Abstract.
Influences of some important residual interactions considered in the shell model on nuclear dynamics and the shape phase evolution have been investigated in the SD-pair shell model for an identical nucleon system. The results indicate that the collective modes including the spherical vibration, prolate rotation, and X(5)-like critical dynamics are mainly driven by the competition between the monopole-pairing interaction and the quadrupole-quadrupole interaction, and the main features of the U(5)-SU(3) phase transition can be well reproduced within the SD-pair model. In addition, it is also shown that the quadrupole-pairing interaction cannot be ignored in reproducing an ideal rotational spectrum with a realistic single-particle configuration.
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References
A. Bohr, B.R. Mottelson, Nuclear structure, Vol. II, Nuclear deformations (World Scientific, 1975)
R.F. Casten, J. Jolie, J. Phys. G 34, R285 (2007)
P. Cejnar, J. Jolie, Prog. Part. Nucl. Phys. 62, 210 (2009)
P. Cejnar, J. Jolie, R.F. Casten, Rev. Mod. Phys. 82, 2155 (2010)
M.A. Caprio, P. Cejnar, F. Iachello, Ann. Phys. 323, 106 (2008)
F. Iachello, Phys. Rev. Lett. 85, 3580 (2000)
M.A. Caprio, F. Iachello, Nucl. Phys. A 781, 26 (2007)
F. Iachello, Phys. Rev. Lett. 87, 052502 (2001)
A. Bohr, Mat. Fys. Medd. K. Dan. Vidensk Selsk. 26, 1 (1952)
F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University, Cambridge, 1987)
T. Otsuka, A. Arima, F. Iachello, Nucl. Phys. A 309, 1 (1978)
T. Otsuka, A. Arima, F. Iachello, I. Talmi, Phys. Lett. B 76, 139 (1978)
F. Iachello, I. Talmi, Rev. Mod. Phys. 59, 339 (1987)
D.J. Rowe, C. Bahri, W. Wijesundera, Phys. Rev. Lett. 80, 4394 (1998)
N. Shimizu, T. Otsuka, T. Mizusaki, M. Honma, Phys. Rev. Lett. 86, 1171 (2001)
T. Otsuka, M. Honma, T. Mizusaki, N. Shimizu, Y. Utsuno, Prog. Part. Nucl. Phys. 47, 319 (2001)
N. Shimizu, T. Otsuka, T. Mizusaki, M. Honma, Phys. Rev. C 70, 054313 (2004)
K. Kaneko, M. Hasegawa, T. Mizusaki, Phys. Rev. C 70, 051301 (2004)
M. Hasegawa, K. Kaneko, T. Mizusaki, Y. Sun, Phys. Lett. B 656, 51 (2007)
J.N. Ginocchio, Phys. Rev. C 71, 064325 (2005)
N. Marginean, S. Lenzi, A. Gadea, E. Farnea, S. Freeman et al., Phys. Lett. B 633, 696 (2006)
Y. Sun, P.M. Walker, F.R. Xu, Y.X. Liu, Phys. Lett. B 659, 165 (2008)
Z.F. Hou, Y. Zhang, Y.X. Liu, Phys. Lett. B 688, 298 (2010)
D. Bonatsos, I.E. Assimakis, N. Minkov et al., Phys. Rev. C 95, 064326 (2017)
B. Li, F. Pan, J.P. Draayer, Phys. Rev. C 93, 044312 (2016)
T. Nikšić, D. Vretenar, G.A. Lalazissis, P. Ring, Phys. Rev. Lett. 99, 092502 (2007)
J. Meng, W. Zhang, S.G. Zhou et al., Eur. Phys. J. A 25, 23 (2005)
Z.P. Li, T. Nikšić, D. Vretenar, J. Meng, Phys. Rev. C 80, 061301(R) (2009)
F.J. Dyson, Phys. Rev. 102, 1217 (1956)
F.J. Dyson, Phys. Rev. 102, 1230 (1956)
J.Q. Chen, Nucl. Phys. A 626, 686 (1997)
J.Q. Chen, B.Q. Chen, A. Klein, Nucl. Phys. A 554, 61 (1993)
T. Kishimoto, T. Tamura, Nucl. Phys. A 192, 246 (1972)
Y.A. Luo, J.Q. Chen, Phys. Rev. C 58, 589 (1998)
Y.M. Zhao, N. Yoshinaga, S. Yamaji, J.Q. Chen, A. Arima, Phys. Rev. C 62, 014304 (2000)
Y.M. Zhao, N. Yoshinaga, S. Yamaji, A. Arima, Phys. Rev. C 62, 014316 (2000)
Y.M. Zhao, S. Pittel, R. Bijker, A. Frank, A. Arima, Phys. Rev. C 66, 041301 (2002)
F. Pan, J.P. Draayer, Y. Luo, Phys. Lett. B 576, 297 (2003)
D.J. Rowe, P.S. Turner, G. Rosensteel, Phys. Rev. Lett. 93, 232502 (2004)
F. Iachello, N.V. Zamfir, Phys. Rev. Lett. 92, 212501 (2004)
Y. Zhang, Z.F. Hou, Y.X. Liu, Phys. Rev. C 76, 011305 (2007)
D. Bonatsos, E.A. McCutchan, R.F. Casten, R.J. Casperson, Phys. Rev. Lett. 100, 142501 (2008)
H. Chen, J.R. Brownstein, D.J. Rowe, Phys. Rev. C 42, 1422 (1990)
X. Guan, K.D. Launey, J. Gu, F. Pan, J.P. Draayer, Phys. Rev. C 88, 044325 (2013)
D.D. Warner, R.F. Casten, Phys. Rev. C 28, 1798 (1983)
A. Sevrin, K. Heyde, J. Jolie, Phys. Rev. C 36, 2631 (1987)
P. von Brentano, A. Gelberg, Sharissopulos, R.F. Casten, Phys. Rev. C 38, 2386 (1988)
Y.A. Luo, J.Q. Chen, J.P. Draayer, Nucl. Phys. A 669, 101 (2000)
Y.A. Luo, F. Pan, C. Bahri, J.P. Draayer, Nucl. Phys. A 71, 044304 (2005)
Y.A. Luo, Y. Zhang, X.F. Meng, F. Pan, J.P. Draayer, Phys. Rev. C 80, 014311 (2009)
R. Budaca, P. Buganu, A.I. Budaca, Phys. Lett. B 776, 26 (2018)
A. Arima, F. Iachello, Phys. Rev. C 16, 2085 (1977)
R. Fossion, C.E. Alonso, J.M. Arias, L. Fortunato, A. Vitturi, Phys. Rev. C 76, 014316 (2007)
Y. Zhang, F. Iachello, Phys. Rev. C 95, 034306 (2017)
K. Nomura, Y. Zhang, Phys. Rev. C 99, 024324 (2019)
P. Van Isacker, J.Q. Chen, Phys. Rev. C 24, 684 (1981)
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He, BC., Zhang, SY., Zhang, Y. et al. Understanding nuclear dynamics in the SD-pair shell model: From pre-vibration to collective rotation. Eur. Phys. J. A 55, 143 (2019). https://doi.org/10.1140/epja/i2019-12835-x
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DOI: https://doi.org/10.1140/epja/i2019-12835-x