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

The nonlocalized clustering approach is generalized to ${}^{8\text{â}\text{ˆ}\text{’}11}$Be isotopes with isospin dependent spin–orbit potential. A new form of the Tohsaki-Horiuchi-Schuck-Röpke (THSR) wave function is introduced to provide a correct description for the σ-binding neutron in ${}^{11}$Be. Systematic calculations for ${}^{8\text{â}\text{ˆ}\text{’}11}$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.