Microscopic description of nuclear quantum phase transitions


G. A. Lalazissis
T. Niksic
D. Vretenar
P. Ring
Abstract

The relativistic mean-field framework, extended to include correlations related to restoration of broken symmetries and to fluctuations of the quadrupole deformation, is applied to a study of shape transitions in Nd isotopes. It is demonstrated that the microscopic self-consistent approach, based on global effective interactions, can describe not only general features of transitions between spherical and deformed nuclei, but also the singular properties of excitation spectra and transition rates at the critical point of quantum shape phase transition.

Article Details
  • Section
  • Oral contributions
References
F. Iachello, Phys. Rev. Lett. 85, 3580 (2000).
F. Iachello, Phys. Rev. Lett. 87, 052502 (2001).
R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 85, 3584 (2000).
R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 85, 052503 (2001 ).
P. Cejnar and J. Jolie, Phys. Rev. E 61, 6237 (2000).
J. Jolie, R. F. Casten, P. von Brentano, and V. Werner, Phys. Rev. Lett.
, 162501 (2001).
J. Jolie, P. Cejnar, R. F. Casten, S. Heinze, A. Linnemann, and V. Werner, Phys. Rev. Lett. 89, 182502 (2002).
J. Jolie and R. F. Casten, Nucl. Phys. News. 15, 20 (2005).
R. F. Casten, Nature Physics 2, 811 (2006).
M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys. 75, 121
(2003).
D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Phys. Rep.
, 101 (2005).
J. Meng, W. Zhang, S. G. Zhou, H. Toki, and L. S. Geng, Eur. Phys. J.
A 25, 23 (2005).
Z.-Q. Sheng and J.-Y. Guo, Mod. Phys. Lett. A 20, 2711 (2005).
R. Fossion, D. Bonatsos, and G. A. Lalazissis, Phys. Rev. C 73, 044310
(2006).
T. Niksic, D. Vretenar, and P. Ring, Phys. Rev. C 73, 034308 (2006).
T. Niksic, D. Vretenar, and P. Ring, Phys. Rev. C 74, 064309 (2006).
N. Pietralla and O. M. Gorbachenko, Phys. Rev. C 70, 011304(R) (2004).
R. Kruecken it et al, Phys. Rev. Lett. 88, 232501 (2002).
A. Leviatan, Phys. Rev. C 74, 051301(R) (2006).
D. Bonatsos, D. Lenis, D. Petrellis, P. A. Terziev, and I. Yigitoglu, Phys. Lett. B 632, 238 (2006).
T. Burvenich, D. G. Madland, J. A. Maruhn, and P.-G. Reinhard, Phys.
Rev. C 65, 044308 (2002).
M. R. Bhat, Nucl. Data Sheets 89, 797 (2000).
Agda Artna-Cohen, Nucl. Data Sheets 79, 1 (1996).