Summary
The relative contribution arising from the fourth-order Casimir invariant in the subgroupB 2 is investigated for the dynamical super-symmetryU 6/4 proposed by Balantekin, Bars and Iachello for nuclei in the Os-Pt region, by making use of the data quoted by them. A similar method is applied to the linear and quadratic masses of baryons in theU 6/2 dynamical sypersymmetry for hadrons suggested by the present author in order to find an additional clue.
Similar content being viewed by others
Footnotes
D. V. Volkov andV. P. Akulov:Phys. Lett. B,46, 109 (1973);J. Wess andB. Zumino:Phys. Lett. B,49, 52 (1974).
D. Z. Freedman, P. van Nieuwenhuizen andS. Ferrara:Phys. Rev. D,13, 3214 (1976).
P. Fayet andS. Ferrara:Phys. Rep. C,32, 249 (1977),
P. van Nieuwenhuizen:Phys. Rep.,68, 189 1 (1981).
F. Iachello:Phys. Rev. Lett.,43, 679 (1979);A. B. Balantekin, I. Bars andF. Iachello:Phys. Rev. Lett.,47, 19 (1981);Nucl. Phys. A,370, 284 (1981);I. Bars:Supergroups and Their Representations, Yale University Preprint, YTP82-25 (November 1982), and references therein contained.
S. Iwao:Lett. Nuovo Cimento,37, 357 (1983);U 6/2 dynamical supersymmetry in between mesons and baryons, HPICK-0112 (April 1983).
S. Okubo:J. Math. Phys. (N.Y.),23, 8 (1982);S. Okubo andJ. Patera:General indices of representations and Casimir invariants, UR 836 (September 1982);Symmetrization of product representations and general indices of simple Lie algebras, UR 845 (January 1983).
See,e.g.,P. Ramond:Field Theory (London, 1981).
T. D. Lee:Particle Physics and Introduction to Field Theory (New York, N. Y., 1981).
M. Roos, F. C. Porter, M. Aguilar-Benitez, L. Montanet, Ch. Walck, R. L. Crawford, R. L. Kelly, A. Rittenberg, T. G. Trippe, C. G. Wohl, G. P. Yost, T. Shimada, M. J. Losty, G. P. Gopal, R. E. Hendrick, R. E. Shrock, R. Frosch, L. D. Roper andB. Armstrong:Phys. Lett. B,111, 1 (1982).
Y. Nambu:Concluding remarks, gauge theory and gravitation, Proc. of the Intern. Symposium on Gauge Theory and Gravitation (g & G), pp. 277–283, held at Tezukayama University, Nara, Japan, August 20–24, 1982, edited byK. Kikkawa, N. Nakanishi andH. Nariai (New York, N. Y., 1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Iwao, S. Effect of the fourth-order Casimir invariants onU 6/4 andU 6/2 dynamical supersymmetries in nuclei and baryons. Lett. Nuovo Cimento 38, 55–59 (1983). https://doi.org/10.1007/BF02782777
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02782777