Renormalizability of the nuclear many-body problem with the Skyrme interaction beyond mean field

Yang, C. J.; Grasso, M.; Moghrabi, K.; van Kolck, U.

doi:10.1103/physrevc.95.054325

Renormalizability of the nuclear many-body problem with the Skyrme interaction beyond mean field

Journal Article · Mon May 01 04:00:00 EDT 2017 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.95.054325· OSTI ID:1536090

Yang, C. J. ^[1]; Grasso, M.; Moghrabi, K.; van Kolck, U.

DOE/OSTI

Not provided.

Research Organization:: Univ. of Arizona, Tucson, AZ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-04ER41338

OSTI ID:: 1536090

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 5 Vol. 95; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (53)

Subtraction method in the second random-phase approximation: First applications with a Skyrme energy functional Gambacurta, D.; Grasso, M.; Engel, J. Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034303	journal	September 2015
Particle-number restoration within the energy density functional formalism Bender, M.; Duguet, T.; Lacroix, D. Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044319	journal	April 2009
A theorem on the single particle energy in a Fermi gas with interaction Hugenholtz, N. M.; van Hove, L. Physica, Vol. 24, Issue 1-5 https://doi.org/10.1016/S0031-8914(58)95281-9	journal	January 1958
Second-order equation of state with the Skyrme interaction: Cutoff and dimensional regularization with the inclusion of rearrangement terms Yang, C. J.; Grasso, M.; Roca-Maza, X. Physical Review C, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevC.94.034311	journal	September 2016
Relativistic quasiparticle time blocking approximation: Dipole response of open-shell nuclei Litvinova, E.; Ring, P.; Tselyaev, V. Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014312	journal	July 2008
Nuclear Physics Around the Unitarity Limit König, Sebastian; Grießhammer, Harald W.; Hammer, H. -W. Physical Review Letters, Vol. 118, Issue 20 https://doi.org/10.1103/PhysRevLett.118.202501	journal	May 2017
The three-boson system with short-range interactions Bedaque, P. F.; Hammer, H. -W.; van Kolck, U. Nuclear Physics A, Vol. 646, Issue 4 https://doi.org/10.1016/S0375-9474(98)00650-2	journal	February 1999
Chiral Fermi liquid approach to neutron matter Holt, J. W.; Kaiser, N.; Weise, W. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014338	journal	January 2013
Quasiparticle time blocking approximation within the framework of generalized Green function formalism Tselyaev, V. I. Physical Review C, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevC.75.024306	journal	February 2007
Breaking and restoring symmetries within the nuclear energy density functional method Duguet, T.; Sadoudi, J. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6 https://doi.org/10.1088/0954-3899/37/6/064009	journal	March 2010
Effective field theory for halo nuclei: shallow -wave states Bertulani, C. A.; Hammer, H. -W.; van Kolck, U. Nuclear Physics A, Vol. 712, Issue 1-2 https://doi.org/10.1016/S0375-9474(02)01270-8	journal	December 2002
Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei Vautherin, D.; Brink, D. M. Physical Review C, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevC.5.626	journal	March 1972
Effects of collective modes on the single-particle states and the effective mass in 208Pb Bernard, Veronique; Van Giai, Nguyen Nuclear Physics A, Vol. 348, Issue 1 https://doi.org/10.1016/0375-9474(80)90546-1	journal	September 1980
Renormalization of one-pion exchange and power counting Nogga, A.; Timmermans, R. G. E.; Kolck, U. van Physical Review C, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevC.72.054006	journal	November 2005
Effective theory of the triton Bedaque, P. F.; Hammer, H. -W.; van Kolck, U. Nuclear Physics A, Vol. 676, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00205-0	journal	August 2000
Particle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices Duguet, T.; Bender, M.; Bennaceur, K. Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044320	journal	April 2009
Effective theory for low-energy nuclear energy density functionals Dobaczewski, J.; Bennaceur, K.; Raimondi, F. Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12 https://doi.org/10.1088/0954-3899/39/12/125103	journal	October 2012
Accuracy of BCS-based approximations for pairing in small Fermi systems Sandulescu, N.; Bertsch, G. F. Physical Review C, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevC.78.064318	journal	December 2008
Self-consistent mean-field models for nuclear structure Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard Reviews of Modern Physics, Vol. 75, Issue 1 https://doi.org/10.1103/RevModPhys.75.121	journal	January 2003
Nuclear-matter equation of state with consistent two- and three-body perturbative chiral interactions Coraggio, L.; Holt, J. W.; Itaco, N. Physical Review C, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevC.89.044321	journal	April 2014
Pairing correlations in an explicitly particle-number conserving approach Pillet, N.; Quentin, P.; Libert, J. Nuclear Physics A, Vol. 697, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)01240-4	journal	January 2002
Variational multiparticle-multihole configuration mixing method applied to pairing correlations in nuclei Pillet, N.; Berger, J. -F.; Caurier, E. Physical Review C, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevC.78.024305	journal	August 2008
Constraints on effective interactions imposed by antisymmetry and charge independence Stringari, S.; Brink, D. M. Nuclear Physics A, Vol. 304, Issue 2 https://doi.org/10.1016/0375-9474(78)90240-3	journal	July 1978
Skyrme interaction to second order in nuclear matter Kaiser, N. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 9 https://doi.org/10.1088/0954-3899/42/9/095111	journal	August 2015
Beyond Mean-Field Theories with Zero-Range Effective Interactions: A Way to Handle the Ultraviolet Divergence Moghrabi, K.; Grasso, M.; Colò, G. Physical Review Letters, Vol. 105, Issue 26 https://doi.org/10.1103/PhysRevLett.105.262501	journal	December 2010
Collective nuclear excitations with Skyrme-second random-phase approximation Gambacurta, D.; Grasso, M.; Catara, F. Physical Review C, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevC.81.054312	journal	May 2010
Particle number projection with effective forces Anguiano, M.; Egido, J. L.; Robledo, L. M. Nuclear Physics A, Vol. 696, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)01219-2	journal	December 2001
Quasiparticle time blocking approximation in coordinate space as a model for the damping of the giant dipole resonance Litvinova, E. V.; Tselyaev, V. I. Physical Review C, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevC.75.054318	journal	May 2007
Narrow resonances in effective field theory Bedaque, P. F.; Hammer, H. -W.; van Kolck, U. Physics Letters B, Vol. 569, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.07.049	journal	September 2003
Mode Coupling and the Pygmy Dipole Resonance in a Relativistic Two-Phonon Model Litvinova, Elena; Ring, Peter; Tselyaev, Victor Physical Review Letters, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevLett.105.022502	journal	July 2010
Particle-vibration coupling within covariant density functional theory Litvinova, E.; Ring, P.; Tselyaev, V. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.064308	journal	June 2007
Effect of particle-vibration coupling on single-particle states: A consistent study within the Skyrme framework Colò, Gianluca; Sagawa, Hiroyuki; Bortignon, Pier Francesco Physical Review C, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevC.82.064307	journal	December 2010
Misfits in Skyrme–Hartree–Fock Erler, J.; Klüpfel, P.; Reinhard, P-G Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6 https://doi.org/10.1088/0954-3899/37/6/064001	journal	March 2010
Self-consistent calculations of the strength function and radiative neutron capture cross section for stable and unstable tin isotopes Avdeenkov, A.; Goriely, S.; Kamerdzhiev, S. Physical Review C, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevC.83.064316	journal	June 2011
Subtraction method and stability condition in extended random-phase approximation theories Tselyaev, V. I. Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054301	journal	November 2013
Self-interaction errors in nuclear energy density functionals Chamel, N. Physical Review C, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevC.82.061307	journal	December 2010
Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels Lacroix, D.; Duguet, T.; Bender, M. Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044318	journal	April 2009
Number-conserving approach to the pairing problem: Application to Kr and Sn isotopic chains Hupin, Guillaume; Lacroix, Denis Physical Review C, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevC.86.024309	journal	August 2012
Renormalization of the Three-Body System with Short-Range Interactions Bedaque, P. F.; Hammer, H. -W.; van Kolck, U. Physical Review Letters, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevLett.82.463	journal	January 1999
E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS Bedaque, Paulo F.; van Kolck, Ubirajara Annual Review of Nuclear and Particle Science, Vol. 52, Issue 1 https://doi.org/10.1146/annurev.nucl.52.050102.090637	journal	December 2002
Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: From light to superheavy nuclei Litvinova, E. V.; Afanasjev, A. V. Physical Review C, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevC.84.014305	journal	July 2011
A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities Chabanat, E.; Bonche, P.; Haensel, P. Nuclear Physics A, Vol. 635, Issue 1-2 https://doi.org/10.1016/S0375-9474(98)00180-8	journal	May 1998
A Skyrme parametrization from subnuclear to neutron star densities Chabanat, E.; Bonche, P.; Haensel, P. Nuclear Physics A, Vol. 627, Issue 4 https://doi.org/10.1016/S0375-9474(97)00596-4	journal	December 1997
Description of the giant monopole resonance in the even- A Sn 112 − 124 isotopes within a microscopic model including quasiparticle-phonon coupling Tselyaev, V.; Speth, J.; Krewald, S. Physical Review C, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevC.79.034309	journal	March 2009
Towards a perturbative theory of nuclear forces Beane, S. R.; Bedaque, P. F.; Savage, M. J. Nuclear Physics A, Vol. 700, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)01324-0	journal	March 2002
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Erratum to "A Skyrme parametrization from subnuclear to neutron star densities. (II): Nuclei far from stabilities" No authors listed Nuclear Physics A, Vol. 643, Issue 4, p. 441 https://doi.org/10.1016/S0375-9474(98)00570-3	journal	December 1998
Fluctuating parts of nuclear ground-state correlation energies Carlsson, B. G.; Toivanen, J.; von Barth, U. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054303	journal	May 2013
Nuclear ground-state properties and self-consistent calculations with the skyrme interaction Beiner, M.; Flocard, H.; Van Giai, Nguyen Nuclear Physics A, Vol. 238, Issue 1 https://doi.org/10.1016/0375-9474(75)90338-3	journal	January 1975
Toward ab initio density functional theory for nuclei Drut, J. E.; Furnstahl, R. J.; Platter, L. Progress in Particle and Nuclear Physics, Vol. 64, Issue 1 https://doi.org/10.1016/j.ppnp.2009.09.001	journal	January 2010
Properties of the predicted superdeformed band in 32 S Rodríguez-Guzmán, R. R.; Egido, J. L.; Robledo, L. M. Physical Review C, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevC.62.054308	journal	October 2000
Second random-phase approximation with the Gogny force: First applications Gambacurta, D.; Grasso, M.; De Donno, V. Physical Review C, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevC.86.021304	journal	August 2012
Large-scale second random-phase approximation calculations with finite-range interactions Papakonstantinou, P.; Roth, R. Physical Review C, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevC.81.024317	journal	February 2010

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