Abstract.
The evolution of shape from the spherical to the axially deformed shapes in the Sm isotopes is investigated microscopically in relativistic mean-field theory. The microscopic and self-consistent quadrupole deformation constrained relativistic mean-field calculations show a clear shape change for the even-even Sm isotopes with N = 82-96. The potential surfaces for 148Sm, 150Sm and 152Sm are found to be relatively flat, which may be the possible critical-point nuclei. By examining the single-particle spectra and nearest-neighbor spacing distribution of the single-particle levels, one finds that the single-particle levels in 148Sm , 150Sm, and 152Sm distribute more uniformly.
Similar content being viewed by others
References
F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, England, 1987).
A.E.L. Dieperink, O. Scholten, F. Iachello, Phys. Rev. Lett. 44, 1747 (1980).
D.H. Feng, R. Gilmore, S.R. Deans, Phys. Rev. C 23, 1254 (1981).
F. Iachello, N.V. Zamfir, F. Iachello, Phys. Rev. Lett. 81, 1191 (1998).
F. Iachello, Phys. Rev. Lett. 87, 052502 (2001).
R.F. Casten, N.V. Zamfir, Phys. Rev. Lett. 87, 052503 (2001).
R. Krücken, Phys. Rev. Lett. 88, 232501 (2002).
M.A. Caprio, Phys. Rev. C 66, 054310 (2002).
P.G. Bizzeti, A.M. Bizzeti-Sona, Phys. Rev. C 66, 031301(R) (2002).
C. Hutter, Phys. Rev. C 67, 054315 (2003).
R.M. Clark, Phys. Rev. C 68, 037301 (2003).
R. Bijker, R.F. Casten, N.V. Zamfir, E.A. McCutchan, Phys. Rev. C 68, 064304 (2003).
C. Fransen, N. Pietralla, A. Linnemann, V. Werner, R. Bijker, Phys. Rev. C 69, 014313 (2004).
D. Tonev, A. Dewald, T. Klug, P. Petkov, J. Jolie, A. Fitzler, O. Moller, S. Heinze, P. von Brentano, R.F. Casten, Phys. Rev. C 69, 034334 (2004).
R. Bijker, R.F. Casten, N.V. Zamfir, E.A. McCutchan, Phys. Rev. C 69, 059901(E) (2004).
M.A. Caprio, Phys. Rev. C 69, 044307 (2004).
D. Bonatsos, D. Lenis, N. Minkov, D. Petrellis, P.P. Raychev, P.A. Terziev, Phys. Rev. C 70, 024305 (2004).
N. Pietralla, O.M. Gorbachenko, Phys. Rev. C 70, 011304(R) (2004).
P.G. Bizzeti, A.M. Bizzeti-Sona, Eur. Phys. J. A 20, 179 (2004)
A. Leviatan, J.N. Ginocchio, Phys. Rev. Lett. 90, 212501 (2003).
B. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986).
P. Ring, Prog. Part. Nucl. Phys. 37, 193 (1996).
J. Meng, P. Ring, Phys. Rev. Lett. 77, 3963 (1996).
J. Meng, Nucl. Phys. A 635, 3 (1998).
J. Meng, P. Ring, Phys. Rev. Lett. 80, 460 (1998).
J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997).
J. Meng, K. Sugawara-Tanabe, S. Yamaji, P. Ring, A. Arima, Phys. Rev. C 58, R628 (1998).
J. Meng, K. Sugawara-Tanabe, S. Yamaji, A. Arima, Phys. Rev. C 59, 154 (1999).
J.N. Ginocchio, Phys. Rep. 315, 231 (1999).
S.G. Zhou, J. Meng, P. Ring, Phys. Rev. Lett. 91, 262501 (2003).
Y. Gambhir, P. Ring, A. Thimet, Ann. Phys. (N.Y.) 198, 132 (1990).
S.G. Zhou, J. Meng, P. Ring, Phys. Rev. C 68, 034323 (2003).
P. Ring, P. Schuck, The Nuclear Many-Body Problem (Springer, 1980).
G. Audi, O. Bersillon, J. Blachot, Nucl. Phys. A 624, 1 (1997).
S. Raman, C.W. Nestor jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).
P.G. Reinhard, M. Rufa, J. Maruhn, W. Greiner, J. Friedrich, Z. Phys. A 323, 13 (1986).
M.M. Sharma, M.A. Nagarajan, P. Ring, Phys. Lett. B 312, 377 (1993).
Y. Sugahara, H. Toki, Nucl. Phys. A 579, 557 (1994).
G.A. Lalazissis, J. König, P. Ring, Phys. Rev. C 55, 540 (1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
G. Orlandini
Rights and permissions
About this article
Cite this article
Meng, J., Zhang, W., Zhou, S.G. et al. Shape evolution for Sm isotopes in relativistic mean-field theory. Eur. Phys. J. A 25, 23–27 (2005). https://doi.org/10.1140/epja/i2005-10066-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2005-10066-6