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

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

Yu Zhang
(
- Liaoning Normal U.
)
,
Feng Pan
(
- Liaoning Normal U. and
- Louisiana State U.
)
,
Yu-Xin Liu
(
- Peking U., CAPT and
- Natl. Lab. Heavy Ion Accel., Lanzhou
)
,
Zhan-Feng Hou
(
- Peking U., CAPT
)
,
J.P. Draayer
(
- Louisiana State U.
)

Sep, 2010

5 pages

Published in:

Phys.Rev.C 82 (2010) 034327

DOI:

10.1103/PhysRevC.82.034327

View in:

Nuclear Science References

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Abstract: (APS)

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.

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