Quick Search:
Prog. Theor. Phys. Vol. 40 No. 1 (1968) pp. 143-159
Strange Spin Formalism for Hadrons
Kazuhisa Shima,
Tsuneo Suzuki,
Akizo Kobayashi and
Hirofumi Senju
Department of Physics, Nagoya University, Nagoya
(Received December 28, 1967)
Abstract:
A model in which a new kind of spin, namely "strange spin X (X3=½ S)”, plays an important role besides isotopic spin I is set up on the basis of four constitunet baryons with integral electric charges and integral baryon numbers. These basic baryons form two doublets such as (I=½, X=0) and (I=0, X=½). The mass formula characteristic of the model, based on the broken U(4)-symmetry, accounts for the mass spectra of a super-multiplet involving new baryons such as Z0(1863), Z1(1910), and aleph-particle (m=2040±50) in addition to the usual octuplet ones. Also the formula brings the Gell-Mann-Okubo mass relation to the usual octuplet baryons and the Bjørken-Glashow one to the usual nonuplet mesons.
The selection rules based on the U(4)-symmetry account roughly for the low rate of the X0-production in the π-N reaction, and are compatible with the branching ratios of the strong decay made of φ and with the suppression of the φ-production in the N-N and π-N reactions in comparison with the ω-production.
Application of the present formalism to the electromagnetic interaction is also referred to.
URL :
http://ptp.ipap.jp/link?PTP/40/143/
DOI : 10.1143/PTP.40.143
References:
-
R. L. Cool, G. Giacomelli, T. F. Kycia, B. A. Leontic, K. K. Li, A. Lundby and J. Teiger, Phys. Rev. Lett. 17 (1966), 102[APS].
J. Tyson, J. S. Greenberg, V. W. Hughes, D. C. Lu, R. C. Minehart, S. Mori and J. E. Rothberg, Phys. Rev. Lett. 19 (1967), 255[APS].
- M. Koshiba, Prog. Theor. Phys. 37 (1967), 1042[PTP].
M. Koshiba, T. Nozaki, Y. Totsuka and S. Yamada, J. Phys. Soc. Jpn. 22 (1967), 1312[JPSJ].
S. Yamada and M. Koshiba, “A Systematic Investigation of Ultra High Energy Interaction” to be published in Phys. Rev.
-
G. H. Trilling, J. L. Brown, G. Goldhaber, S. Goldhaber, J. A. Kadyk and J. Scanio, Phys. Lett. 19 (1965), 427[CrossRef].
F. E. James and H. L. Kraybill, Phys. Rev. 142 (1966), 896[APS].
Aachen-Berlin-Bonn-Hambourg-München Collaboration, Nuovo Cim. 44 (1966), 530.
C. Aleff-Steinberger, D. Berley, D. Colley, N. Gelfand, D. Miller, U. Nauenberg, J. Schultz and T. H. Tan, Phys. Rev. 145 (1966), 1072[APS].
At present we have few data on the X0- and η-productions in the π-p reaction, so that the estimation of σ(X0)/FX0:σ(η)/Fη is not definite.
-
Y. Y. Lee, W. D. C. Moebs, Jr., B. P. Roe, D. Sinclair and J. C. Vander Velde, Phys. Rev. Lett. 11 (1963), 508[APS].
M. Abolins, R. L. Lander, W. A. W. Mehlhop, Nguyenhuu Xuong and P. M. Yager, Phys. Rev. Lett. 11 (1963), 381[APS].
C. Baltay, J. Lach, J. Sandweiss, H. D. Taft, N. Yeh, D. L. Stonehill and R. Stump, Phys. Rev. 142 (1966), 932[APS].
- A. H. Rosenfeld, N. Barash-Schmidt, A. Barbaro-Galtieri, W. J. Podolsky, J. R. Price, P. Söding, C. G. Wohl, M. Roos and W. J. Willis, preprint UCRL-8030 (Rev.) September 1967.
- A. Pais, Proc. Nat. Acad. Sci. 40 (1954), 484.
H. J. Lipkin, Lie Groups for Pedestrians (Interscience, 1965).
H. J. Lipkin, The 2nd Coral Gables Conference on Symmetry Principles at High Energy (January 1965), p. 202.
- In contrast with this formalism, the hyperspin formalism in which the half of hypercharge is done likewise has been taken up by several authors.
J. Schwinger, Phys. Rev. 104 (1956), 1164[APS];
Ann. of Phys. 2 (1957), 407[CrossRef].
A. Salam and J. C. Polkinghorne, Nuovo Cim. 2 (1955), 685.
B. d'Espagnat, J. Prentki and A. Salam, Nucl. Phys. 3 (1957), 446[CrossRef].
S. Nakamura, Prog. Theor. Phys. 32 (1964), 418[PTP].
S. Nakamura and S. Sato, Prog. Theor. Phys. 36 (1966), 159[PTP].
S. Nakamura, in Proceedings of International Conference on Elementary Particles, Kyoto, 1965.
S. Nakamura and S. Sato, preprint, November 1967.
-
P. Tarjanne and V. L. Teplitz, Phys. Rev. Lett. 11 (1963), 255[APS].
V. Amar and A. Esteve, Nuovo Cim. 30 (1963), 772.
Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32 (1964), 144[PTP].
Y. Hara, Phys. Rev. 134 (1964), 701[APS].
B. J. Bjørken and S. L. Glashow, Phys. Lett. 11 (1964), 255[CrossRef].
D. Amati, H. Bacry, J. Nuytz and J. Prentki, Nuovo Cim. 34 (1964), 1732.
J. P. Antoine, D. Speiser and R. J. Oakes, Phys. Rev. 141 (1966), 1542[APS].
-
H. Bacry, J. Nuytz and L. Van Hove, Phys. Lett. 9 (1964), 279[CrossRef]; Nuovo Cim. 35 (1965), 510.
-
M. Y. Han and Y. Nambu, Phys. Rev. 139 (1965), 1006[APS].
Y. Miyamoto, Prog. Theor. Phys. Suppl. Extra Number (1965), 187[PTP].
- Kang Chang Wang, International Conference on High Energy Physics, Kiev, 1959.
T. Yamanouchi and M. F. Kaplon, Phys. Rev. Lett. 3 (1959), 283[APS].
- G. Goldhaber, in Proceedings of the 13th International Conference on High Energy Physics, Berkeley, 1966.
-
M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
S. Okubo, Prog. Theor. Phys. 27 (1962), 949[PTP].
- M. Hama, Prog. Theor. Phys. 32 (1964), 411[PTP].
-
L. D. Roper, R. M. Wright and B. T. Feld, Phys. Rev. 138 (1965), 190[APS].
- D. Amati, H. Bacry, J. Nuytz and J. Prentki, Nuovo Cim. 34 (1964), 1732.
-
B. J. Bjørken and S. L. Glashow, Phys. Lett. 11 (1964), 255[CrossRef].
-
J. G. Rushbrooke, Phys. Rev. 143 (1966), 1345[APS].
-
S. Coleman and S. L. Glashow, Phys. Rev. Lett. 6 (1961), 423[APS].
- A. J. MacFarlane and E. C. G. Sudarshan, Nuovo Cim. 31 (1964), 1176.
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 40 No. 2 (1968) pp. 353-378
:
-
Rearrangement of Sakatons and High Energy Two-Body Scattering
-
Masahiro Imachi, Takeo Matsuoka, Kansuke Ninomiya and Shoji Sawada
-
Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 550-558
:
-
Lepton-Hadron Scattering and Elementary Particles
-
Hirofumi Senju
-
Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 724-725
:
-
Massive Lepton Pair Production in Hadron Collisions and the Parton Model
-
Hirofumi Senju
-
Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 971-981
:
-
Lepton-Hadron Collisions in a Sub-Urbaryonic Composite Model
-
Akira Kakuto and Akizo Kobayashi
-
Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1322-1330
:
-
The New Event in Cosmic Ray Showers and the U(4) Strange Spin Formalism
-
Tsuneo Suzuki and Hirofumi Senju
-
Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1893-1906
:
-
Study of η-η′ Mixing and SU(4) Quartet Scheme
-
Tsuneo Suzuki
-
Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 791-796
:
-
Composite Model of Hadrons Based on SU(4) \supsetSU(2) ⊗SU(2)
-
Masao Inose, Reiji Sugano and Tadakuni Tsujimura
-
Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1501-1512
:
-
On Weak Interaction and Its Selection Rule of the Quartet Model Based on SU(4) \supsetSU(2) ⊗SU(2)
-
Masao Inose and Reiji Sugano
-
Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 907-920
:
-
Broken Chiral SU(4) ⊗SU(4) Based on SU(4) \supsetSU(2) ⊗SU(2)
-
Masao Inose