Abstract
The J = (3/2) Δ, J = 1/2 Nucleon mass difference shows the quark energies can be spin dependent. It is natural to expect that the quark wave functions also depend on spin. A spin-dependent quark force is fitted to the proton and neutron magnetic moments, axial charge, and spin content using a (1/2+)3 configuration for the quarks and assuming only zero mass u and d quarks are in the nucleon. In the octet, such spin-dependent forces lead to different wave functions for quarks with spin parallel or antiparallel to the nucleon spin. The eigen-energy of this potential is 0.15 GeV higher for quark spin parallel than for the quark spin antiparallel to the proton spin. This potential predicts a single quark energy of 0.37 GeV for mass-less quarks in the Delta. Assuming the quark forces are flavor independent, this potential predicts magnetic moments of a bound strange quark to be very close to those determined empirically from the octet magnetic moments.
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REFERENCES
Abe, S. and Fujita, T. (1987). Nuclear Physics A 475, 657.
Balitsky, I. and Ji, X. (1997). Physical Review Letters 79, 1225.
Close, F. E. and Roberts, R. G. (1993). Physics Letters B 316, 165
Franklin, J. (1999). Modern Physics Letters A 14, 2409-2411.
Hagiwara, K., et al., (2002). Particle data group. Physical Review D: Particles and Fields 66, 010001.
Hughes, E. W. and Voss, R. (1999). Annual Reviews of Nuclear and Particle Science 49, 303-339.
Lipkin, H. J. (1971). Physics Letters B 35, 534.
Lipkin, H. J. (1990). Physics Letters B 251, 613-617.
Povh, B., Rith, K., Scholz, C., and Zetsche, F. (1999). Particles and Nuclei, 2nd edn., Springer publishers, Berlin.
Silvestre-Brac, B. (1997). Few Body Systems 23, 15-37.
Strobel, G. L. (1998). International Journal of Theoretical Physics 37, 2001.
Strobel, G. L. (2001). International Journal of Theoretical Physics 40, 2029.
Strobel, G. L. (2002a). International Journal of Modern Physics 11, 71.
Strobel, G. L. (2002b). International Journal of Theoretical Physics 41, 903.
Strobel, G. L. and Hughes, C. A. (1987). Few Body Systems 2, 155.
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Strobel, G.L. Spin-Dependent Forces and Current Quark Masses. International Journal of Theoretical Physics 42, 523–529 (2003). https://doi.org/10.1023/A:1024489832439
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DOI: https://doi.org/10.1023/A:1024489832439