Density Functional Methods In Physics pp 331-379 | Cite as
Semiclassical Description of Nuclear Bulk Properties
Chapter
Abstract
In these lectures we shall discuss the use of density functionals for calculating static nuclear bulk properties such as average binding energies, density distributions and their moments, and deformation energies.
Keywords
Shell Effect Skyrme Force Liquid Drop Model Fission Barrier Harmonic Oscillator Potential
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.C.F. v. Weizsäcker, Z. Phys. 96: 431 (1935)ADSMATHCrossRefGoogle Scholar
- 2.H.A. Bethe and F. Bacher, Rev. Mod. Phys. 8: 82 (1936)ADSCrossRefGoogle Scholar
- 3.T.H.R.Skyrme, Phil. Mag. 1: 1043 (1956);ADSMATHCrossRefGoogle Scholar
- T.H.R.Skyrme, Nucl. Phys. 9: 615 (1959)MATHCrossRefGoogle Scholar
- 4.R.A. Berg and L. Wilets, Phys. Rev. 101: 201 (1956);ADSMATHCrossRefGoogle Scholar
- L. Wilets, Rev. Mod. Phys. 30: 542 (1958)Google Scholar
- 5.K. Kumar and R.K. Bhaduri, Phys. Rev. 122: 1926 (1961)Google Scholar
- 6.K.A. Brückner, J.R. Buchler, S. Jorna and R.L. Lombard, Phys. Rev. 171: 1188 (1968);ADSCrossRefGoogle Scholar
- H.A. Bethe, Phys. Rev. 167: 879 (1973)ADSCrossRefGoogle Scholar
- 7.R.J. Lombard, Ann. of Phys. 77: 380 (1973)ADSCrossRefGoogle Scholar
- 8.J.P. Hohenberg and W. Kohn, Phys. Rev. 136: B 864 (1964)Google Scholar
- 9.G.E. Brown and A.D. Jackson, The Nucleon-Nucleon-Interaction (North-Holland/Amer. Elsevier, New York, 1976 )Google Scholar
- 10.K.A. Brückner, Phys. Rev. 97: 1353 (1955)Google Scholar
- 11.K.A. Brückner, J.L. Gammel and H. Weitzner, Phys. Rev. 110: 431 (1958)MathSciNetADSMATHCrossRefGoogle Scholar
- 12.H.A. Bethe, Ann. Rev. Nucl. Sci. 21: 93 (1972)Google Scholar
- 13.J.W. Negele, Phys. Rev. Cl: 1260 (1970);ADSGoogle Scholar
- J.W. Negele and D. Vautherin, Phys. Rev. C5: 1472 (1972);ADSGoogle Scholar
- J.W. Negele and D. Vautherin, Phys. Rev. C11: 1031 (1975)Google Scholar
- 14.C. Guet, H.-B. Hâkansson and M. Brack, Phys. Lett. 97 B: 7 (1980)Google Scholar
- 15.M. Brack, C. Guet and H.-B. Hâkansson, Regensburg Preprint TPR-83–16, submitted to Physics Reports Google Scholar
- 16.J. Bartel, P. Quentin, M. Brack, C. Guet and H.-B. Hâkansson, Nucl. Phys. A 386: 79 (1982)Google Scholar
- 17.O. Bohigas, A.M. Lane and J. Martorell, Phys. Reports 51: 267 (1979)ADSCrossRefGoogle Scholar
- 18.J.P. Blaizot, Phys. Reports 64: 171 (1980)Google Scholar
- 19.P. Quentin and H. Flocard, Ann.Rev.Nucl.Part.Sci. 28: 523 (1978)ADSCrossRefGoogle Scholar
- 20.D. Vautherin and D.M. Brink, Phys. Rev. C 5: 626 (1972)ADSCrossRefGoogle Scholar
- 21.V.M. Strutinsky, Nucl. Phys. A 95: 420 (1967);Google Scholar
- V.M. Strutinsky, Nucl. Phys. A 122: 1 (1968)ADSCrossRefGoogle Scholar
- 22.M. Brack, J. Damgârd, A.S. Jensen, H.C. Pauli, V.M. Strutinsky and C.Y. Wong, Rev. Mod. Phys. 44: 320 (1972)Google Scholar
- 23.M. Brack and P. Quentin, Nucl. Phys. A 361: 35 (1981)Google Scholar
- 24.E.P. Wigner, Phys. Rev. 40: 749 (1932);Google Scholar
- J. G. Kirkwood, Phys. Rev. 44: 31 (1933)ADSCrossRefGoogle Scholar
- 25.R.K. Bhaduri and C.K. Ross, Phys. Rev. Lett. 27: 606 (1971)Google Scholar
- 26.B.K. Jennings, Nucl. Phys. A 207: 538 (1973)CrossRefGoogle Scholar
- 27.B.K. Jennings, R.K. Bhaduri and M. Brack, Nucl. Phys. A 253: 29 (1975) and references quoted thereinGoogle Scholar
- 28.M. Brack and H.C. Pauli, Nucl. Phys. A 207: 401 (1973)ADSCrossRefGoogle Scholar
- 29.M. Brack, B.K. Jennings and Y.H. Chu, Phys. Lett. 65 B: 1 (1976)Google Scholar
- 30.B. Grammaticos and A. Voros, Ann. of Phys. 123: 359 (1979);MathSciNetADSCrossRefGoogle Scholar
- B. Grammaticos and A. Voros, Ann. of Phys. 129: 153 (1980)MathSciNetADSCrossRefGoogle Scholar
- 31.C. Guet and M. Brack, Z. Phys. A 297: 247 (1980)ADSCrossRefGoogle Scholar
- 32.D. Vautherin, Phys. Rev. C 7: 296 (1973)ADSGoogle Scholar
- 33.C. Titin-Schnaider and P. Quentin, Phys. Lett. 49 B: 397 (1974)Google Scholar
- 34.M.J. Giannoni and P. Quentin, Phys. Rev. C 21: 2076 (1980)Google Scholar
- 35.M. Beiner, H. Flocard, N.V. Giai and P. Quentin, Nucl. Phys. A 238: 29 (1975)ADSCrossRefGoogle Scholar
- 36.J. Treiner, H. Krivine, O. Bohigas and J. Martorell, Nucl. Phys. A 371: 253 (1981)Google Scholar
- 37.F. Tondeur, Phys. Lett. 123 B: 139 (1983);Google Scholar
- F. Tondeur, M. Brack, M. Farine and J.M. Pearson, Preprint 1983Google Scholar
- 38.W. Kohn and L.J. Sham, Phys. Rev. 137: A 1697 (1965);Google Scholar
- W. Kohn and L.J. Sham, Phys. Rev. 140: A 1133 (1965)Google Scholar
- 39.R. Balian and C. Bloch, Ann. of Phys. 69: 76 (1972) and earlier references quoted thereinGoogle Scholar
- 40.V.M. Strutinsky, A.G. Magner, S.R. Ofengenden and T. Dssing, Z. Phys. A 283: 269 (1977)ADSCrossRefGoogle Scholar
- 41.A.S. Tyapin. Soy. J. Nucl. Phys. 11: 401 (1970);Google Scholar
- A.S. Tyapin. Soy. J. Nucl. Phys. 14: 50 (1972)Google Scholar
- 42.G.E. Uhlenbeck and E. Beth, Physica 3: 729 (1936)CrossRefGoogle Scholar
- 43.B.K. Jennings, Ph. D. Thesis, McMaster University, 1976 (unpublished)Google Scholar
- 44.A. Voros, Thèse d’État, Paris University, Orsay, 1977 (unpublished)Google Scholar
- 45.N.L. Balazs and B.K. Jennings, preprint TRI-PP-83–55, 1983, to be published in Physics Reports Google Scholar
- 46.H. Krivine and J. Treiner, Phys. Lett. 88 B: 212 (1979)Google Scholar
- 47.X. Campi and S. Stringari, Nucl. Phys. A 337: 313 (1980)ADSCrossRefGoogle Scholar
- 48.J. Treiner and H. Krivine, Preprint Orsay IPNO/TH 82–18, 1982.Google Scholar
- 49.W. Stocker, G. Süssmann and S. Knaak, Nucl. Phys. A 187: 38 (1972)ADSCrossRefGoogle Scholar
- 50.O. Bohigas, X. Campi, H. Krivine and J. Treiner, Phys. Lett. 64 B: 381 (1979)Google Scholar
- 51.H. Krivine, J. Treiner and O. Bohigas, Nucl. Phys. A 366: 155 (1980)Google Scholar
- 52.E. Lieb, Rev. Mod. Phys. 53: 603 (1981)Google Scholar
- 53.V.M. Strutinsky and A.S. Tyapin. Soy. Phys. JETP 18: 664 (1964)Google Scholar
- 54.W.D. Myers and W.J. Swiatecki, Ann. of Phys. 55: 395 (1969);ADSCrossRefGoogle Scholar
- W.D. Myers and W.J. Swiatecki, Ann. of Phys. 84: 186 (1974)ADSCrossRefGoogle Scholar
- 55.Y.H. Chu, B.K. Jennings and M. Brack, Phys. Lett. 68B: 407 (1977);CrossRefGoogle Scholar
- Y.H. Chu, Ph.D. Thesis, Stony Brook 1977, unpubl.Google Scholar
- 56.C.M. Ko, H.C. Pauli, M. Brack and G.E. Brown, Nucl. Phys. A 236: 269 (1974)ADSCrossRefGoogle Scholar
- 57.M. Brack, Phys. Lett. 81 B: 239 (1977)Google Scholar
- 58.J.B. Bellicard et al., Saclay progress report CEA-N-2207: 81(1981)Google Scholar
- 59.S. Köhler, Nucl. Phys. A 258: 301 (1976)CrossRefGoogle Scholar
- 60.H. Flocard, P. Quentin, A.K. Kerman and D. Vautherin, Nucl. Phys. A 203: 433 (1973)Google Scholar
- 61.D. Gogny, Nucl. Phys. A 237: 399 (1975)MathSciNetADSCrossRefGoogle Scholar
- 62.M. Brack, in “Physics and Chemistry of Fission 1979”, Jülich (IAEA Vienna, 1980 ) Vol. I, p. 227Google Scholar
- 63.W.D. Myers and W.J. Swiatecki, Nucl. Phys. 81: 1 (1966)Google Scholar
- 64.M. Brack, C. Guet, H.-B. Hâkansson, A. Magner and V.M. Strutinsky, 4th Int. Conf. on nuclei far from stability, Helsingor 1981 (CERN 81–09, Geneva) p. 65Google Scholar
- 65.M. Farine, J. Cité and J.M. Pearson, Phys. Rev. C 24: 303 (1981), and earlier references thereinGoogle Scholar
- 66.M. Pearson, Nucl. Phys. A 376: 507 (1982)ADSGoogle Scholar
- 67.F. Tondeur, J.M. Pearson and M. Farine, Nucl. Phys. A 394: 462 (1983)Google Scholar
- 68.M. Brack and W. Stocker, Nucl. Phys. A 388: 230 (1982);Google Scholar
- M. Brack and W. Stocker, Nucl. Phys. A 406: 413 (1983)Google Scholar
- 69.F. Tondeur, Nucl. Phys. A 315: 353 (1978)ADSGoogle Scholar
- 70.R.K. Bhaduri, Phys. Rev. Lett. 39: 329 (1977)Google Scholar
- 71.M. Durand, M. Brack and P. Schuck, Z. Phys. A 286: 381 (1978);ADSCrossRefGoogle Scholar
- M. Durand, M. Brack and P. Schuck, Z. Phys. A 296: 87 (1980)ADSCrossRefGoogle Scholar
- 72.J. Bartel, M. Durand and M. Brack, Z. Phys. A 315: 341 (1984);ADSCrossRefGoogle Scholar
- 73.J. Bartel and M. Vallieres, Phys. Lett. 114 B: 303 (1982)Google Scholar
- 74.J. Bartel, PhD Thesis, University of Regensburg, 1984; and to be publishedGoogle Scholar
- 75.M. Lefort, Nucl. Phys. A 387: 3c (1982), and references quoted thereinADSCrossRefGoogle Scholar
- 76.see, e.g. J.M. Lattimer, Ann. Rev. Nucl. Part. Sci. 31: 337 (1981), and references quoted thereinGoogle Scholar
- 77.P. Bonche and D. Vautherin, Nucl. Phys. A 372: 496 (1981);Google Scholar
- P. Bonche and D. Vautherin, Astron. Astrophys. 112: 168 (1982)Google Scholar
- 78.see, e.g. J. Des Cloiseaux in “Many Body Physics”, Les Houches 1967 ( Gordon and Breach, New York, 1968 ) p. 1Google Scholar
- 79.M. Brack and P. Quentin, Phys. Lett. 52 B: 159 (1974);Google Scholar
- M. Brack and P. Quentin, Physica Scripta A 10: 163 (1974);CrossRefGoogle Scholar
- 80.U. Mosel, P. Zint and K.H. Passler, Nucl. Phys. A 236: 252 (1974)Google Scholar
- 81.G. Sauer, H. Chandra and U. Mosel, Nucl. Phys. A 264: 221 (1976)ADSCrossRefGoogle Scholar
- 82.M. Barranco and J.R. Buchler, Phys. Rev. C 22: 1729 (1980);ADSGoogle Scholar
- M. Barranco and J.R. Buchler, Phys. Rev. C 24: 1191 (1981);ADSGoogle Scholar
- D.Q. Lamb, J.M. Lattimer, C.J. Pethick and D.G. Ravenhall, Nucl. Phys. A 360: 459 (1981)Google Scholar
- 83.D.G. Ravenhall, C.J. Pethick and J.M. Lattimer, Nucl. Phys. A 407: 572 (1983)ADSGoogle Scholar
- 84.J. Bartel, M. Brack and C. Guet,Phys. Lett. B, in printGoogle Scholar
- 85.see, e.g., E.C. Stoner, Phil. Mag. 28: 257 (1939)Google Scholar
- 86.X. Campi and S. Stringari, Z. Phys. A 309: 239(1983)ADSCrossRefGoogle Scholar
- 87.M. Barranco, M. Pi and X. Vinas, Phys. Lett. 124 B: 131 (1983), and references quoted thereinGoogle Scholar
- 88.M. Barranco and J. Treiner, Nucl. Phys. A 351: 269 (1981)ADSCrossRefGoogle Scholar
- 89.J. Treiner, preprint Orsay IPNO/TH 83–26Google Scholar
- 90.W. Stocker and J. Burzlaff, Nucl. Phys. A 202: 265 (1973);ADSCrossRefGoogle Scholar
- R.W. Hasse and W. Stocker, Phys. Lett. 44 B: 26 (1973)ADSCrossRefGoogle Scholar
- 91.G. Holzwarth, these proceedingsGoogle Scholar
- 92.J. Treiner, these proceedingsGoogle Scholar
- 93.M. Brack, Workshop on semiclassical methods in nuclear physics, Grenoble, 1984, to be published in Journal de Physique (Paris).Google Scholar
Copyright information
© Plenum Press, New York 1985