Analytical description of odd-A nuclei near the critical point of the spherical to axially deformed shape transition
A coupling scheme for even-even nuclei with the X(5) critical point symmetry coupled to a single valence nucleon in a j orbit is proposed to approximately describe the critical point phenomena of spherical to axially deformed shape (phase) transition in odd-A nuclear systems. The corresponding scheme, which can be solved analytically, is called the X(5/(2j+1)) model. A special case with j=1/2 is analyzed in detail to show its level structure and transition patterns. It is further shown that Au189 and Tb155 may be possible X(5/(2j+1)) symmetry candidates with j=1/2 and j=3/2, respectively. © 2010 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review C - Nuclear Physics
Zhang, Y., Pan, F., Liu, Y., Hou, Z., & Draayer, J. (2010). Analytical description of odd-A nuclei near the critical point of the spherical to axially deformed shape transition. Physical Review C - Nuclear Physics, 82 (3) https://doi.org/10.1103/PhysRevC.82.034327