Baryon wave functions and free neutron decay in the scalar strong interaction hadron theory (SSI)

Author(s)
F. C. Hoh

ABSTRACT

From the equations of motion for baryons in the scalar strong interaction hadron theory (SSI), two coupled third order radial wave equations for baryon doublets have been derived and published in 1994. These equations are solved numerically here, using quark masses obtained from meson spectra and the masses of the neutron, ?0 and ?0 as input. Confined wave functions dependent upon the quark-diquark distance as well as the values of the four integration constants entering the quark-diquark interaction potential are found approximately. These approximative, zeroth order results are employed in a first order perturbational treatment of the equations of motion for baryons in SSI for free neutron decay. The predicted magnitude of neutron’s half life agrees with data. If the only free parameter is adjusted to produce the known A asymmetry coefficient, the predicted B asymmetry agrees well with data and vice versa. It is pointed out that angular momentum is not conserved in free neutron decay and that the weak coupling constant is detached from the much stronger fine structure constant of electromagnetic coupling.

From the equations of motion for baryons in the scalar strong interaction hadron theory (SSI), two coupled third order radial wave equations for baryon doublets have been derived and published in 1994. These equations are solved numerically here, using quark masses obtained from meson spectra and the masses of the neutron, ?0 and ?0 as input. Confined wave functions dependent upon the quark-diquark distance as well as the values of the four integration constants entering the quark-diquark interaction potential are found approximately. These approximative, zeroth order results are employed in a first order perturbational treatment of the equations of motion for baryons in SSI for free neutron decay. The predicted magnitude of neutron’s half life agrees with data. If the only free parameter is adjusted to produce the known A asymmetry coefficient, the predicted B asymmetry agrees well with data and vice versa. It is pointed out that angular momentum is not conserved in free neutron decay and that the weak coupling constant is detached from the much stronger fine structure constant of electromagnetic coupling.

Cite this paper

Hoh, F. (2010) Baryon wave functions and free neutron decay in the scalar strong interaction hadron theory (SSI).*Natural Science*, **2**, 929-947. doi: 10.4236/ns.2010.29115.

Hoh, F. (2010) Baryon wave functions and free neutron decay in the scalar strong interaction hadron theory (SSI).

References

[1] Hoh, F.C. (1993) Spinor strong interaction model for meson spectra. International Journal of Theoretical Physics, 32(7), 1111-1133.

[2] Hoh, F.C. (1994) Spinor strong interaction model for baryon spectra. International Journal of Theoretical Physics, 33(12), 2325-2349.

[3] Hoh, F.C. (2010) Scalar strong interaction hadron the- ory, Nova Science Publishers.

[4] Hoh, F.C. (2010) Gauge boson mass generation—wi- thout Higgs- in the scalar strong interaction hadron theory. Natural Science, 2(4), 398-401.

http://www.scirp.org/journal/ns

[5] Hoh, F.C. (2010) Scalar strong interaction hadron theory(ssi)--kaon and pion decay. In: Columbus, F., Ed., Hadrons: Properties, Interactions, and Production, Nova Science Publishers.

[6] Hoh, F.C. (1999) Normalization in the spinor strong interaction theory and strong decay of vector meson V?PP. International Journal of Theoretical Physics, 38(10), 2617-2645.

[7] Hoh, F.C. (2007) Epistemological and historical implications for elementary particle physics. International Jour- nal of Theoretical Physics, 46(2), 269-299.

[8] Hoh, F. C. (1996) Meson classification and spectra in the spinor strong interaction theory. Journal of Physics, G22, 85-98.

[9] Amsler, C., et al. (2008) Particle data group. Physics Letters, B667, 1.

[10] K?llén, G. (1964) Elementary particle physics. Addison-Wesley, Reading.

[11] Jackson, J.D., Treiman, S.B. and Wyld, H.W., Jr. (1957) Possible tests of time reversal invariance in ? decay. Physical Review, 106(3), 517-521.

[12] Lising, L.J., et al. (2000) New Limit on the D coefficient in polarized neutron decay. Physical Review, C62, 055501.

[13] Laporte, O. and Uhlenbeck, G.E. (1931) Applications of spinor analysis to the Maxwell and Dirac equations. Physical Review, 37(11), 1380-1397.

[14] Lee, T.D. and Yang, C.N. (1956) Question of parity conservation in weak interactions. Physical Review, 104(1), 254-258.

[15] Schreckenbach, K., et al. (1995) A new measurement of the beta emission asymmetry in the free decay of polarized neutrons. Physics Letters, B349(4), 427-432.

[16] Sromicki, J., et al. (1996) Study of time reversal violation on beta decay of polarized Li. Physical Review, C53, 932-955.

[1] Hoh, F.C. (1993) Spinor strong interaction model for meson spectra. International Journal of Theoretical Physics, 32(7), 1111-1133.

[2] Hoh, F.C. (1994) Spinor strong interaction model for baryon spectra. International Journal of Theoretical Physics, 33(12), 2325-2349.

[3] Hoh, F.C. (2010) Scalar strong interaction hadron the- ory, Nova Science Publishers.

[4] Hoh, F.C. (2010) Gauge boson mass generation—wi- thout Higgs- in the scalar strong interaction hadron theory. Natural Science, 2(4), 398-401.

http://www.scirp.org/journal/ns

[5] Hoh, F.C. (2010) Scalar strong interaction hadron theory(ssi)--kaon and pion decay. In: Columbus, F., Ed., Hadrons: Properties, Interactions, and Production, Nova Science Publishers.

[6] Hoh, F.C. (1999) Normalization in the spinor strong interaction theory and strong decay of vector meson V?PP. International Journal of Theoretical Physics, 38(10), 2617-2645.

[7] Hoh, F.C. (2007) Epistemological and historical implications for elementary particle physics. International Jour- nal of Theoretical Physics, 46(2), 269-299.

[8] Hoh, F. C. (1996) Meson classification and spectra in the spinor strong interaction theory. Journal of Physics, G22, 85-98.

[9] Amsler, C., et al. (2008) Particle data group. Physics Letters, B667, 1.

[10] K?llén, G. (1964) Elementary particle physics. Addison-Wesley, Reading.

[11] Jackson, J.D., Treiman, S.B. and Wyld, H.W., Jr. (1957) Possible tests of time reversal invariance in ? decay. Physical Review, 106(3), 517-521.

[12] Lising, L.J., et al. (2000) New Limit on the D coefficient in polarized neutron decay. Physical Review, C62, 055501.

[13] Laporte, O. and Uhlenbeck, G.E. (1931) Applications of spinor analysis to the Maxwell and Dirac equations. Physical Review, 37(11), 1380-1397.

[14] Lee, T.D. and Yang, C.N. (1956) Question of parity conservation in weak interactions. Physical Review, 104(1), 254-258.

[15] Schreckenbach, K., et al. (1995) A new measurement of the beta emission asymmetry in the free decay of polarized neutrons. Physics Letters, B349(4), 427-432.

[16] Sromicki, J., et al. (1996) Study of time reversal violation on beta decay of polarized Li. Physical Review, C53, 932-955.