Evolution of the "$\beta$ excitation" in axially symmetric transitional nuclei. Pietralla, N. & Gorbachenko, O. M. *Physical Review C - Nuclear Physics*, 2004. doi abstract bibtex The evolution of first excited 0+ states in transitional nuclei of the N≈90 region is correlated with the structure of the ground band. Iachello's X(5) solution for the Bohr-Hamiltonian for axially symmetric prolate nuclei is generalized to the transition path between X(5) and the rigid-rotor limit using infinite square-well potentials in the quadrupole deformation parameter $\beta$ with boundaries at $\beta$M >$\beta$m ≥0. Analytical solutions in terms of Bessel functions of first and second kind are derived and describe well the evolutionary trajectory of the studied 02+ states in this mass region.

@article{Pietralla2004,
abstract = {The evolution of first excited 0+ states in transitional nuclei of the N≈90 region is correlated with the structure of the ground band. Iachello's X(5) solution for the Bohr-Hamiltonian for axially symmetric prolate nuclei is generalized to the transition path between X(5) and the rigid-rotor limit using infinite square-well potentials in the quadrupole deformation parameter $\beta$ with boundaries at $\beta$M >$\beta$m ≥0. Analytical solutions in terms of Bessel functions of first and second kind are derived and describe well the evolutionary trajectory of the studied 02+ states in this mass region.},
author = {Pietralla, N. and Gorbachenko, O. M.},
doi = {10.1103/PhysRevC.70.011304},
issn = {05562813},
journal = {Physical Review C - Nuclear Physics},
number = {1},
title = {{Evolution of the "$\beta$ excitation" in axially symmetric transitional nuclei}},
volume = {70},
year = {2004}
}

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