Relativistic qqq spectra from Bethe-Salpeter premises

Mitra , A. N. ; Santhanan, I. (1980) Relativistic qqq spectra from Bethe-Salpeter premises Physics Letters B, 104 (1). pp. 62-66. ISSN 0370-2693

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A relativistic but three-dimensional form of the Bethe-Salpeter (BS) equation developed under the Instantaneous Approximation (ANM) for a qqq system, is solved in a closed manner under conditions of harmonic confinement. It is shown that the BS dynamics offers a built-in mechanism for explaining major symmetry-breaking effects, especially spin-spin and spin-orbit splittings using as inputs (1) a 'reduced' spring constant ω˜ and (ii) the quark mass. The model provides a very good description of the (ud) baryon spectrom in terms of the same values of ω˜ and mud as employed for qq̅ systems as well.

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