Abstract
The effective pairing interaction in the 1 S 0 channel as calculated microscopically within the Brueckner method for a planar slab of nuclear matter by using the separable version of the Paris nucleon-nucleon potential is investigated. The effective interaction is determined for the model space including all negative-energy single-particle states. An analysis is performed for two values of the chemical potential, μ=−8 and −4 MeV. It is shown that, to a high precision, the effective interaction can be approximated by the off-shell T matrix for free nucleon-nucleon interaction, the T matrix in question being taken at a negative value of the total energy of two nucleons E=2μ.
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M. Baldo, U. Lombardo, E. E. Saperstein, and M. V. Zverev, Yad. Fiz. 58, 1572 (1995) [Phys. At. Nucl. 58, 1483 (1995)]; Yad. Fiz. 60, 1206 (1997) [Phys. At. Nucl. 60, 1081 (1997)].
M. Baldo, U. Lombardo, E. E. Saperstein, and M. V. Zverev, Nucl. Phys. A 628, 503 (1998).
J. Haidenbauer and W. Plessas, Phys. Rev. C 30, 1822 (1984).
J. Haidenbauer and W. Plessas, Phys. Rev. C 32, 1424 (1985).
M. Lacombe, B. Loiseaux, J. M. Richard, et al., Phys. Rev. C 21, 861 (1980).
A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Nauka, Moscow, 1983, 2nd ed.; Interscience, New York, 1967).
P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, Berlin, 1980).
M. Baldo, J. Cugnon, A. Lejeune, and U. Lombardo, Nucl. Phys. A 515, 409 (1990).
M. Baldo, I. Bombaci, G. Giansiracusa, and U. Lombardo, Nucl. Phys. A 545, 741 (1992).
A. B. Migdal and V. P. Krainov, Approximation Methods in Quantum Mechanics (Nauka, Moscow, 1966; Benjamin, New York, 1969).
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Translated from Yadernaya Fizika, Vol. 63, No. 8, 2000, pp. 1454–1464.
Original Russian Text Copyright © 2000 by Baldo, Lombardo, Saperstein, Zverev.
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Baldo, M., Lombardo, U., Saperstein, É.E. et al. Approximation of the microscopic effective pairing interaction by the off-shell T matrix for free nucleon-nucleon scattering. Phys. Atom. Nuclei 63, 1377–1386 (2000). https://doi.org/10.1134/1.1307460
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DOI: https://doi.org/10.1134/1.1307460