- Access by Xinjiang University
Wave-function mixing of flavor-degenerate baryons
Phys. Rev. D 24, 2910 – Published 1 December, 1981
DOI: https://doi.org/10.1103/PhysRevD.24.2910
Abstract
There are two baryons at the center of an octet weight diagram of S both of which contain the same quarks. We call these baryons "flavor degenerate." We discuss the symmetry of the wave functions of these baryons in terms of a quark-ordering principle and a mixing angle. We explore the consequences of the mixing on predictions of the masses and magnetic moments of flavor-degenerate baryons, including baryons containing heavy quarks. We obtain a simple approximate expression for the mixing angles in terms of the quark masses. The mixing angles turn out to be rather small, but still change some of the calculated magnetic moments substantially. The effect of mixing on the baryon masses is much smaller.
References (34)
- A. D. Sakharov, Pis'ma Zh. Eksp. Teor. Fiz. 21, 554 (1975) Lebedev Physics Institute report, 1980, available as SLAC translation Report No. 0191, 1980 (unpublished)
- J. Franklin, Phys. Rev. D 12, 2077 (1975)
- A. W. Hendry and D. B. Lichtenberg, Phys. Rev. D 12, 345 (1977)
- L.-H. Chan, Phys. Rev. D 15, 2478 (1977)
- L. A. Copley, N. Isgur, and G. Karl, Phys. Rev. D 20, 768 (1979) ibid.23, 817(E) (1981)
- M. O'Neill and C. S. Kalman, Lett. Nuovo Cimento 27, 481 (1980)
- K. Maltman and N. Isgur, Phys. Rev. D 22, 1701 (1980)
- D. B. Lichtenberg, Phys. Rev. D 15, 345 (1977)
- R. J. Johnson and M. Shah-Jahan, Phys. Rev. D 15, 1400 (1977)
- C. P. Singh, S. Kanwar, and M. P. Khanna, Phys. Rev. D 23, 793 (1981)
- G. Dattoli, R. Mignani, and D. Prosperi, Lett. Nuovo Cimento 22, 147 (1978) ibid.22, 639 (1978) ibid.25, 38 (1979)
- P. Camiz, G. Dattoli, R. Mignani, and D. Prosperi, Nuovo Cimento 49A, 429 (1979)
- A. L. Choudhury, Acta Phys. Pol. B9, 945 (1978)
- S. K. Bose, Acta Phys. Austriaca 52, 53 (1980)
- G. Morpurgo, Phys. (N.Y.) 2, 95 (1965)
- W. Thirring, Acta Phys. Austriaca Suppl. II, 205 (1965)
- H. R. Rubinstein, F. Scheck, and R. H. Socolow, Phys. Rev. 154, 1608 (1967)
- J. Franklin, Phys. Rev. 172, 1807 (1968)
Omitted endnote
- L. Schachinger et al., Phys. Rev. Lett. 41, 1348 (1978)
- A. L. Choudhury and V. Joshi, Phys. Rev. D 13, 3120 (1976)
- S. Iwar, Prog. Theor. Phys. 55, 943 (1976)
- S. Meshkov, C. A. Levinson, and H. J. Lipkin, Phys. Rev. Lett. 10, 631 (1963)
- O. W. Greenberg, Phys. Rev. Lett. 13, 598 (1964) M. Y. Han and Y. Nambu, Phys. Rev. 139, B1006 (1965)
Omitted endnote
- P. Federman, H. R. Rubinstein, and I. Talmi, Phys. Lett. 22, 208 (1966)
- A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1975)
- Ya. B. Zel'dovich and A. D. Sakharov, Yad. Fiz. 4, 395 (1966)
- H. Lipkin, Phys. Rev. Lett. 41, 1629 (1978)
- [8]
- A. J. Macfarlane and E. C. G. Sudarshan, Nuovo Cimento 31, 1176 (1964)
- R. H. Dalitz and F. Von Hippel, Phys. Lett. 10, 153 (1964)
- N. Isgur, Phys. Rev. D 21, 779 (1980) ibid.23, 817(E) (1981)
- N. Isgur and G. Karl, Phys. Rev. D 21, 3175 (1980)