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Prog. Theor. Phys. Vol. 97 No. 1 (1997) pp. 91-101
Properties of Nuclear Matter in Cutoff Field Theory and the Low-Energy Effective Lagrangian in the Hartree Approximation
Hiroaki Kouno,
Tomohiro Mitsumori,
Yoshitaka Iwasaki,
Katsuaki Sakamoto,
Nobuo Noda,
Kazuharu Koide,
Akira Hasegawa and
Masahiro Nakano*
Department of Physics, Saga University, Saga 840
*University of Occupational and Environmental Health, Kitakyushu 807
(Received June 24, 1996)
Abstract:
The properties of nuclear matter are studied in the cutoff field theory. It is indicated that the properties of nuclear matter are somewhat different from those described by the ordinary renormalization procedures when the cutoff is small (< 5 GeV). It is also found that, under the Hartree approximation, the small cutoff makes the euations of state hard, in particular at higher densities. The theory is modified in the framework of renormalization group methods with arbitrary cutoff Λ′. It is found that the expansion in terms of the σ-meson field φ is more favorable than the naive expansion of the inverse of Λ′ when we do not use a very large Λ′. It also indicated that the φ5 and φ6-terms seem to be needed in the effective Lagrangian of the cutoff field theory in the Hartree approximation.
URL :
http://ptp.ipap.jp/link?PTP/97/91/
DOI : 10.1143/PTP.97.91
References:
-
J. D. Walecka, Ann. of Phys. 83 (1974), 491[CrossRef].
- S. A. Chin, Phys. Lett. 62B (1976), 263;
Ann. of Phys. 108 (1977), 301[CrossRef].
- T. Kohmura, Y. Miyama, T. Nagai, S. Ohnaka, J. Da Providência and T. Kodama, Phys. Lett. B226 (1989), 207.
- R. J. Furnstahl and C. J. Horowitz, Nucl. Phys. A485 (1988), 632.
- H. Kurasawa and T. Suzuki, Nucl. Phys. A445 (1985), 685; A490 (1988), 571.
- T. D. Cohen, Phys. Lett. B211 (1988), 384.
-
K. G. Wilson and J. Kogut, Phys. Rep. 12 (1974), 75[CrossRef].
-
K. G. Wilson, Rev. Mod. Phys. 55 (1983), 583[APS].
- G. P. Lepage, in From actions to answers, Proceedings of the 1989 theoretical advanced study institute in elementary particle physics, ed. T. DeGrand and D. Toussaint (World Scientific, Singapore, 1990), p. 483.
- B. D. Serot and J. D. Walecka, in Advances in nuclear physics, ed. J. W. Negele and E. Vogt (Plenum Press, New York, 1986), vol. 16.
- E. K. Heide and S. Rudaz, Phys. Lett. B262 (1991), 375.
-
N. M. Hugenholtz and L. van Hove, Physica 24 (1958), 363[CrossRef].
- J. Boguta and A. R. Bodmer, Nucl. Phys. A292 (1977), 413.
-
R. J. Furnstahl, R. J. Perry and B. D. Serot, Phys. Rev. C40 (1989), 321[APS].
- K. Tanaka and W. Bentz, Nucl. Phys. A540 (1992), 383.
-
M. Nakano, A. Hasegawa, H. Kouno and K. Koide, Phys. Rev. C49 (1994), 3061[APS].
-
H. Kouno et al., Phys. Rev. C51 (1995), 1754[APS].
H. Kouno et al., Phys. Rev. C52 (1995), 135[APS].
H. Kouno et al., Phys., Rev. C53 (1996), 2542.
H. Kouno et al., Prog. Theor. Phys. 96 (1996), 191[PTP].
-
J. P. Blaizot, Phys. Rep. 64 (1980), 171[CrossRef].
- J. M. Pearson, Phys. Lett. B271 (1991), 12.
- H. Kouno et al., in preparation.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1123-1137
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Vacuum Effects and Compressional Properties of Nuclear Matter in Cutoff Field Theory
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Progress of Theoretical Physics Vol. 99 No. 3 (1998) pp. 395-411
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Meson-Nucleon Vertex Corrections in the Cutoff Field Theory and Tensor Coupling
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Progress of Theoretical Physics Vol. 103 No. 6 (2000) pp. 1183-1198
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Non-Perturbative Renormalization Group Equations in Quantum Hadrodynamics
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Hiroaki Kouno, Manabu Nakai, Akira Hasegawa and Masahiro Nakano
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Progress of Theoretical Physics Vol. 112 No. 5 (2004) pp. 831-854
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Effective Hadron Masses and Effective Interactions in Nuclear Matter
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Hiroaki Kouno, Yasushi Horinouchi and Kunito Tuchitani
