- Access by Xinjiang University
Efficient calculation for the quasiparticle random-phase approximation matrix
Phys. Rev. C 87, 014331 – Published 22 January, 2013
DOI: https://doi.org/10.1103/PhysRevC.87.014331
Abstract
We present an efficient numerical technique to evaluate the matrix of the (quasiparticle-) random-phase approximation, using the finite-amplitude method (FAM). The method is tested in calculation of monopole excitations in Sn, compared with result obtained with the former iterative FAM. The neutron-pair-transfer modes are calculated with the present method and their character change in neutron-rich Pb isotopes is discussed. Computational aspects of different FAM approaches are also discussed for future applications to a large-scale computation.
Article Text
References (21)
- P. Ring and P. Schuck, The Nuclear Many-Body Problems (Springer-Verlag, New York, 1980).
- J.-P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT Press, Cambridge, 1986).
- T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007).
- P. Avogadro and T. Nakatsukasa, Phys. Rev. C 84, 014314 (2011).
- T. Inakura, T. Nakatsukasa, and K. Yabana, Phys. Rev. C 80, 044301 (2009).
- T. Inakura, T. Nakatsukasa, and K. Yabana, Phys. Rev. C 84, 021302 (2011).
- M. Stoitsov, M. Kortelainen, T. Nakatsukasa, C. Losa, and W. Nazarewicz, Phys. Rev. C 84, 041305 (2011).
- N. Hinohara, K. Sato, T. Nakatsukasa, M. Matsuo, and K. Matsuyanagi, Phys. Rev. C 82, 064313 (2010).
- K. Sato and N. Hinohara, Nucl. Phys. A 849, 53 (2011).
- N. Hinohara, K. Sato, K. Yoshida, T. Nakatsukasa, M. Matsuo, and K. Matsuyanagi, Phys. Rev. C 84, 061302 (2011).
- K. Yoshida and T. Nakatsukasa, Phys. Rev. C 83, 021304 (2011).
- K. Bennaceur and J. Dobaczewski, Comput. Phys. Commun. 168, 96 (2005).
- E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. D. Croz, A. Greenbaum, S. Hammarling, A. McKenney et al., LAPACK Users’ Guide (Society for Industrial and Applied Mathematics, Philadelphia, PA, 1999).
- Y. Saad, Iterative Methods for Sparse Linear Systems (Society for Industrial and Applied Mathematics, Philadelphia, PA, 2003).
- W. A. Lanford, Phys. Rev. C 16, 988 (1977).
- M. Takahashi, T. Murakami, S. Morita, H. Orihara, Y. Ishizaki, and H. Yamaguchi, Phys. Rev. C 27, 1454 (1983).
- J. Terasaki and J. Engel, Phys. Rev. C 82, 034326 (2010).
- A. Muta, J.-I. Iwata, Y. Hashimoto, and K. Yabana, Prog. Theor. Phys. 108, 1065 (2002).
- H. Imagawa and Y. Hashimoto, Phys. Rev. C 67, 037302 (2003).
- J. Toivanen, B. G. Carlsson, J. Dobaczewski, K. Mizuyama, R. R. Rodríguez-Guzmán, P. Toivanen, and P. Veselý, Phys. Rev. C 81, 034312 (2010).
- B. G. Carlsson, J. Toivanen, and A. Pastore, Phys. Rev. C 86, 014307 (2012).