Summary
Regularization techniques, well known in QFT, are applied to nuclear physics, in the presence of a nucleon-meson interaction, in order to extract a finite part from the divergent nucleon self-energy Feynman integral. Explicit calculations in the case of the16O nucleus have been carried out.
Riassunto
Tecniche di regolarizzazione, ben note in QFT, sono applicate allo studio di un sistema nucleare in presenza di un’interazione mesone-nucleone, al fine di estrarre la parte finita dall’integrale divergente di Feynman corrispondente all’autoenergia di nucleone. Si riportano calcoli espliciti per il caso del nucleo16O.
Реэюме
Техника регуляриэации применяется к ядерной фиэике при наличии нуклон-меэонного вэаимодействия, чтобы получить конечную часть иэ расходяшегося фейнмановского интеграла для собственной знергии нуклона. Проводятся явные вычисления в случае ядра16O.
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References
C. B. Dover andR. H. Lemmer:Phys. Rev.,165, 1105 (1968).
F. Catara, M. Consoli, A. Insolia, L. Pappalardo andS. Pappalardo:Nucl. Phys.,276 A, 433 (1977).
W. D. Brown, R. D. Puff andL. Wilets:Phys. Rev. C,2, 331 (1970);L. Wilets, R. D. Puff, D. Chiang andW. T. Nutt:Phys. Rev. C,14, 2269 (1976).
K. Erkelenz:Phys. Rep.,13, 291 (1974).
R. M. Woloshyn andA. D. Jackson:Nucl. Phys.,64 B, 269 (1973).
A. Agodi, F. Catara andM. Di Toro:Ann. of Phys.,40, 1 (1966);49, 445 (1968).
In ref. (2) eq. (21) must be substituted by the here reported eq. (11). Indeed the expression forU k (K′) of ref. (2) is not that of an «orthogonality scattering state», but just the wave function of the state created by the operatora Δ k therein defined.
N. N. Bogoliubov andD. V. Skirkov:Introduction to the Theory of Quantized Fields (New York, N. Y., 1959).
J. M. Jauch andF. Rohrlich:The Theory of Photons and Electrons (New York, N. Y., 1955).
W. Pauli andF. Villars:Rev. Mod. Phys.,21, 434 (1949).
G. ’tHooft andM. Veltman:Nucl. Phys.,44 B, 189 (1972).
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Catara, F., Consoli, M. & Insolia, A. On the renormalization of the nucleon self-energy in finite nuclei. Nuov Cim A 41, 648–658 (1977). https://doi.org/10.1007/BF02730266
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DOI: https://doi.org/10.1007/BF02730266