New Formulas Relating the Masses of Some Baryons and Mesons

نویسندگان

  • D. B. Lichtenberg
  • R. Roncaglia
چکیده

Sum rules relating the masses of ground-state baryons and mesons are obtained in a constituent quark model. The interaction is assumed to be independent of quark spins except for a spin-dependent part that can be treated as a perturbation. Where data are available, the sum rules agree with experiment to better than 1%. In this work we consider meson and baryon masses using a Hamiltonian formalism within the framework of the constituent quark model. We do not assume any particular functional form for the spin-independent part of the Hamiltonian. However, we treat the spin-dependent part as a perturbation, and we confine ourselves to ground-state hadrons, so that the spin dependence arises from the spin-spin or colormagnetic term. With these modest inputs plus an additional approximation (to be discussed later), we are able to obtain three sum rules relating the masses of certain baryons and mesons. Two of these sum rules agree with experiment to better than 1% and the third remains to be tested. In the constituent quark model, the mass of a hadron can be written as the sum of the masses of its constituent quarks plus an interaction energy.

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تاریخ انتشار 1995