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