Abstract
By combining the sum-rule approximation to nuclear giant resonances with a generator-coordinate description of the collective ground-state we obtain a simple estimate of the collective ground-state correlations. We investigate the approach for a variety of nuclei and forces. The correlation effects are small but not negligible in view of the precision achieved in modern Skyrme-Hartree-Fock calculations.
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Vautherin, D., Brink, D.M.: Phys. Rev. C5, 626 (1972)
Negele, J.W., Vautherin, D.: Phys. Rev. C5, 1472 (1972)
Kolb, D., Cusson, R.Y., Harvey, M.: Nucl. Phys. A215, 1 (1973)
Decharge, J., Gogny, D.: Phys. Rev. C21, 1568 (1980)
Beiner, M., Flocard, M., Van Giai, N., Quentin, P.: Nucl. Phys. A238, 28 (1975)
Krieger, S.J.: TDHF and Beyond. Proceedings of the International Conference Held in Bad Honnef, 1982. In: Lecture Notes in Physics. Goeke, K., Reinhard, P.G. (eds.), Vol. 171. Berlin, Heidelberg, New York: Springer 1982
Negele, J.W.: Rev. Mod. Phys.54, 913 (1982)
Bertsch, G.F., Tsai, S.F.: Phys. Rep.18C, 126 (1975)
Liu, K.F., Van Giai, N.: Phys. Lett.65B, 385 (1976)
Krewald, S., Klemt, V., Speth, J., Faessler, A.: Nucl. Phys. A281, 166 (1977)
Brink, D.M., Leonardi, R.: Nucl. Phys. A258, 285 (1976)
Stringari, S., Lipparini, E., Orlandini, G., Traini, M., Leonardi, R.: Nucl. Phys. A309, 177 (1978)
Bohigas, O., Lane, A.M., Martorell, J.: Phys. Rep.51, 267 (1979)
Bertsch, G., Stricker, K.: Phys. Rev. C13, 1312 (1976)
Holzwarth, G., Eckert, G.: Z. Phys. A — Atoms and Nuclei284, 291 (1978)
Krivine, H., Treiner, J., Bohigas, O.: Nucl. Phys. A336, 155 (1980)
Treiner, J., Krivine, H., Bohigas, O., Martorell, J.: Nucl. Phys. A371, 253 (1981)
Bartel, J., Quantin, P., Brack, M., Guet, C., Håkanson, H.-B.: Nucl. Phys. A386, 79 (1982)
Köhler, H.S.: Nucl. Phys. A258, 301 (1976)
Brown, G.E., Jacob, G.: Nucl. Phys.42, 177 (1963)
Parikh, J.G., Rowe, D.J.: Phys. Rev.175, 1293 (1968)
Boussy, A., Vinh Mau, N.: Nucl. Phys. A229, 1 (1974)
Reinhard, P.-G., Drechsel, D.: Z. Phys. A — Atoms and Nuclei290, 85 (1979)
Gogny, D.: Nuclear physics with electromagnetic interactions. In: Lecture Notes in Physics. Arenhövel, H., Vol.108, p. 88. Berlin, Heidelberg, New York: Springer-Verlag 1979
Girod, M., Reinhard, P.-G.: Nucl. Phys. A384, 179 (1982)
Esbensen, M., Bertsch, G.F.: Phys. Rev. C28, 355 (1983)
Reinhard, P.-G., Cusson, R.Y., Goeke, K.: Nucl. Phys. A398, 14 (1983)
Pfeiffer, H., Reinhard, P.-G., Drechsel, D.: Z. Phys. A — Atoms and Nuclei292, 375 (1979)
Ring, P., Schuck, P.: The nuclear many-body problem. In: Textsand Monographs in Physics. Berlin, Heidelberg, New York: Springer-Verlag 1980
Goeke, K., Speth, J.: Annu. Rev. Nucl. Part. Sci.32, 65 (1982)
Berman, B.L., Fultz, S.C.: Rev. Mod. Phys.47, 713 (1975)
Reinhard, P.-G., Goeke, K., Cusson, R.Y.: Z. Phys. A — Atoms and Nuclei295, 35 (1980)
Goeke, K., Reinhard, P.-G.: Ann. Phys.124, 249 (1980)
Reinhard, P.-G., Goeke, K.: Nucl. Phys. A312, 121 (1978)
Brown, G.E.: Unified theory of nuclear models. Amsterdam: North Holland 1964
Friedrich, J., Reinhard, P.-G.: Preprint, Mainz 1984
Engel, Y.M., Brink, D.M., Goeke, K., Krieger, S.J., Vautherin, D.: Nucl. Phys. A249, 215 (1975)
Simon, G.G., Schmitt, Ch., Borkowski, F., Walther, V.H.: Nucl. Phys. A333, 381 (1980)
Simon, G.G., Schmitt, Ch., Walther, V.H.: Nucl. Phys. A364, 285 (1981)
Bertozzi, Friar, J., Heisenberg, J., Negele, J.W.: Phys. Lett.41B, 408 (1972)
Friedrich, J., Voegler, N.: Nucl. Phys. A373, 192 (1982)
Friedrich, J., Reinhard, P.-G., Voegler, N.: Z. Phys. A — Atoms and Nuclei316, 207 (1984)
Wohlfahrt, H.-D., Schwentker, O., Fricke, G., Andresen, H.G., Shera, E.B.: Phys. Rev. C22, 264 (1980)
Bonn, J., Huber, G., Kluge, H.-J., Otten, E.W.: Z. Phys. A — Atoms and Nuclei276, 203 (1976)
Girod, M., Reinhard, P.-G.: Phys. Lett.117B, 1 (1982)
Endt, P.M.: At. Data Nucl. Data Tables23, 3 (1979);26, 47 (1981)
Tondeur, F.: Phys. Lett.123B, 139 (1983)
Negele, J.W., Riska, D.O.: Phys. Rev. Lett.40, 1005 (1978)
Jancovici, B., Schiff, D.M.: Nucl. Phys.58, 678 (1964)
Stringari, A.S.: Nucl. Phys. A325, 199 (1979)
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Reinhard, P.G., Friedrich, J. A sum-rule approach to nuclear ground state correlations. Z Physik A 321, 619–632 (1985). https://doi.org/10.1007/BF01432439
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DOI: https://doi.org/10.1007/BF01432439