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Mass operator in theSU(3)-symmetric strong coupling theory with pseudoscalar mesons

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Czechoslovak Journal of Physics B Aims and scope

Abstract

In this paper theSU(3)-symmetric model of a static baryon octet source interacting with pseudoscalar meson octet fields by the coupling of Yukawa type is considered in the strong coupling limit. Using the result derived earlier that the isobaric states form the basis of the unitary irreducible representation of the dynamical group G=T 24⊗ [SU(3) ⊗SU(2)], the mass operator is specified by the kinetic part of the Hamiltonian as a particular element of the universal enveloping algebra of the symmetry groupSU(3) ⊗SU(2) acting in the space of isobaric states.

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References

  1. BednáŘ M., Tolar J.: Nucl. Phys.B 5 (1968), 255.

    Google Scholar 

  2. Dullemond C., von der Linden F. J. M.: Ann. Phys. (N.Y.)41 (1967), 372.

    Google Scholar 

  3. Wentzel G.: Helv. Phys. Acta13 (1940), 269;14 (1941), 633.

    Google Scholar 

  4. Pauli W., Dancoff S. M.: Phys. Rev.62 (1942), 85.

    Google Scholar 

  5. Goebel C. J.: Phys. Rev. Letters16 (1966), 1130; Proc. Conf. on non-compact groups in particle physics, Milwaukee (Wisconsin) 1966.

    Google Scholar 

  6. Cook T., Sakita B.: J. Math. Phys.8 (1967), 708.

    Google Scholar 

  7. Barut A. O.: The two uses of non-compact groups in particle physics and their relations, p. 1 in Non-compact groups in particle physics. (Ed. Y. Chow.) W. A. Benjamin, Inc., New-York 1966.

    Google Scholar 

  8. Murnaghan F. D.: The unitary and rotation groups. Spartan Books, Washington D.C. 1962.

    Google Scholar 

  9. Nelson T. J.: J. Math. Phys.8 (1967), 857.

    Google Scholar 

  10. Ogieveckij V. I., Polubarinov I. V.: Yader. Fiz.4 (1966), 853.

    Google Scholar 

  11. Macfarlane A. J., Sudbery A., Weisz P. H.: Commun. Math. Phys.11 (1968), 77.

    Google Scholar 

  12. Berezin F. A.: Trudy Mosk. Matemat. Obshchestva6 (1957), 361.

    Google Scholar 

  13. Halmos P. R.: Finite-dimensional vector spaces. 2nd edition. D. Van Nostrand Comp., Inc., Princeton (N.J.) 1958.

    Google Scholar 

  14. Exner P., Tolar J.: Czech. J. Phys.B 19 (1969), 1480.

    Google Scholar 

  15. Doebner H. D., Jahn H.: citedin H. Jahn, Topical Conf. on dynamical groups and infinite multiplets, ICTP report, IC/69/54, Miramare-Trieste 1969.

  16. Melsheimer O.: Nucl. Phys.B5 (1968), 479.

    Google Scholar 

  17. Wentzel G.: Helv. Phys. Acta41 (1968), 1259.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Faculty of Nuclear Science, Czech Technical University, Prague, BŘehová 7, Praha 1, Czechoslovakia

    J. Tolar

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  1. J. Tolar
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Tolar, J. Mass operator in theSU(3)-symmetric strong coupling theory with pseudoscalar mesons. Czech J Phys 20, 1093–1106 (1970). https://doi.org/10.1007/BF01695981

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  • DOI: https://doi.org/10.1007/BF01695981

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