Topic
Mass formula
About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.
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TL;DR: In this article, a systematic study of the reactions P8P8 → P8V9 with V9T9 intermediate trajectories yields a system of 13 equations whose solution contains exchange degeneracy of the trajectories, the mass formula mA22 = 3 (mϱ2 −mπ2), decoupling of the Pomeranchuk to PT, g ϱπφ ≈ 0, g f ∗ππ ≈0, and strong restrictions on possible SU3 representations suggesting a reciprocal bootstrap of the T9 and V9 trajectories
4 citations
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TL;DR: In this article, the authors consider the field-theoretic model of a scalar quark field which is subjected to a strong self-coupling in a finite domain of a three-dimensional lattice space.
Abstract: Various aspects of quark confinement are considered. First, we show in the context of potential theory that steep confinement potentials lead to mass formulas which are similar to those obtained for confining boundary constraints imposed on the free quark motion. We then consider the field-theoretic model of a scalar quark field which is subjected to a strong self-coupling in a finite domain of a three-dimensional lattice space. We show that the strong self- coupling prevents the quark field from spreading easily, but that by itself it does not suffice to confine quarks. A confinement constraint or equivalent potential is still required. We also show that the mass of a single quark grows with increasing self-coupling and becomes infinite in the continuum limit (thus necessitating the use of the lattice). (AIP)
4 citations
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4 citations
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TL;DR: In this article, the formulation of manifestly covariant relativistic statistical mechanics as the description of an ensemble of events in spacetime parametrized by an invariant proper-time τ is reviewed.
Abstract: The formulation of manifestly covariant relativistic statistical mechanics as the description of an ensemble of events in spacetime parametrized by an invariant proper-time τ is reviewed. The linear and cubic mass spectra, which result from this formulation (the latter with the inclusion of anti-events) as the actual spectra of an individual hadronic multiplet and hot hadronic matter, respectively, are discussed. These spectra allow one to predict the masses of particles nucleated to quasi-levels in such an ensemble. As an example, the masses of the ground-state mesons and baryons are considered; the results are in excellent agreement with the measured hadron masses. Additivity of inverse Regge slopes is established and shown to be consistent with available experimental data on the D meson and Λc baryon production.
4 citations
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TL;DR: In this paper, two proofs of the mass formula for definite central division algebras over global function fields have been given, one based on a calculation of Tamagawa measures and the other based on analytic methods.
4 citations