Quick Search:
Prog. Theor. Phys. Vol. 53 No. 2 (1975) pp. 544-564
A New Approach to Relativistic Composite Model of Hadrons. I
Masako Bando,
Taichiro Kugo and
Sho Tanaka
Department of Physics, Kyoto University, Kyoto
(Received June 24, 1974)
Abstract:
A new scheme of hadron composite model is proposed. The hadron constituents are described as relativistic independent particles with Dirac's four components in a central potential. The potential is supposed to be self-consistently determined via a net effect of the media of infinite constituent-particle inside a hadron. Any hadron at rest is composed of several constituent particles, i.e., the valance constituents on the media mentioned above, which are specified with the individual “whole angular momentum” j=σ/2+l, besides other suitable quantum numbers. Our scheme possesses several desirable features of hadron dynamics. First, the successful results of SU(6) symmetry founded on the concept of the non-relativistic spin of constituents are retained. Secondly, the effect of the “small component” of constituent particles enables us to make clear the problems concerning static phenomena such as the paradox of Van Royen-Weisskopf, the GA/GV ratio deviated from the predicted value of SU(6) theory and so on. Thirdly, on account of the relativistic treatment of constituent particles, our scheme improves the results of strong decays of hadrons so far dealt with, for instance, by SU(6)W.
URL :
http://ptp.ipap.jp/link?PTP/53/544/
DOI : 10.1143/PTP.53.544
References:
- J. J. J. Kokkedee, The Quark Model (Benjamin, New York, 1964).
- R. Van Royen and V. F. Weisskopf, Nuovo Cim. A 50 (1967), 617.
- P. N. Bogolyubov, Ann. Inst. Henri Poincaré VIIIA (1968), 163.
-
C. H. Llewellyn Smith, Ann. of Phys. 53 (1969), 521[CrossRef].
- See, for instance, M. Bando, T. Kugo and K. Yamawaki, Soryusiron Kenkyu (mimeographed circular in Japanese) 48 (1973), 1328.
-
E. W. Colglazier and J. L. Rosner, Nucl. Phys. B 27 (1971), 349[CrossRef].
- H. J. Melosh, EFI preprint 73/26 (1973).
- Y. Nambu, Symmetries and Quark Models (Gordon and Breach, N.Y., 1970), p. 269.
L. Susskind, Nuovo Cim. 69 (1970), 210;
Phys. Rev. D 1 (1970), 1182[APS].
- N. N. Bogolyubov, Sov. Phys.-JETP 34 (1958), 41; ibid. 34 (1958), 51.
J. G. Valatin, Nuovo Cim. 7 (1958), 843.
- K. Fujimura, T. Kobayashi and M. Namiki, Prog. Theor. Phys. 43 (1970), 73[PTP].
S. Ishida, Prog. Theor. Phys. 46 (1971), 1570[PTP]; ibid. 46 (1971), 1905[PTP].
R. P. Feynman, M. Kislinger and F. Ravndal, Phys. Rev. D 3 (1971), 2706[APS].
-
K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett. 16 (1966), 255[APS].
-
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS].
-
See, for instance, O. W. Greenberg, Phys. Rev. Lett. 13 (1964), 593[APS].
-
L. L. Foldy and S. A. Wouthuysen, Phys. Rev. 78 (1950), 29[APS].
- K. E. Lassila and S. Tanaka, Ann. Acad. Sci. Fennnicae AVI (1965), 188.
-
Riazuddin and Fayyazuddin, Phys. Rev. 147 (1966), 521[APS].
- The numerical values are taken from M. Ida, Prog. Theor. Phys. 51 (1974), 1521[PTP].
-
H. J. Lipkin and S. Meshkov, Phys. Rev. 143 (1966), 1269[APS].
-
Particle Data Group, Rev. Mod. Phys. 45 (1973), S1[APS].
- S. U. Chung, Proceedings of the XVI International Conference on High Energy Physics, Batavia, Illinois (1972).
-
J. L. Rosner, Phys. Rev. D 7 (1973), 172[APS].
-
S. Okubo, Phys. Rev. Lett. 5 (1963), 165[APS].
J. Iizuka, Prog. Theor. Phys. 35 (1966), 117[PTP]; ibid. 35 (1966), 309[PTP].
- See, for instance, M. E. Rose, Relativistic Electron Theory (John Wiley and Sons, New York, 1960).
-
D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1953), 1102[APS].
D. M. Brink and A. Weignuy, Nucl. Phys. A 120 (1968), 59[CrossRef].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 169-184
:
-
A New Approach to Relativistic Composite Model of Hadrons. II
-
Masako Bando, Sho Tanaka and Mihoko Toya
-
Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1488-1503
:
-
Photon Transitions between Baryons in a New Hadron Scheme
-
Hiroshi Sugimoto and Mihoko Toya
-
Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 2032-2034
:
-
A Simple Derivation of Ginzburg-Landau-Higgs Type Lagrangian
-
Taichiro Kugo
-
Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 968-978
:
-
Decays of Baryon Resonances in a New Hadron Scheme
-
Mihoko Toya
-
Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 895-906
:
-
On the Peculiarity of the Pion in the Composite Model of Hadrons
-
Makoto Sekiya
-
Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 480-490
:
-
Analysis of the Photocouplings of Baryon Resonances
-
Masako Bando, Hiroshi Sugimoto and Mihoko Toya
-
Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 903-916
:
-
Decays of the New and Old Hadrons. I
-
Masako Bando, Hiroshi Sugimoto and Mihoko Toya
-
Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 959-963
:
-
Mass Spectrum of Exotic Particles in a Bose Quark Model
-
Shin Ishida and Masuho Oda
-
Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 168-185
:
-
Hadron Matrix Elements of Quark Operators in the Relativistic Quark Model
-
Masako Bandō, Hiroshi Sugimoto and Mihoko Toya
-
Progress of Theoretical Physics Vol. 62 No. 5 (1979) pp. 1340-1356
:
-
Hadron Matrix Elements of Quark Operators in the Relativistic Quark Model. II
-
Hiroaki Arisue, Masako Bando, Hiroshi Sugimoto and Mihoko Toya
-
Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1452-1454
:
-
Note on the Photocouplings of Mesons
-
Masako Bando, Hiroshi Sugimoto and Mihoko Toya
-
Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1363-1378
:
-
Mechanism of “ΔI=1/2 Enhancement” in the Relativistic Quark Model
-
Yoshikazu Abe, Kanji Fujii, Takashi Okazaki, Hiroaki Arisue, Masako Bando and Mihoko Toya
-
Progress of Theoretical Physics Vol. 66 No. 2 (1981) pp. 635-644
:
-
ΔI=1/ 2 Rule in Ω Decay and the Relativistic Composite Model
-
Takashi Okazaki
-
Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1395-1407
:
-
Two-Body Decays of Nucleon and the Lifetime of Proton in Grand Unification Theories
-
Hiroaki Arisue
-
Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 909-919
:
-
Static Bag Model Predictions of the Proton Lifetime and Branching Ratios in the SU(5) Grand Unified Theory
-
Masami Wakano
-
Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 977-987
:
-
Role Q2Q2 Composites in D-Meson Decays
-
Kanji Fujii and Hirohumi Sawayanagi
-
Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1323-1330
:
-
Relativistic Harmonic Oscillator Quark Model with Unequal Quark Masses
-
Shin Ishida and Takashi Sonoda
-
Progress of Theoretical Physics Vol. 70 No. 6 (1983) pp. 1685-1688
:
-
Baryon Spectra in a Relativistic Quark Model with Pion Field
-
Tetsuo Hatsuda
-
Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 1047-1050
:
-
Free Field Dominance of Deep-Inelastic Structure Functions in a Nontopological Soliton Bag Model
-
Ryosei Hayashi
-
Progress of Theoretical Physics Vol. 75 No. 2 (1986) pp. 340-352
:
-
Weak Transitions of Low-Lying Baryons in Skyrme and Quark Models
-
Norihito Toyota and Kanji Fujii
-
Progress of Theoretical Physics Supplement No.67 (1979) pp. 209-281
:
-
Multi-Local Hadron Fields
-
Shin Ishida and Masuho Oda
-
Progress of Theoretical Physics Supplement No.109 (1992) pp. 99-113
:
-
Chapter V. Weak Transitions of Low-Lying Baryons in the Skyrme Model
-
Kanji Fujii, Yoshihiko Kondo and Sakae Saito