Prog. Theor. Phys. Vol. 68 No. 5 (1982) pp. 1627-1643

[ Full Text PDF : FREE ACCESS (671K) ]

Unitary-Model-Operator Approach to Nuclear Effective Interaction. I

— Description of Short-Range Correlations —

Kenji Suzuki

Department of Physics, Kyushu Institute of Technology, Kitakyushu 804

(Received May 27, 1982)

Abstract:

A general theory is proposed for the description of short-range correlations of two nucleons in nuclei in the framework of the unitary-model-operator approach. A new effective interaction is derived through the unitary transformation of the original Hamiltonian. The transformed Hamiltonian is given in a cluster expansion form, and the structure of the one- and two-body cluster terms is studied. New aspects of the present approach, compared with the G-matrix theory, are; (i) the new effective interaction is E-independent and Hermitian, (ii) it satisfies the decoupling condition between low- and high-momentum two-particle states, and (iii) it contains both of the contributions of ladder and folded diagrams. It is suggested that the properties (i)∼(iii) of the new effective interaction may offer considerable advantages in accounting manybody correlations and deriving effective interaction among valence nucleons.

URL : http://ptp.ipap.jp/link?PTP/68/1627/
DOI : 10.1143/PTP.68.1627

References:

T. T. S. Kuo and G. E. Brown, Nucl. Phys. 85 (1966), 40[CrossRef].
A. Arima, Proceedings of the International Conference on Nuclear Physics (Berkeley, 1980), Nucl. Phys. A 354 (1981), 19c.
B. H. Brandow, Rev. Mod. Phys. 39 (1967), 771[APS].
T. T. S. Kuo, S. Y. Lee and K. F. Ratcliff, Nucl. Phys. A 176 (1971), 65[CrossRef].
T. T. S. Kuo, Lecture Notes in Physics (Springer-Verlag), vol. 144 (1981), 248.
A. Andō, H. Bandō and E. M. Krenciglowa, Prog. Theor. Phys. Suppl. No. 65 (1979), 38[PTP].
P. U. Sauer, Nucl. Phys. A 150 (1970), 467[CrossRef].
E. M. Krenciglowa, C. L. Kung, T. T. S. Kuo and E. Osnes, Ann. of Phys. 101 (1976), 154[CrossRef].
S. Nagata, H. Bandō and Y. Akaishi, Prog. Theor. Phys. Suppl. No. 65 (1979), 10[PTP].
K. Suzuki and S. Y. Lee, Prog. Theor. Phys. 64 (1980), 2091[PTP].
K. Suzuki, Prog. Theor. Phys. 68 (1982), 246[PTP].
F. Villars, Proceedings of the International School of Physics ≪Enrico Fermi≫, Course XXIII (1963), 1.
J. Da Providencia and C. M. Shakin, Ann. of Phys. 30 (1964), 95[CrossRef].
C. M. Shakin, Y. R. Waghmare and M. H. Hull, Jr., Phys. Rev. 161 (1967), 1006[APS].
A. Poves and A. Zuker, Phys. Rep. 71 (1981), 141[CrossRef].
B. H. Brandow, Phys. Rev. 152 (1966), 863[APS].
B. H. Brandow, Ann. of Phys. 57 (1970), 214[CrossRef].
J. P. Vary, P. U. Sauer and C. W. Wong, Phys. Rev. C 7 (1973), 1776[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 1999-2013 :
Unitary-Model-Operator Approach to Nuclear Effective Interaction. II

Kenji Suzuki
Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 439-451 :
Degenerate Perturbation Theory in Quantum Mechanics

Kenji Suzuki and Ryoji Okamoto
Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1388-1404 :
Unitary-Model-Operator Approach to Nuclear Many-Body Problem. I

Kenji Suzuki and Ryoji Okamoto
Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 127-142 :
Unitary-Model-Operator Approach to Nuclear Many-Body Problem. II

Kenji Suzuki and Ryoji Okamoto
Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 330-342 :
Theory of Many-Fermion System on Unitary-Transformation Method

Kenji Suzuki
Progress of Theoretical Physics Vol. 87 No. 4 (1992) pp. 937-955 :
Reformulation of Coupled-Cluster Theory for Many-Fermion System on Similarity-Transformation Theory

Kenji Suzuki
Progress of Theoretical Physics Vol. 92 No. 6 (1994) pp. 1045-1080 :
Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem

Kenji Suzuki and Ryoji Okamoto