Analytical description of odd-A nuclei near the critical point of the spherical to axially deformed shape transition

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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.

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Physical Review C - Nuclear Physics

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