Quick Search:
Prog. Theor. Phys. Vol. 127 No. 1 (2012) pp. 79-115
Efficient Method to Perform Quantum Number Projection and Configuration Mixing for Most General Mean-Field States
Shingo Tagami and
Yoshifumi R. Shimizu
Department of Physics, Kyushu University, Fukuoka 812-8581, Japan
(Received October 19, 2011)
Abstract:
Combining several techniques, we propose an efficient and
numerically reliable method to perform the quantum number projection
and configuration mixing for most general mean-field states,
i.e., the Hartree-Fock-Bogoliubov (HFB) type product states
without symmetry restrictions.
As for the example of calculations, we show the results of
the simultaneous parity, number and angular-momentum projection
from HFB type states generated from the cranked Woods-Saxon mean-field
with a very large basis that is composed of N max=20
spherical harmonic oscillator shells.
Subject Index :
210
URL :
http://ptp.ipap.jp/link?PTP/127/79/
DOI : 10.1143/PTP.127.79
References:
- P. Ring and P. Schuck, The nuclear many-body problem (Springer, New York, 1980).
- J.-P. Blaizot and G. Ripka, Quantum theory of finite systems (MIT press, Cambridge, Massachusetts, London, 1985).
-
M. Bender, P.-H. Heenen and P.-G. Reinhard, Rev. Mod. Phys. 75 (2003), 121[APS].
- S. Åberg, H. Flocard and W. Nazarewicz, Annu. Rev. Nucl. Part. Sci. 40 (1990), 439.
-
S. Frauendorf, Rev. Mod. Phys. 73 (2001), 463[APS].
-
W. Satula and R. Wyss, Rep. Prog. Phys. 68 (2005), 131[CrossRef].
- A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. II (Benjamin, New York, 1975).
- D. R. Bes and J. Kurchan, The treatment of collective coordinates in many-body systems, Lecure Notes in Phys., Vol. 34 (World Scientific, Singapore, 1990).
-
K. Hara and S. Iwasaki, Nucl. Phys. A 332 (1979), 61[CrossRef].
-
K. Hara, S. Iwasaki and K. Tanabe, Nucl. Phys. A 332 (1979), 69[CrossRef].
-
K. Hara and S. Iwasaki, Nucl. Phys. A 348 (1980), 200[CrossRef].
-
K. Hara, A. Hayashi and P. Ring, Nucl. Phys. A 385 (1982), 14[CrossRef].
- K. Hara and Y. Sun, Int. J. Mod. Phys. E 4 (1995), 637.
-
K. Enami, K. Tanabe and N. Yoshinaga, Phys. Rev. C 59 (1999), 135[APS].
-
K. W. Schmid and F. Grümmer, Rep. Prog. Phys. 50 (1987), 731[CrossRef].
- K. W. Schmid, Prog. Part. Nucl. Phys. 52 (2004), 565.
-
A. Valor, P.-H. Heenen and P. Bonche, Nucl. Phys. A 671 (2000), 145[CrossRef].
-
R. Rodriguez-Guzman, J. L. Egido and L. M. Robledo, Nucl. Phys. A 709 (2002), 201[CrossRef].
-
M. Bender and P.-H. Heenen, Phys. Rev. C 78 (2008), 024309[APS].
-
J. M. Yao, J. Meng, P. Ring and D. Pena Arteaga, Phys. Rev. C 79 (2009), 044312[APS].
-
J. M. Yao, J. Meng, P. Ring and D. Vretenar, Phys. Rev. C 81 (2010), 044311[APS].
-
T. R. Rogríguez and J. L. Egido, Phys. Rev. C 81 (2010), 064323[APS].
-
N. Onishi and S. Yoshida, Nucl. Phys. 80 (1966), 367[CrossRef].
- R. Balian and E. Brezin, Nuovo Cim. B 64 (1969), 37.
-
P. Bonche, J. Dobaczewski, H. Flocard, P.-H. Heenen and J. Meyer, Nucl. Phys. A 510 (1990), 466[CrossRef].
-
L. M. Robledo, Phys. Rev. C 50 (1994), 2874[APS].
-
L. M. Robledo, Phys. Rev. C 79 (2009), 021302[APS](R).
-
C. González-Ballestero, L. M. Robledo and G. F. Bertsch, Comput. Phys. Commun. 182 (2011), 2213[CrossRef].
-
N. Tajima, Phys. Rev. C 69 (2004), 034305[APS].
- L. M. Robledo, Int. J. Mod. Phys. E 16 (2007), 337.
-
J. Dobaczewski, M. V. Stoitsov, W. Nazarewicz and P.-G. Reinhard, Phys. Rev. C 76 (2007), 054315[APS].
-
M. Bender, T. Duguet and D. Lacroix, Phys. Rev. C 79 (2009), 044319[APS].
-
N. Tajima, Y. R. Shimizu and S. Takahara, Phys. Rev. C 82 (2010), 034316[APS].
-
S. Cwiok, J. Dudek, W. Nazarewicz, J. Skalski and T. Werner, Comput. Phys. Commun. 46 (1987), 379[CrossRef].
- R. Wyss, private communication (2005).
- T. Shoji and Y. R. Shimizu, Prog. Theor. Phys. 121 (2009), 319[PTP].
-
K. Minomo, T. Sumi, M. Kimura, K. Ogata, Y. R. Shimizu and M. Yahiro, Phys. Rev. C 84 (2011), 034602[APS].
-
P. A. Butler and W. Nazarewicz, Rev. Mod. Phys. 68 (1996), 349[APS].
Citing Article(s) :
-
Progress of Theoretical Physics Supplement No.196 (2012) pp. 334-339
:
-
Efficient Method for Quantum Number Projection and Its Application to Tetrahedral Nuclear States
-
Shingo Tagami, Yoshifumi R. Shimizu and Jerzy Dudek