Abstract
The off-shell reciprocal bootstrap model developed by Biswas and Balázs is used to calculate the mass and coupling-constant shifts of the nucleon andΔ-resonance in a self-consistent way. It is shown that the electromagnetic corrections to theΔNΠ coupling constant play a crucial role for obtaining the correct sign of the nucleon mass difference. The effects of mass splittings of exchanged and external particles are also included. The one-photon exchange contributions to the splittings of coupling constants and masses are calculated by means of the Frautschi-Dashen perturbation method. The result of the present calculation Mp−Mn= −1·8 MeV is in rough agreement with the experimental value −1·3 MeV.
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References
Dashen R. F., Frautschi S. C.: Phys. Rev.135 (1964), B1190.
Dashen R. F.: Phys. Rev.135 (1964), B1196.
Barton G.: Phys. Rev.146 (1966), 1149.
Shaw G., Wong D.: Phys. Rev.147 (1966), 1028.
Barton G., Dare D.: Phys. Rev.150 (1966), 1220.
Barton G.: Phys. Rev.153 (1967), 1673.
Cohen S. L., Hagen C. R.: Phys. Rev.157 (1967), 1344.
Lichard P., Pišút J.: Nucl. Phys.B1 (1967), 511.
Lichard P.: Fyzikálny časopis18 (1968), 3.
Dashen R. F., Dothan Y., Frautschi S. C., Sharp D.: Phys. Rev.143 (1966), 1185; Phys. Rev.151 (1966), 1127.
Diu B., Basdevant J., Rubinstein H.: Nuovo Cimento35 (1965), 461.
Harte J.: Phys. Rev.158 (1967), 1521.
Schwarz J. H.: Phys. Rev.152 (1966), 1325.
Biswas S. N., Balázs L. A. P.: Phys. Rev.156 (1967), 1511.
Lichard P.: Nucl. Phys.B8 (1968), 339.
Olsson M. G.: Phys. Rev. Letters14 (1965), 118.
Gidal G., Kernan A., Kim S.: Phys. Rev.141 (1966), 1261.
Weinberg S., Treiman S. B.: Phys. Rev.116 (1959), 465.
Glashow S.: Phys. Rev.130 (1963), 2132.
Cutkosky R., Tarjanne P.: Phys. Rev.132 (1963), 1355.
Cutkosky R., Tarjanne P.: Phys. Rev.133 (1964), B1292.
Dashen R. F., Frautschi S. C.: Phys. Rev.137 (1965), B1331.
Henyey F. S.: Phys. Rev.160 (1967), 1449.
Bondyopadhyay D., Biswas S. N., Saxena R. P.: Phys. Rev.160 (1967), 1272.
Riazuddin: Nucl. Phys.7 (1958), 223.
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This work was done in part under Contract No. SjF 68/16.
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Lichard, P. Electromagnetic mass and coupling-constant shifts ofN and Δ (1238) in a bootstrap model. Czech J Phys 19, 730–747 (1969). https://doi.org/10.1007/BF01697129
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DOI: https://doi.org/10.1007/BF01697129