Abstract
Skyrme type potentials are known to lead — in the framework of the scaling model — to a finite-nucleus incompressibility valueK A where the volume coefficientK v equals roughly the negative surface coefficient Ks. This is found for Skyrme interactions with Kv between 200 and 360 MeV. In a semi-classical relativistic approach on the basis of theσ — ω model (linear as well as non-linear) using in addition local density approximations, we findK s to depend in particular on the surface energy coefficienta s , and not so much on the value ofK v . For a realistic value of as, both the linear and the non-linearσ — ω model (with NL1 parameter set) yield a ratio ¦K s K v ¦ of approximately 1. We discuss implications of this finding with a particular view on recent empirical results onK v andK s .
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References
Blaizot, J.P.: Phys. Rep.64, 171 (1980)
Möller, P., Nix, J.R.: At. Data Nucl. Data Tables39, 213 (1988)
Brack, M., Guet, C., Håkansson, H.-B.: Phys. Rep.123, 275 (1985)
Pandharipande, V.R.: Phys. Lett. B31, 635 (1970)
Sharma, M.M., Borghols, W.T.A., Brandenburg, S., Crona, S., Woude, A. van der, Harakeh, M.N.: Phys. Rev. C38, 2562 (1988)
Sharma, M.M., Stocker, W., Gleissl, P., Brack, M.: Nucl. Phys. A504, 337 (1989)
Blaizot, J.P.: Proc. NATO Adv. Study Inst. on Nucl. Eq. of State, Peniscola (Spain). Greiner, W., Stöcker, H. (eds.), Vol. 216A, p. 679. New York: Plenum Press 1990
Jennings, B.K., Jackson, A.: Phys. Rep.66, 141 (1980)
Treiner, J., Krivine, H., Bohigas, O., Martorell, J.: Nucl. Phys. A371, 253 (1981)
Gleissl, P., Brack, M., Quentin, P., Meyer, J.: Ann. Phys.197, 205 (1990)
Brack, M., Stocker, W.: Nucl. Phys. A388, 230 (1982)
Myers, W.D., Swiatecki, W.J.: Ann. Phys. (N.Y.)55, 395 (1969)
Stocker, W.: Nucl. Phys. A342, 293 (1980)
Farine, M., Côté, J., Pearson, J.M., Stocker, W.: Z. Phys. A — Atoms and Nuclei309, 151 (1982)
Pearson, J.M., Farine, M., Côté, J.: Phys. Rev. C26, 267 (1982)
Nayak, R.C., Pearson, J.M., Farine, M., Gleissl, P., Brack, M.: Nucl. Phys. A516, 62 (1990)
Sharma, M.M.: Proc. NATO Adv. Study Inst. on Nucl. Eq. of State, Peniscola (Spain). Greiner, W., Stöcker, H. (eds.), Vol. 216A, p. 661. New York: Plenum Press 1990
Serot, B.D., Walecka, J.D.: Adv. Nucl. Phys.16, 1 (1986)
Celenza, L.S., Shakin, C.M.: Relativ. Nucl. Phys. Singapore: World Scientific 1986
Weigel, M., Weber, F.: Nucl. Phys. A493, 549 (1985)
Reinhard, P.G.: Rep. Prog. Phys.52, 439 (1989);
Gambhir, Y.K., Ring, P., Thimet, A.: Ann. Phys. (N.Y.)198, 132 (1990)
Boguta, J., Bodmer, A.R.: Nucl. Phys. A292, 413 (1977)
Reinhard, P.G.: Z. Phys. A — Atomic Nuclei329, 257 (1988)
Serr, F.E., Walecka, J.D.: Phys. Lett.79B, 10 (1978);
Serot, B.D., Walecka, J.D.: Phys. Lett.87B, 172 (1979)
Hofer, D., Stocker, W.: Nucl. Phys. A492, 637 (1989)
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Dedicated to Prof. Dr. H. J. Mang on the occasion of his 60th birthday
We thank D. Hofer for supplying us with her RTF computer codes.
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Stocker, W., Sharma, M.M. Compression properties of finite nuclei in a semi-classical relativistic approach. Z. Physik A - Hadrons and Nuclei 339, 147–154 (1991). https://doi.org/10.1007/BF01282944
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DOI: https://doi.org/10.1007/BF01282944