Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Hinohara, Nobuo; Nazarewicz, Witold

doi:10.1103/PhysRevLett.116.152502

Title: Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Journal Article · Mon Apr 11 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.116.152502· OSTI ID:1246764

Hinohara, Nobuo; Nazarewicz, Witold

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0013365; SC0008511

OSTI ID:: 1246764

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 116 Journal Issue: 15; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 21 works

Citation information provided by
Web of Science

References (53)

Nuclear Superfluidity Brink, David M.; Broglia, Ricardo A. https://doi.org/10.1017/CBO9780511534911	book	August 2009
Empirical proton-neutron interaction energies. Linearity and saturation phenomena Zhang, J. -Y.; Casten, R. F.; Brenner, D. S. Physics Letters B, Vol. 227, Issue 1 https://doi.org/10.1016/0370-2693(89)91273-2	journal	August 1989
Direct Empirical Correlation between Proton-Neutron Interaction Strengths and the Growth of Collectivity in Nuclei Cakirli, R. B.; Casten, R. F. Physical Review Letters, Vol. 96, Issue 13 https://doi.org/10.1103/PhysRevLett.96.132501	journal	April 2006
Empirical Proton-Neutron Interactions and Nuclear Density Functional Theory: Global, Regional, and Local Comparisons Stoitsov, M.; Cakirli, R. B.; Casten, R. F. Physical Review Letters, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevLett.98.132502	journal	March 2007
The RPA at high spin and conservation laws Marshalek, E. R. Nuclear Physics A, Vol. 275, Issue 2 https://doi.org/10.1016/0375-9474(77)90461-4	journal	January 1977
Field theories with « Superconductor » solutions Goldstone, J. Il Nuovo Cimento, Vol. 19, Issue 1 https://doi.org/10.1007/BF02812722	journal	January 1961
Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect? Satuła, W.; Dobaczewski, J.; Nazarewicz, W. Physical Review Letters, Vol. 81, Issue 17 https://doi.org/10.1103/PhysRevLett.81.3599	journal	October 1998
Error analysis in nuclear density functional theory Schunck, Nicolas; McDonnell, Jordan D.; Sarich, Jason Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034024	journal	February 2015
Lipkin method of particle-number restoration to higher orders Wang, X. B.; Dobaczewski, J.; Kortelainen, M. Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.014312	journal	July 2014
Nuclear energy density optimization: Shell structure Kortelainen, M.; McDonnell, J.; Nazarewicz, W. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054314	journal	May 2014
Collective inertia of the Nambu-Goldstone mode from linear response theory Hinohara, Nobuo Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034321	journal	September 2015
Concerning the calculation of the nuclear moment of inertia Beliaev, S. T. Nuclear Physics, Vol. 24, Issue 2 https://doi.org/10.1016/0029-5582(61)90384-4	journal	April 1961
Simple interpretation of proton-neutron interactions in rare earth nuclei Oktem, Y.; Cakirli, R. B.; Casten, R. F. Physical Review C, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevC.74.027304	journal	August 2006
Transition to deformed shapes as a nuclear Jahn-Teller effect Reinhard, P. -G.; Otten, E. W. Nuclear Physics A, Vol. 420, Issue 2 https://doi.org/10.1016/0375-9474(84)90437-8	journal	May 1984
Finite amplitude method for the solution of the random-phase approximation Nakatsukasa, Takashi; Inakura, Tsunenori; Yabana, Kazuhiro Physical Review C, Vol. 76, Issue 2 https://doi.org/10.1103/PhysRevC.76.024318	journal	August 2007
Complex-energy approach to sum rules within nuclear density functional theory Hinohara, Nobuo; Kortelainen, Markus; Nazarewicz, Witold Physical Review C, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevC.91.044323	journal	April 2015
What can be learned from binding energy differences about nuclear structure: The example of $δ V_{pn}$ Bender, M.; Heenen, P. -H. Physical Review C, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevC.83.064319	journal	June 2011
Time-odd components in the mean field of rotating superdeformed nuclei Dobaczewski, J.; Dudek, J. Physical Review C, Vol. 52, Issue 4 https://doi.org/10.1103/PhysRevC.52.1827	journal	October 1995
Erratum: Calculation of the Transition from Pairing Vibrational to Pairing Rotational Regimes between Magic Nuclei ${}^{100}{Sn}$ and ${}^{132}{Sn}$ via Two-Nucleon Transfer Reactions [Phys. Rev. Lett. 107 , 092501 (2011)] Potel, G.; Barranco, F.; Marini, F. Physical Review Letters, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRevLett.108.069904	journal	February 2012
Quantitative study of coherent pairing modes with two-neutron transfer: Sn isotopes Potel, G.; Idini, A.; Barranco, F. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054321	journal	May 2013
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force Bartel, J.; Quentin, P.; Brack, M. Nuclear Physics A, Vol. 386, Issue 1 https://doi.org/10.1016/0375-9474(82)90403-1	journal	September 1982
Recent trends in the determination of nuclear masses Lunney, D.; Pearson, J. M.; Thibault, C. Reviews of Modern Physics, Vol. 75, Issue 3 https://doi.org/10.1103/RevModPhys.75.1021	journal	August 2003
Emergent collectivity in nuclei and enhanced proton-neutron interactions Bonatsos, D.; Karampagia, S.; Cakirli, R. B. Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054309	journal	November 2013
Pairing vibrations Bès, D. R.; Broglia, R. A. Nuclear Physics, Vol. 80, Issue 2 https://doi.org/10.1016/0029-5582(66)90090-3	journal	May 1966
Quasi-Particles and Gauge Invariance in the Theory of Superconductivity Nambu, Yoichiro Physical Review, Vol. 117, Issue 3 https://doi.org/10.1103/PhysRev.117.648	journal	February 1960
Anomalous pairing vibration in neutron-rich Sn isotopes beyond the $N = 82$ magic number Shimoyama, Hirotaka; Matsuo, Masayuki Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044317	journal	October 2011
Nuclear energy density optimization: Large deformations Kortelainen, M.; McDonnell, J.; Nazarewicz, W. Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.024304	journal	February 2012
Energy-density-functional calculations including proton-neutron mixing Sato, Koichi; Dobaczewski, Jacek; Nakatsukasa, Takashi Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.061301	journal	December 2013
Local density approximation for proton-neutron pairing correlations: Formalism Perlińska, E.; Rohoziński, S. G.; Dobaczewski, J. Physical Review C, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevC.69.014316	journal	January 2004
Nuclear ground-state properties from mean-field calculations Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V. The European Physical Journal A, Vol. 15, Issue 1-2 https://doi.org/10.1140/epja/i2001-10218-8	journal	September 2002
Goldstone modes in the neutron star core Bedaque, Paulo F.; Reddy, Sanjay Physics Letters B, Vol. 735 https://doi.org/10.1016/j.physletb.2014.06.033	journal	July 2014
Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach Rohoziński, S. G.; Dobaczewski, J.; Nazarewicz, W. Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.014313	journal	January 2010
The Z = 82 shell closure in neutron-deficient Pb isotopes Bender, M.; Cornelius, T.; Lalazissis, G. A. The European Physical Journal A, Vol. 14, Issue 1 https://doi.org/10.1140/epja/iepja1320	journal	May 2002
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 Stoitsov, M. V.; Schunck, N.; Kortelainen, M. Computer Physics Communications, Vol. 184, Issue 6 https://doi.org/10.1016/j.cpc.2013.01.013	journal	June 2013
Random-Phase Approximation in the Theory of Superconductivity Anderson, P. W. Physical Review, Vol. 112, Issue 6 https://doi.org/10.1103/PhysRev.112.1900	journal	December 1958
The Anderson–Goldstone–Nambu mode in finite and in infinite systems Broglia, R. A.; Terasaki, J.; Giovanardi, N. Physics Reports, Vol. 335, Issue 1 https://doi.org/10.1016/S0370-1573(00)00046-6	journal	August 2000
Isospin Structure of Pairing Collective Motion Bayman, B. F.; Bes, D. R.; Broglia, R. A. Physical Review Letters, Vol. 23, Issue 22 https://doi.org/10.1103/PhysRevLett.23.1299	journal	December 1969
Microscopic origin of nuclear deformations Nazarewicz, W. Nuclear Physics A, Vol. 574, Issue 1-2 https://doi.org/10.1016/0375-9474(94)90037-X	journal	July 1994
On the use of a variable moment of pairing Krappe, H. J. Zeitschrift f�r Physik A: Atoms and Nuclei, Vol. 275, Issue 3 https://doi.org/10.1007/BF01409299	journal	September 1975
Nuclear energy density optimization Kortelainen, M.; Lesinski, T.; Moré, J. Physical Review C, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevC.82.024313	journal	August 2010
Time-dependent Hartree-Fock equations and rotational states of nuclei Thouless, D. J.; Valatin, J. G. Nuclear Physics, Vol. 31 https://doi.org/10.1016/0029-5582(62)90741-1	journal	March 1962
Double binding energy differences: Mean-field or pairing effect? Qi, Chong Physics Letters B, Vol. 717, Issue 4-5 https://doi.org/10.1016/j.physletb.2012.10.011	journal	October 2012
One-quasiparticle states in the nuclear energy density functional theory Schunck, N.; Dobaczewski, J.; McDonnell, J. Physical Review C, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevC.81.024316	journal	February 2010
Spontaneous symmetry breaking in rotating nuclei Frauendorf, Stefan Reviews of Modern Physics, Vol. 73, Issue 2 https://doi.org/10.1103/RevModPhys.73.463	journal	June 2001
Global description of $β^{-}$ decay in even-even nuclei with the axially-deformed Skyrme finite-amplitude method Mustonen, M. T.; Engel, J. Physical Review C, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevC.93.014304	journal	January 2016
Calculation of the Transition from Pairing Vibrational to Pairing Rotational Regimes between Magic Nuclei ${}^{100}{Sn}$ and ${}^{132}{Sn}$ via Two-Nucleon Transfer Reactions Potel, G.; Barranco, F.; Marini, F. Physical Review Letters, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevLett.107.092501	journal	August 2011
The Ame2012 atomic mass evaluation Audi, G.; Wang, M.; Wapstra, A. H. Chinese Physics C, Vol. 36, Issue 12 https://doi.org/10.1088/1674-1137/36/12/002	journal	December 2012
Pairing rotations and separation energies Beck, Rainer; Kleber, Manfred; Schmidt, Hartwig Zeitschrift für Physik A Hadrons and nuclei, Vol. 250, Issue 2 https://doi.org/10.1007/BF01386946	journal	April 1972
The reactions 116, 118Sn(t, p)118, 120Sn Bjerregaard, J. H.; Hansen, O.; Nathan, O. Nuclear Physics A, Vol. 110, Issue 1 https://doi.org/10.1016/0375-9474(68)90678-7	journal	March 1968
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
Pairing correlations of nucleons and multi-nucleon transfer between heavy nuclei Oertzen, W. von; Vitturi, A. Reports on Progress in Physics, Vol. 64, Issue 10 https://doi.org/10.1088/0034-4885/64/10/202	journal	September 2001
Critical-Point Description of the Transition from Vibrational to Rotational Regimes in the Pairing Phase Clark, R. M.; Macchiavelli, A. O.; Fortunato, L. Physical Review Letters, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevLett.96.032501	journal	January 2006
Monopole strength function of deformed superfluid nuclei Stoitsov, M.; Kortelainen, M.; Nakatsukasa, T. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.041305	journal	October 2011

Similar Records

Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Journal Article · Fri Apr 01 00:00:00 EDT 2016 · Physical Review Letters · OSTI ID:1246764

Hinohara, Nobuo; Nazarewicz, Witold

Central depression in nucleonic densities: Trend analysis in the nuclear density functional theory approach

Journal Article · Fri Aug 11 00:00:00 EDT 2017 · Physical Review C · OSTI ID:1246764

Schuetrumpf, B.; Nazarewicz, W.; Reinhard, P. -G.

Central depression in nucleonic densities: Trend analysis in the nuclear density functional theory approach

Journal Article · Tue Aug 01 00:00:00 EDT 2017 · Physical Review C · OSTI ID:1246764

Schuetrumpf, B.; Nazarewicz, W.; Reinhard, P. -G.

Title: Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Citation Formats

References (53)

Similar Records

Related Subjects