Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method
Abstract
Self-consistent approaches to superfluid many-fermion systems in three dimensions (and their subsequent use in time-dependent studies) require a large number of diagonalizations of very large dimension Hermitian matrices, which results in enormous computational costs. We present an approach based on the shifted conjugate-orthogonal conjugate-gradient (COCG) Krylov method for the evaluation of the Green's function, from which we subsequently extract various densities (particle number, spin, current, kinetic energy, anomalous, etc.) of a nuclear system. The approach eschews the determination of the quasiparticle wave functions and their corresponding quasiparticle energies, which never explicitly appear in the construction of a single-particle Hamiltonian or needed for the calculation of various static nuclear properties, which depend only on densities. As benchmarks this study presents calculations for nuclei with axial symmetry, including the ground state of spherical (magic or semimagic) and axially deformed nuclei, the saddle point in the $$^{240}Pu$$ constrained fission path, and a vortex in the neutron star crust, and demonstrate the superior efficiency of the shifted COCG Krylov method over traditional approaches.
- Authors:
-
- Univ. of Washington, Seattle, WA (United States). Dept. of Physics
- Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Warsaw Univ. of Technology (Poland). Faculty of Physics; Univ. of Washington, Seattle, WA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1544399
- Alternate Identifier(s):
- OSTI ID: 1349702
- Grant/Contract Number:
- FG02-97ER41014; AC05-00OR22725; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Jin, Shi, Bulgac, Aurel, Roche, Kenneth, and Wlazłowski, Gabriel. Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method. United States: N. p., 2017.
Web. doi:10.1103/PhysRevC.95.044302.
Jin, Shi, Bulgac, Aurel, Roche, Kenneth, & Wlazłowski, Gabriel. Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method. United States. https://doi.org/10.1103/PhysRevC.95.044302
Jin, Shi, Bulgac, Aurel, Roche, Kenneth, and Wlazłowski, Gabriel. Mon .
"Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method". United States. https://doi.org/10.1103/PhysRevC.95.044302. https://www.osti.gov/servlets/purl/1544399.
@article{osti_1544399,
title = {Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method},
author = {Jin, Shi and Bulgac, Aurel and Roche, Kenneth and Wlazłowski, Gabriel},
abstractNote = {Self-consistent approaches to superfluid many-fermion systems in three dimensions (and their subsequent use in time-dependent studies) require a large number of diagonalizations of very large dimension Hermitian matrices, which results in enormous computational costs. We present an approach based on the shifted conjugate-orthogonal conjugate-gradient (COCG) Krylov method for the evaluation of the Green's function, from which we subsequently extract various densities (particle number, spin, current, kinetic energy, anomalous, etc.) of a nuclear system. The approach eschews the determination of the quasiparticle wave functions and their corresponding quasiparticle energies, which never explicitly appear in the construction of a single-particle Hamiltonian or needed for the calculation of various static nuclear properties, which depend only on densities. As benchmarks this study presents calculations for nuclei with axial symmetry, including the ground state of spherical (magic or semimagic) and axially deformed nuclei, the saddle point in the $^{240}Pu$ constrained fission path, and a vortex in the neutron star crust, and demonstrate the superior efficiency of the shifted COCG Krylov method over traditional approaches.},
doi = {10.1103/PhysRevC.95.044302},
journal = {Physical Review C},
number = 4,
volume = 95,
place = {United States},
year = {Mon Apr 03 00:00:00 EDT 2017},
month = {Mon Apr 03 00:00:00 EDT 2017}
}
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Figures / Tables:
FIG. 1: The ellipse contour $C$ : $z$($φ$) in Eq. (50) adopted to perform the contour integral. The thick solid line represents the positive energy continuum quasiparticle states with $E$ > -$μ$ , while the crosses represent the positive energy discrete bound quasiparticle states 0 < $E$i < -$μ$ .more »
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Works referenced in this record:
Stochastic estimation of nuclear level density in the nuclear shell model: An application to parity-dependent level density in 58 Ni
journal, February 2016
- Shimizu, Noritaka; Utsuno, Yutaka; Futamura, Yasunori
- Physics Letters B, Vol. 753
Adaptive multi-resolution 3D Hartree-Fock-Bogoliubov solver for nuclear structure
journal, August 2014
- Pei, J. C.; Fann, G. I.; Harrison, R. J.
- Physical Review C, Vol. 90, Issue 2
BiCGStab(?) for Families of Shifted Linear Systems
journal, April 2003
- Frommer, A.
- Computing, Vol. 70, Issue 2
Energy Density Functional Approach to Superfluid Nuclei
journal, June 2003
- Yu, Yongle; Bulgac, Aurel
- Physical Review Letters, Vol. 90, Issue 22
Nuclear response in the continuum
journal, May 1975
- Shlomo, S.; Bertsch, G.
- Nuclear Physics A, Vol. 243, Issue 3
Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line
journal, June 1984
- Dobaczewski, J.; Flocard, H.; Treiner, J.
- Nuclear Physics A, Vol. 422, Issue 1
Axially symmetric Hartree-Fock-Bogoliubov calculations for nuclei near the drip lines
journal, June 2003
- Terán, E.; Oberacker, V. E.; Umar, A. S.
- Physical Review C, Vol. 67, Issue 6
Broyden's method in nuclear structure calculations
journal, July 2008
- Baran, Andrzej; Bulgac, Aurel; Forbes, Michael McNeil
- Physical Review C, Vol. 78, Issue 1
Fission fragment charge and mass distributions in in the adiabatic nuclear energy density functional theory
journal, May 2016
- Regnier, D.; Dubray, N.; Schunck, N.
- Physical Review C, Vol. 93, Issue 5
An Efficient MAINV Preconditioned COCG Method for FEM Analysis of Millimeter Wave Filters
journal, January 2011
- Li, Yue Hui; Nie, Zai Ping; Meng, Min
- Journal of Infrared, Millimeter, and Terahertz Waves, Vol. 32, Issue 2
Finite amplitude method applied to the giant dipole resonance in heavy rare-earth nuclei
journal, March 2016
- Oishi, Tomohiro; Kortelainen, Markus; Hinohara, Nobuo
- Physical Review C, Vol. 93, Issue 3
A parallel method for large sparse generalized eigenvalue problems using a GridRPC system
journal, June 2008
- Sakurai, Tetsuya; Kodaki, Yoshihisa; Tadano, Hiroto
- Future Generation Computer Systems, Vol. 24, Issue 6
Relativistic Coulomb Excitation within the Time Dependent Superfluid Local Density Approximation
journal, January 2015
- Stetcu, I.; Bertulani, C. A.; Bulgac, A.
- Physical Review Letters, Vol. 114, Issue 1
Finite amplitude method for the solution of the random-phase approximation
journal, August 2007
- Nakatsukasa, Takashi; Inakura, Tsunenori; Yabana, Kazuhiro
- Physical Review C, Vol. 76, Issue 2
Finite amplitude method in linear response TDDFT calculations
journal, September 2014
- Nakatsukasa, Takashi
- Journal of Physics: Conference Series, Vol. 533
Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity
journal, May 2009
- Wang, Yingxi; Du, Kui; Sun, Weiwei
- Numerical Linear Algebra with Applications, Vol. 16, Issue 5
Coordinate space Hartree-Fock-Bogoliubov calculations for the zirconium isotope chain up to the two-neutron drip line
journal, May 2005
- Blazkiewicz, A.; Oberacker, V. E.; Umar, A. S.
- Physical Review C, Vol. 71, Issue 5
Large-amplitude motion in superfluid fermi droplets
journal, January 1990
- Barranco, F.; Bertsch, G.; Broglia, R.
- Nuclear Physics A, Vol. 512, Issue 2
A projection method for generalized eigenvalue problems using numerical integration
journal, October 2003
- Sakurai, Tetsuya; Sugiura, Hiroshi
- Journal of Computational and Applied Mathematics, Vol. 159, Issue 1
Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code
journal, February 2015
- Ryssens, W.; Hellemans, V.; Bender, M.
- Computer Physics Communications, Vol. 187
Finite-amplitude method for charge-changing transitions in axially deformed nuclei
journal, August 2014
- Mustonen, M. T.; Shafer, T.; Zenginerler, Z.
- Physical Review C, Vol. 90, Issue 2
Hartree-Fock-Bogoliubov descriptions of deformed weakly bound nuclei in large coordinate spaces
journal, November 2013
- Zhang, Y. N.; Pei, J. C.; Xu, F. R.
- Physical Review C, Vol. 88, Issue 5
Microscopic calculation of scission with a finite-range effective force
journal, November 2009
- Younes, W.; Gogny, D.
- Physical Review C, Vol. 80, Issue 5
Augmented Lagrangian method for constrained nuclear density functional theory
journal, August 2010
- Staszczak, A.; Stoitsov, M.; Baran, A.
- The European Physical Journal A, Vol. 46, Issue 1
A Preconditioned COCG Method for Solving Complex Symmetric Linear Systems Arising from Scattering Problems
journal, January 2008
- Li, L.; Huang, T. -Z.; Ren, Z. -G.
- Journal of Electromagnetic Waves and Applications, Vol. 22, Issue 14-15
Hartree-Fock-Bogoliubov calculations in coordinate space: Neutron-rich sulfur, zirconium, cerium, and samarium isotopes
journal, December 2003
- Oberacker, V. E.; Umar, A. S.; Terán, E.
- Physical Review C, Vol. 68, Issue 6
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
journal, January 2012
- Schunck, N.; Dobaczewski, J.; McDonnell, J.
- Computer Physics Communications, Vol. 183, Issue 1
Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
journal, June 1996
- Dobaczewski, J.; Nazarewicz, W.; Werner, T. R.
- Physical Review C, Vol. 53, Issue 6
Application of the imaginary time step method to the solution of the static Hartree-Fock problem
journal, June 1980
- Davies, K. T. R.; Flocard, H.; Krieger, S.
- Nuclear Physics A, Vol. 342, Issue 1
Linear algebraic calculation of the Green’s function for large-scale electronic structure theory
journal, April 2006
- Takayama, R.; Hoshi, T.; Sogabe, T.
- Physical Review B, Vol. 73, Issue 16
The nuclear density of states in the space of nuclear shapes
journal, September 1980
- Bertsch, G.
- Physics Letters B, Vol. 95, Issue 2
Pairing renormalization and regularization within the local density approximation
journal, April 2006
- Borycki, P. J.; Dobaczewski, J.; Nazarewicz, W.
- Physical Review C, Vol. 73, Issue 4
Pulsar glitches and restlessness as a hard superfluidity phenomenon
journal, July 1975
- Anderson, P. W.; Itoh, N.
- Nature, Vol. 256, Issue 5512
Application of the gradient method to Hartree-Fock-Bogoliubov theory
journal, July 2011
- Robledo, L. M.; Bertsch, G. F.
- Physical Review C, Vol. 84, Issue 1
Vortex Pinning and Dynamics in the Neutron Star Crust
journal, November 2016
- Wlazłowski, Gabriel; Sekizawa, Kazuyuki; Magierski, Piotr
- Physical Review Letters, Vol. 117, Issue 23
Nuclear ground-state properties from mean-field calculations
journal, September 2002
- Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V.
- The European Physical Journal A, Vol. 15, Issue 1-2
Comment on “Spontaneous Fission: A Kinetic Approach”
journal, November 1997
- Bertsch, George F.; Bulgac, Aurel
- Physical Review Letters, Vol. 79, Issue 18
Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
journal, January 2002
- Bulgac, Aurel; Yu, Yongle
- Physical Review Letters, Vol. 88, Issue 4
Axially deformed solution of the Skyrme-Hartree–Fock–Bogoliubov equations using the transformed harmonic oscillator basis (II) hfbtho v2.00d: A new version of the program
journal, June 2013
- Stoitsov, M. V.; Schunck, N.; Kortelainen, M.
- Computer Physics Communications, Vol. 184, Issue 6
Description of induced nuclear fission with Skyrme energy functionals: Static potential energy surfaces and fission fragment properties
journal, November 2014
- Schunck, N.; Duke, D.; Carr, H.
- Physical Review C, Vol. 90, Issue 5
Gamow Shell Model Description of Neutron-Rich Nuclei
journal, July 2002
- Michel, N.; Nazarewicz, W.; Płoszajczak, M.
- Physical Review Letters, Vol. 89, Issue 4
Use of the discrete variable representation basis in nuclear physics
journal, May 2013
- Bulgac, Aurel; Forbes, Michael McNeil
- Physical Review C, Vol. 87, Issue 5
Odd-even mass differences from self-consistent mean field theory
journal, March 2009
- Bertsch, G. F.; Bertulani, C. A.; Nazarewicz, W.
- Physical Review C, Vol. 79, Issue 3
Finite amplitude method for the quasiparticle random-phase approximation
journal, July 2011
- Avogadro, Paolo; Nakatsukasa, Takashi
- Physical Review C, Vol. 84, Issue 1
Towards a universal nuclear density functional
journal, August 1998
- Fayans, S. A.
- Journal of Experimental and Theoretical Physics Letters, Vol. 68, Issue 3
Eigenvalue computation in the 20th century
journal, November 2000
- Golub, Gene H.; van der Vorst, Henk A.
- Journal of Computational and Applied Mathematics, Vol. 123, Issue 1-2
Quasi-Minimal Residual Variants of the COCG and COCR Methods for Complex Symmetric Linear Systems in Electromagnetic Simulations
journal, December 2014
- Gu, Xian-Ming; Huang, Ting-Zhu; Li, Liang
- IEEE Transactions on Microwave Theory and Techniques, Vol. 62, Issue 12
Filter diagonalization of shell-model calculations
journal, August 2010
- Mizusaki, Takahiro; Kaneko, Kazunari; Honma, Michio
- Physical Review C, Vol. 82, Issue 2
Numerical accuracy of mean-field calculations in coordinate space
journal, December 2015
- Ryssens, W.; Heenen, P. -H.; Bender, M.
- Physical Review C, Vol. 92, Issue 6
Shifted Conjugate-Orthogonal–Conjugate-Gradient Method and Its Application to Double Orbital Extended Hubbard Model
journal, November 2008
- Yamamoto, Susumu; Sogabe, Tomohiro; Hoshi, Takeo
- Journal of the Physical Society of Japan, Vol. 77, Issue 11
Self-consistent mean-field models for nuclear structure
journal, January 2003
- Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard
- Reviews of Modern Physics, Vol. 75, Issue 1
On the solution of the Hartree-Fock-Bogoliubov equations by the conjugate gradient method
journal, November 1995
- Egido, J. L.; Lessing, J.; Martin, V.
- Nuclear Physics A, Vol. 594, Issue 1
Deformed coordinate-space Hartree-Fock-Bogoliubov approach to weakly bound nuclei and large deformations
journal, December 2008
- Pei, J. C.; Stoitsov, M. V.; Fann, G. I.
- Physical Review C, Vol. 78, Issue 6
Nuclear isotope shifts within the local energy-density functional approach
journal, August 2000
- Fayans, S. A.; Tolokonnikov, S. V.; Trykov, E. L.
- Nuclear Physics A, Vol. 676, Issue 1-4
Skyrme interaction and nuclear matter constraints
journal, March 2012
- Dutra, M.; Lourenço, O.; Sá Martins, J. S.
- Physical Review C, Vol. 85, Issue 3
Induced Fission of within a Real-Time Microscopic Framework
journal, March 2016
- Bulgac, Aurel; Magierski, Piotr; Roche, Kenneth J.
- Physical Review Letters, Vol. 116, Issue 12
Isovector giant dipole resonance from the 3D time-dependent density functional theory for superfluid nuclei
journal, November 2011
- Stetcu, I.; Bulgac, A.; Magierski, P.
- Physical Review C, Vol. 84, Issue 5
A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998
- Chabanat, E.; Bonche, P.; Haensel, P.
- Nuclear Physics A, Vol. 635, Issue 1-2
A study of the nuclear response function
journal, May 1975
- Bertsch, G. F.; Tsai, S. F.
- Physics Reports, Vol. 18, Issue 2
A fast configuration space method for solving local Kohn–Sham equations
journal, September 2005
- Aichinger, M.; Krotscheck, E.
- Computational Materials Science, Vol. 34, Issue 2
A filter diagonalization for generalized eigenvalue problems based on the Sakurai–Sugiura projection method
journal, February 2010
- Ikegami, Tsutomu; Sakurai, Tetsuya; Nagashima, Umpei
- Journal of Computational and Applied Mathematics, Vol. 233, Issue 8
A Petrov-Galerkin type method for solving Axk=b, where A is symmetric complex
journal, March 1990
- van der Vorst, H. A.; Melissen, J. B. M.
- IEEE Transactions on Magnetics, Vol. 26, Issue 2
Coordinate-space solution of the Skyrme–Hartree–Fock– Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00)
journal, June 2005
- Bennaceur, K.; Dobaczewski, J.
- Computer Physics Communications, Vol. 168, Issue 2
Restarted GMRES for Shifted Linear Systems
journal, January 1998
- Frommer, Andreas; Glässner, Uwe
- SIAM Journal on Scientific Computing, Vol. 19, Issue 1
Low-energy collective modes of deformed superfluid nuclei within the finite-amplitude method
journal, June 2013
- Hinohara, Nobuo; Kortelainen, Markus; Nazarewicz, Witold
- Physical Review C, Vol. 87, Issue 6
Large-amplitude motion in superfluid fermi droplets
journal, January 1990
- Barranco, F.; Bertsch, G. F.; Broglia, R. A.
- Nuclear Physics A, Vol. 512, Issue 2
Eigenvalue computation in the 20th century
book, January 2001
- Golub, Gene H.; van der Vorst, Henk A.
- Numerical Analysis: Historical Developments in the 20th Century
Low-energy collective modes of deformed superfluid nuclei within the finite-amplitude method
text, January 2013
- Markus, Kortelainen,; Witold, Nazarewicz,; Nobuo, Hinohara,
- The University of North Carolina at Chapel Hill University Libraries
Nuclear ground-state properties from mean-field calculations
book, January 2003
- Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V.
- Exotic Nuclei and Atomic Masses
Finite-amplitude method for charge-changing transitions in axially deformed nuclei
text, January 2014
- T., Shafer,; J., Engel,; T., Mustonen, M.
- The University of North Carolina at Chapel Hill University Libraries
Axially deformed solution of the Skyrme-Hartree–Fock–Bogoliubov equations using the transformed harmonic oscillator basis (II) hfbtho v2.00d: A new version of the program
dataset, January 2019
- Stoitsov, M. V.
- Mendeley
Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code
dataset, January 2019
- Ryssens, W.
- Mendeley
Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
text, January 2008
- Pei, J. C.; Stoitsov, M. V.; Fann, G. I.
- arXiv
Augmented Lagrangian Method for Constrained Nuclear Density Functional Theory
text, January 2010
- Staszczak, A.; Stoitsov, M.; Baran, A.
- arXiv
Application of the gradient method to Hartree-Fock-Bogoliubov theory
text, January 2011
- Robledo, L. M.; Bertsch, G. F.
- arXiv
Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
text, January 2011
- Stetcu, I.; Bulgac, A.; Magierski, P.
- arXiv
Skyrme Interaction and Nuclear Matter Constraints
text, January 2012
- Dutra, M.; Lourenço, O.; Martins, J. S. Sá
- arXiv
Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
text, January 2012
- Stoitsov, M. V.; Schunck, N.; Kortelainen, M.
- arXiv
Low energy collective modes of deformed superfluid nuclei within the finite amplitude method
text, January 2013
- Hinohara, Nobuo; Kortelainen, Markus; Nazarewicz, Witold
- arXiv
Description of Induced Nuclear Fission with Skyrme Energy Functionals: I. Static Potential Energy Surfaces and Fission Fragment Properties
text, January 2013
- Schunck, N.; Duke, D.; Carr, H.
- arXiv
Finite Amplitude Method for Charge-Changing Transitions in Axially-Deformed Nuclei
text, January 2014
- Mustonen, M. T.; Shafer, T.; Zenginerler, Z.
- arXiv
Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
text, January 2014
- Ryssens, W.; Hellemans, V.; Bender, M.
- arXiv
Adaptive Multi-resolution 3D Hartree-Fock-Bogoliubov Solver for Nuclear Structure
text, January 2014
- Pei, Junchen; Fann, George; Harrison, Robert
- arXiv
Stochastic Estimation of Nuclear Level Density in the Nuclear Shell Model: An Application to Parity-Dependent Level Density in $^{58}$Ni
text, January 2015
- Shimizu, Noritaka; Utsuno, Yutaka; Futamura, Yasunori
- arXiv
Vortex pinning and dynamics in the neutron star crust
text, January 2016
- Wlazłowski, Gabriel; Sekizawa, Kazuyuki; Magierski, Piotr
- arXiv
Linear Algebraic Calculation of Green's function for Large-Scale Electronic Structure Theory
text, January 2005
- Takayama, R.; Hoshi, T.; Sogabe, T.
- arXiv
Gamow Shell Model Description of Neutron-Rich Nuclei
text, January 2002
- Michel, N.; Nazarewicz, W.; Ploszajczak, M.
- arXiv
Nuclear ground-state properties from mean-field calculations
text, January 2002
- Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V.
- arXiv
Axially symmetric Hartree-Fock-Bogoliubov Calculations for Nuclei Near the Drip-Lines
text, January 2002
- Teran, E.; Oberacker, V. E.; Umar, A. S.
- arXiv
Hartree-Fock-Bogoliubov Calculations in Coordinate Space: Neutron-Rich Sulfur, Zirconium, Cerium, and Samarium Isotopes
text, January 2003
- Oberacker, V. E.; Umar, A. S.; Teran, E.
- arXiv
Pairing renormalization and regularization within the local density approximation
text, January 2006
- Borycki, P. J.; Dobaczewski, J.; Nazarewicz, W.
- arXiv
Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
text, January 1995
- Dobaczewski, J.; Nazarewicz, W.; Werner, T. R.
- arXiv
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- Bulgac, Aurel; Forbes, Michael McNeil; Jin, Shi
- arXiv
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