Quick Search:
Prog. Theor. Phys. Supplement No.52 (1972) pp. 339-375
Chapter VII. Nuclear Forces in Nuclei and Alpha-Clusterization
Yoshinori Akaishi,
Hiroharu Bandō* and
Sinobu Nagata**
Department of Physics, Hokkaido University, Sapporo
*Division of Mathematical Physics, Fukui University, Fukui
**Department of Physics, Kyoto University, Kyoto
(Received December 15, 1972)
Abstract:
Contents
§1. Introduction
§2. Application of reaction matrix theory to very light nuclei
2.1 Formulation
2.2 Independent-pair approximation
2.3 Solution of reaction matrix equation
2.4 Results
§3. Binding mechanism of alpha-particle and triton
3.1 Reliability of the independent-pair model
3.2 Role of the tensor force in the triplet even state for nuclear saturation and change of the effective interaction depending on the “starting energy”
3.3 Understanding of the stability of the alpha-particle in relation to realistic nuclear forces
§4. A method of treating the alpha-clustering on the basis of realistic nuclear forces
4.1 Model wave functions for the alpha-cluster intrinsic state
4.2 Self-consistency between the reaction matrices and the single particle energies
4.3 Generator coordinate method
§5. Alpha-clusterization and clustering-induced interaction
§6. Conclusions and future problems
Appendices
URL :
http://ptp.ipap.jp/link?PTPS/52/339/
DOI : 10.1143/PTPS.52.339
References:
- For example, Prog. Theor. Phys. Suppl. No. 3 (1956); ibid. No. 39 (1967); ibid. No. 42 (1968).
- Some of the work were performed on this viewpoint in the “Annual Research Project for the Nuclear Force and Nuclear Structure” organized by the Research Institute for Fundamental Physics from 1960 to 1963.
- Y. Akaishi and S. Nagata, Prog. Theor. Phys. 48 (1972), 133[PTP].
- H. Bandō, S. Nagata and Y. Yamamoto, Prog. Theor. Phys. 44 (1970), 646[PTP]; ibid. 45 (1971), 1515[PTP].
- R. Tamagaki, Prog. Theor. Phys. 39 (1968), 91[PTP].
-
T. Hamada and I. D. Johnston, Nucl. Phys. 34 (1962), 382[CrossRef].
- Y. Akaishi and S. Nagata, Prog. Theor. Phys. Suppl. Extra Number (1968), 476[PTP].
-
G. E. Brown and A. M. Green, Nucl. Phys. A 137 (1969), 1[CrossRef].
R. K. Bhaduri, Y. Nogami and C. K. Ross, Phys. Rev. C 2 (1970), 2082[APS].
-
L. M. Delves and M. A. Hannell, Nucl. Phys. A 168 (1971), 347[CrossRef].
- Y. Akaishi, J. Hiura, M. Sakai and H. Tanaka, Contribution to Int. Conf. on Nucleon-Nucleon Interactions and Three- and Four-Body Problems, 1972, Los Angeles.
-
a) K. A. Brueckner and J. L. Gammel, Phys. Rev. 109 (1958), 1023[APS].
b) K. A. Brueckner and K. S. Masterson, Jr., Phys. Rev. 128 (1963), 2267[APS].
c) H. A. Bethe, B. H. Brandow and A. G. Petschek, Phys. Rev. 129 (1963), 225[APS].
d) C. W. Wong, Nucl. Phys. 56 (1964), 213[CrossRef];
ibid. 71 (1965), 385[CrossRef].
e) H. A. Bethe, Phys. Rev. 138 (1965), B804[APS].
f) S. Nagata, K. Takada and S. Takagi, Soryushiron Kenkyu (Mimeographed Circular in Japanese) 34 (1966), 371.
g) M. Harada, R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 36 (1966), 1003[PTP].
h) Y. Akaishi, K. Takada and S. Takagi, Prog. Theor. Phys. 36 (1966), 1135[PTP].
i) K. Takada, S. Takagi and W. Watari, Prog. Theor. Phys. 38 (1967), 144[PTP].
j) M. Harada, Prog. Theor. Phys. 38 (1967), 353[PTP].
k) R. Tamagaki, Proceedings of the International Conference on Nuclear Structure (Tokyo, 1967), p. 27.
l) B. H. Brandow, Rev. Mod. Phys. 39 (1967), 771[APS].
m) Y. Akaishi, H. Bandō, A. Kuriyama and S. Nagata, Prog. Theor. Phys. 40 (1968), 288[PTP].
n) P. J. Siemens, Nucl. Phys. A 141 (1970), 225[CrossRef].
-
L. C. Gomes, J. D. Walecka and V. F. Weisskopf, Ann. of Phys. 3 (1958), 241[CrossRef].
-
I. R. Afnan, D. M. Clement and F. J. D. Serduke, Nucl. Phys. A 170 (1971), 625[CrossRef].
- Y. Akaishi and H. Bandō, Prog. Theor. Phys. 41 (1969), 1594[PTP].
- Y. Kishi, Prog. Theor. Phys. 43 (1970), 39[PTP].
- J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John-Wiley & Sons, 1954) Chapter III, Sections 3 and 4.
-
A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
- J. Goldstone, Proc. R. Soc. A 239 (1957), 267.
-
H. S. Kohler and R. J. McCarthy, Nucl. Phys. A 106 (1968), 313[CrossRef].
-
R. V. Reid, Ann. of Phys. 50 (1968), 411[CrossRef].
- H. A. Bethe, private communication.
-
C. Pask, Phys. Lett. B 25 (1967), 78[CrossRef].
P. C. Y. Yip, Y. Nogami and C. K. Ross, Nucl. Phys. A 176 (1971), 505[CrossRef].
-
C. Pask, Nucl. Phys. A 132 (1969), 234[CrossRef].
-
C. de Vries, R. Hofstadter, A. Johansson and R. Herman, Phys. Rev. 134 (1964), B848[APS].
-
H. Frank, D. Haas and H. Prange, Phys. Lett. 19 (1965), 391[CrossRef];
ibid. 19 (1965), 719[CrossRef].
- S. Nagata and S. Nishiyama, Soryushiron Kenkyu (Mimeographed Circular in Japanese) 43 (1971), F232.
- Y. Akaishi and K. Takada, Prog. Theor. Phys. 37 (1967), 847[PTP].
-
E. W. Schmid, Y. C. Tang and R. C. Herndon, Nucl. Phys. 42 (1963), 95[CrossRef].
- S. Nagata, T. Sasakawa, T. Sawada and R. Tamagaki, Prog. Theor. Phys. 22 (1959), 274[PTP].
H. Kanada, S. Nagata, S. Otsuki and Y. Sumi, Prog. Theor. Phys. 30 (1963), 475[PTP].
D. R. Thompson, I. Reichstein, W. McClure and Y. C. Tang, Phys. Rev. 185 (1969), 1351[APS].
-
J. A. Wheeler, Phys. Rev. 52 (1937), 1083[APS].
K. Wildermuth and Th. Kanellopoulos, Nucl. Phys. 9 (1958), 449[CrossRef].
R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 34 (1965), 191[PTP].
S. Okai and S. C. Park, Phys. Rev. 145 (1966), 787[APS].
R. Tamagaki, Prog. Theor. Phys. Suppl. Extra Number (1968), 242[PTP].
-
D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1953), 1102[APS].
J. J. Griffin and J. A. Wheeler, Phys. Rev. 108 (1957), 311[APS].
H. Horiuchi, Prog. Theor. Phys. 43 (1970), 375[PTP].
-
R. Jastrow, Phys. Rev. 98 (1955), 1479[APS].
I. Iwamoto and M. Yamada, Prog. Theor. Phys. 17 (1957), 543[PTP].
-
C. Bloch and J. Horowitz, Nucl. Phys. 8 (1958), 91[CrossRef].
H. Bandō, T. Murota and S. Nagata, Prog. Theor. Phys. 29 (1963), 221[PTP].
- M. Kamimura, T. Matsuse and K. Takada, Prog. Theor. Phys. 47 (1972), 1537[PTP].
-
H. Margenau, Phys. Rev. 59 (1941), 37[APS].
D. M. Brink, Proceedings of the International School of Physics, Enrico Fermi Cource XXXVI (1966), p. 247.
- H. Tanaka, Proceedings of the International Conference, Bochum (1969), ed. E. R. A. Beck (IAEA, Vienna, 1969), p. 137.
Y. Abe, Proceedings of the International Conference, Bochum (1969), ed. E. R. A. Beck (IAEA, Vienna, 1969), p. 303.
- Y. Suzuki and K. Kubodera, Prog. Theor. Phys. 44 (1970), 617[PTP].
K. Itonaga and H. Band=o, Prog. Theor. Phys. 44 (1970), 1232[PTP].
Y. Abe, J. Hiura and H. Tanaka, Prog. Theor. Phys. 46 (1971), 352[PTP].
-
M. Riou, Rev. Mod. Phys. 37 (1965), 375[APS].
-
H. Morinaga, Phys. Lett. 21 (1966), 78[CrossRef].
- Y. Suzuki, H. Horiuchi and K. Ikeda, Prog. Theor. Phys. 47 (1972), 1517[PTP].
- Y. Yamamoto, private communications.
- R. Tamagaki, Prog. Theor. Phys. 42 (1969), 748[PTP].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 471-486
:
-
Realistic Effective Interaction between Nucleons in Cluster States of Light Nuclei
-
Yasuo Yamamoto
-
Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 509-520
:
-
Effective Interactions in Finite Nuclei Based on Reaction Matrix Theory. I
-
Kazuhiko Andō, Hiroharu Bandō and Sinobu Nagata
-
Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 104-118
:
-
Structure of Intrinsic States of Kπ = 0+ Bands in 20Ne
-
Fumiki Nemoto, Yasuo Yamamoto, Hisashi Horiuchi, Yasuyuki Suzuki and Kiyomi Ikeda
-
Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 817-830
:
-
Brueckner-Generator-Coordinate Method and Application to α-α Scattering
-
Yasuo Yamamoto, Hiroharu Bandō and Shinobu Nagata
-
Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1270-1273
:
-
Refinements of the R-Space Funabashi Potentials
-
Toshio Obinata
-
Progress of Theoretical Physics Vol. 81 No. 4 (1989) pp. 738-742
:
-
Three-Alpha Potential in 3 α and 4 α Orthogonality Condition Models
-
Kimikatsu Fukatsu, Kiyoshi Katō and Hajime Tanaka
-
Progress of Theoretical Physics Vol. 87 No. 1 (1992) pp. 151-167
:
-
The 4α Orthogonality Condition Model for Low-Lying 0+ States of 16O
-
Kimikatsu Fukatsu and Kiyoshi Katō
-
Progress of Theoretical Physics Vol. 113 No. 4 (2005) pp. 763-783
:
-
Tensor Correlation in 4He and Its Effect on the Doublet Splitting in 5He
-
Takayuki Myo, Kiyoshi Katō and Kiyomi Ikeda
-
Progress of Theoretical Physics Vol. 115 No. 6 (2006) pp. 1069-1092
:
-
Explicit Treatment of the Tensor Force with the Method of Antisymmetrized Molecular Dynamics
-
Akinobu Doté, Yoshiko Kanada-En'yo, Hisashi Horiuchi, Yoshinori Akaishi and Kiyomi Ikeda
-
Progress of Theoretical Physics Vol. 117 No. 2 (2007) pp. 257-274
:
-
Tensor Correlation in 4He with the Tensor-Optimized Shell Model
-
Takayuki Myo, Satoru Sugimoto, Kiyoshi Katō, Hiroshi Toki and Kiyomi Ikeda
-
Progress of Theoretical Physics Vol. 121 No. 2 (2009) pp. 299-317
:
-
Description of Nuclear Structures with Brueckner-AMD plus Jπ Projection
-
Tomoaki Togashi, Takaomi Murakami and Kiyoshi Katō
-
Progress of Theoretical Physics Vol. 124 No. 2 (2010) pp. 315-330
:
-
Tensor Force Effects on α-α Clustering of 8Be
-
Yuhei Yamamoto, Tomoaki Togashi and Kiyoshi Katō
-
Progress of Theoretical Physics Supplement No.56 (1974) pp. 6-31
:
-
Chapter II. The ATMS Method and the Three-Nucleon System with Realistic Potentials
-
Yoshinori Akaishi, Motoki Sakai, Jun Hiura and Hajime Tanaka
-
Progress of Theoretical Physics Supplement No.61 (1977) pp. 229-261
:
-
Three-Alpha Structure of 12C in the Boson Model
-
Ryozo Tamagaki and Yoshikazu Fujiwara
-
Progress of Theoretical Physics Supplement No.65 (1979) pp. 1-9
:
-
Chapter I. Introduction
-
Kazuhiko Andō, Hiroharu Bandō and Sinobu Nagata
-
Progress of Theoretical Physics Supplement No.65 (1979) pp. 10-37
:
-
Chapter II. Nuclear Reaction Matrix and Nuclear Forces
-
Sinobu Nagata, Hiroharu Bandō and Yoshinori Akaishi
-
Progress of Theoretical Physics Supplement No.65 (1979) pp. 173-199
:
-
Chapter VI. Reaction Matrix Approach to the Cluster State
-
Yasuo Yamamoto, Hiroharu Bandō and Sinobu Nagata
-
Progress of Theoretical Physics Supplement No.68 (1980) pp. 1-28
:
-
Chapter I. Introduction to Comprehensive Nuclear Structure Study Based on Cluster Correlations and Molecular Viewpoint
-
Kiyomi Ikeda, Hisashi Horiuchi and Sakae Saito
-
Progress of Theoretical Physics Supplement No.68 (1980) pp. 29-192
:
-
Chapter II. Comprehensive Study of Alpha-Nuclei
-
Yoshikazu Fujiwara, Hisashi Horiuchi, Kiyomi Ikeda, Masayasu Kamimura, Kiyoshi Katō, Yasuyuki Suzuki and Eiji Uegaki
-
Progress of Theoretical Physics Supplement No.68 (1980) pp. 193-302
:
-
Chapter III. Study of Non-Alpha-Nuclei Based on the Viewpoint of Cluster Correlations
-
Hiroshi Furutani, Hiroyuki Kanada, Tsuneo Kaneko, Sinobu Nagata, Hidetoshi Nishioka, Shigeto Okabe, Sakae Saito, Toshimi Sakuda and Michio Seya
-
Progress of Theoretical Physics Supplement No.192 (2012) pp. 1-238
:
-
Recent Developments in Nuclear Cluster Physics
-
Hisashi Horiuchi, Kiyomi Ikeda and Kiyoshi Katō