the Tohsaki-Horiuchi-Schuck-Ropke (THSR) wave function is introduced to provide a correct description for the $$\sigma $$ -binding neutron in $$^{11}$$ Be. Systematic calculations for $$^{8-11}$$ Be isotopes are performed and results fit well with experimental values. The low energy spectrum of $$^{11}$$ Be is also obtained, especially the correct spin-parity $$1/2^{+}$$ is reproduced for the intruder ground state. The exotic neutron halo structure of $$^{11}$$ Be is studied by calculations of root-mean-square radii and density distribution. The spectroscopic factor is also calculated and discussed for the $$1/2^+$$ ground state of $${}^{11}$$ Be.

Alpha condensates and nonlocalized cluster structures

We discuss a container structure for non-gaslike cluster states, in which single Tohsaki-Horiuchi-Schuck-Ropke (THSR) wave functions are shown to be almost 100 % equivalent to the full solutions of the corresponding RGM/GCM equations, for the inversion doublet band states in 20 Ne, α -linear-chain states, and α +α +Λ cluster states in 9 Λ Be. The recognition of the fact that the THSR wave function describes well not only gaslike cluster states but also non-gaslike cluster states is a recent remarkable development of nuclear cluster physics. This fact tells us that the cluster structure is composed of cluster-mean-field motion under the constraint of inter-cluster Pauli repulsion, in which we call the cluster-mean-field potential the container.

One-dimensional α condensation of α-linear-chain states

We present a new picture that the α-linear-chain structure for 12C and 16O has one-dimensional α condensate character. The wave functions of linear-chain states which are described by superposing a large number of Brink wave functions have extremely large overlaps of nearly 100% with single Tohsaki-Horiuchi-Schuck-Ropke (THSR) wave functions, which were proposed to describe the α condensed "gas-like" states. Although this new picture is different from the conventional idea of the spatial localization of α clusters, the density distributions are shown to have localized a-clusters which is due to the inter-α Pauli repulsion.

Alpha condensates and nonlocalized cluster structures

We discuss a container structure for non-gaslike cluster states, in which single Tohsaki-Horiuchi-Schuck-ROpke (THSR) wave functions are shown to be almost 100% equivalent to the full solutions of the corresponding RGM/GCM equations, for the inversion doublet band states in 20Ne, α-linear-chain states, and α + α + A cluster states in 9ΛBe. The recognition of the fact that the THSR wave function describes well not only gaslike cluster states but also non-gaslike cluster states is a recent remarkable development of nuclear cluster physics. This fact tells us that the cluster structure is composed of cluster-mean-field motion under the constraint of inter-cluster Pauli repulsion, in which we call the cluster-mean-field potential the container. We demonstrate that the evolution of the cluster structure of a nucleus is governed by the size parameter of the cluster-mean-field potential (container), for 16O nucleus.

Resonance States and Alpha Condensation in 12C and 16O

Low density states near the 3α and 4α breakup thresholds in 12C and 16O, respectively, are discussed in terms of the α-particle condensation. Calculations are performed in Orthogonality Condition Model and Tohsaki–Horiuchi–Schuck–Ropke approaches. The \({0_2^+}\) state in 12C and the \({0_6^+}\) state in 16O are shown to have dilute density structures and give strong enhancement of the occupation of the S-state c.o.m. orbital of the α-particles. The possibility of the existence of α-particle condensed states in heavier nα nuclei is also discussed.

Alpha clustering and condensation in nuclei

Low density states near the 3α and 4α breakup thresholds in 12C and 16O, respectively, are discussed in terms of the α-particle condensation. Calculations are performed in OCM (Orthogonality Condition Model) and THSR (Tohsaki-Horiuchi-Schuck-Ropke) approaches. The 0+2 state in 12C and the 0+6 state in 16O are shown to have dilute density structures and give strong enhancement of the occupation of the S-state c.o.m. orbital of the α-particles. The possibility of the existence of α-particle condensed states in heavier nα nuclei is also discussed.