Abstract
We compare the Brueckner-Hartree-Fock and theλ 00-approximations in nuclear matter theory. We use a back-to-back Yamaguchi potential with no tensor part, and which acts only in relative s states. We calculate and discuss the following quantities: saturation density, average binding energy per nucleon, strength and energy dependence of the real and of the imaginary parts of the optical model potential for the Fermi momentum equal to 1.9 fm−1. In both approximations, we investigate the low-energy asymptotic behaviour of the imaginary part of the mass operator. We discuss the existence of a narrow enhancement of the effective mass, it lies in the vicinity of the Fermi surface in Brueckner's approach, but significantly somewhat above the Fermi surface in theλ 00-approximation. In the case of the binding energy, both approximations are nearly equivalent.
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Pandharipande, V.R., Wiringa, R.B., Day, B.D.: Phys. Lett.57B, 205 (1975)
Martin, P.C., Schwinger, J.L.: Phys. Rev.115, 1342 (1959)
Puff, R.: Ann. Phys. (N.Y.)13, 317 (1961)
Falk, D.S., Wilets, L.: Phys. Rev.124, 1887 (1961)
Reynolds, J.C., Puff, R.D.: Phys. Rev.130, 1877 (1963); Phys. Rev.130, 1891 (1963)
Reiner, A.S.: Phys. Rev. B133, 1105 (1964)
Foster, T.C., Fiset, E.O.: Nuovo Cim.6A, 129 (1971)
Fiset, E.O., Foster, T.C.: Nucl. Phys. A184, 588 (1972)
Ho-Kim, Q., Khanna, F.C.: Ann. Phys. (N.Y.)86, 233 (1974)
Wegmann, G., Weigel, M.: Phys. Lett.26B, 245 (1968)
Wegmann, G.: Z. Physik211, 235 (1968)
Weigel, M., Wegmann, G.: Fortschritte Phys.19, 451 (1971)
Gall, H., Weigel, M., Wegmann, G.: Z. Physik A275, 419 (1975)
Gall, H., Weigel, M.: Z. Physik A276, 45 (1976)
Sprung, D.W.L.: Advances in Nucl. Phys.5, 225 (1972)
Siemens, P.J.: Nucl. Phys. A114, 225 (1970)
Bethe, H.A.: Ann. Rev. Nucl. Sci.21, 93 (1971)
Jeukenne, J.-P., Lejeune, A., Mahaux, C.: Phys. Rev. C10, 1391 (1974); Nucl. Phys. A245, 411 (1975)
Hüfner, J., Mahaux, C.: Ann. Phys. (N.Y.)73, 525 (1972)
Nozieres, P.: Theory of Interacting Fermi System, New York: W.A.Benjamin 1964
Fetter, A.L., Walecka, F.D.: Quantum Theory of Many-Particle Systems, New York: McGraw-Hill 1971
Bell, J.S., Squires, E.J.: Phys. Rev. Lett.3, 96 (1959)
Jeukenne, J.-P., Lejeune, A., Mahaux, C.: Phys. Report25 C nℴ 2 (1976)
Luttinger, J.M.: Phys. Rev. B140, 287 (1965)
Migdal, A.B.: Nucl. Phys.30, 239 (1962)
Brown, G.E., Gunn, J.H., Gould, P.: Nucl. Phys.46, 598 (1963)
Bohr, A., Mottelson, B.: Nuclear Structure, vol. I. New York: W.A. Benjamin 1969
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Chercheur I.I.S.N., Belgium
The author wishes to thank Prof. C. Mahaux, Drs. P.Haensel, J.-P.Jeukenne and A.Lejeune, and M.R.Sartor for enlightenning discussions and helpful criticism.
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Marville, C. A comparison between Brueckner's approach and the λ00-approximation in the many-body theory of nuclear matter. Z Physik A 279, 175–181 (1976). https://doi.org/10.1007/BF01437875
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DOI: https://doi.org/10.1007/BF01437875