Abstract
We study the spectrum of a semi relativistic three-body hamiltonian. The hyperspherical method proves to be very efficient. We show that the ground states of baryons can be calculated with good accuracy. However, when using the meson potential, together with the colour assumption\(Vqq = \tfrac{1}{2}Vq\bar q\), baryon Regge slopes come out noticeably too small. We analyze this problem and show that a quarkdiquark structure for baryons cures this defect. Altogether the construction of a global unified potential model for mesons and baryons seems quite hopeful.
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J.L. Basdevant, S. Boukraa: Z. Phys. C—Particles and Fields28, 413 (1985) and further references therein
J.L. Basdevant, S. Boukraa: Semi-relativistic quark-antiquark potential models. Ann. Phys. Fr. (to be published)
A. Martin: Phys. Lett.100B, 511 (1981); A. Martin J.M. Richard: Phys. Lett.115B, 323 (1982)
J.M. Richard: Phys. Lett.100B, 515 (1981);139B, 408 (1984) and further references therein
J.M. Richard, P. Taxil: Ground state baryons in the non relativistic quark model. To be published in Ann. Phys. (N.Y.), and further references therein; Phys. Lett.128B, 453 (1983)
N. Isgur, G. Karl: Phys. Rev.D 18, 4186 (1978);D19, 2653 (1979);D20, 1191 (1979)
J. Carlson, J. Kogut, V.R. Pandharipande: Phys. Rev.D27. 233 (1983)
D.P. Stanley, D. Robson: Phys. Rev Lett.45, 235 (1980)
R.K. Badhuri, L.E. Cohler, Y. Nogami: Nuovo. Cimento65A, 376 (1981)
F. Schöberl: Z. Phys. C — Particles and Fields15, 261 (1982)
K.L. Mir, J.K. Storrow: Z. Phys. C — Particles and Fields18, 47 (1983)
L.M. Delves: Nucl. Phys.9, 391 (1959);20, 275 (1960); J.L. Ballot, M. Fabre de la Ripelle: Ann. Phys. (N. Y.)127, 62 (1980)
Yu. A. Simonov: Sov. J. Nucl. Phys.3, 161 (1966);7, 722 (1968); A.M. Badalyan, Yu. A. Simonov: Sov. J. Nucl. Phys.3, 755 (1966)
R.L. Omnès: Phys. Rev.134, B1358 (1964)
See for instance A. Robinson, J.A. Laurmann: Wing Theory. p. 193. Cambridge: University press 1958
Review of Particle Properties: April 1984 Edition, Rev. Mod. Phys.56, (1984)
A.J.C. Hey, R.L. Kelly: Phys. Rep.96, 71 (1983)
A. de Rujula, H. Georgi, S.L. Glashow: Phys. Rev.D12, 147 (1975)
D.B. Lichtenberg, E. Predazzi: Phys. Rev. Lett.48, 1653 (1982); T. Eguchi, Phys. Lett.59B, 457 (1975)
A. Martin: Regge trajectories for mesons and baryons and classical motion of quarks. Private communication
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Basdevant, J.L., Boukraa, S. Baryon masses in relativistic potential models. Z. Phys. C - Particles and Fields 30, 103–114 (1986). https://doi.org/10.1007/BF01560683
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DOI: https://doi.org/10.1007/BF01560683