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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 paper, the saddle point expansion of the lattice Gross-Neveu model with staggered fermions is performed and the exact solution in the limit of an infinite number of components (flavours) is used to discuss finite-size effects and the approach to scaling.
14 citations
TL;DR: It is found that a second-order chiral-restoring transition implies asecond-order behavior for the {rho} mass even if the value of the gluon condensate is unaffected by the transition.
Abstract: We propose using the finite-temperature {rho}-meson mass as an order parameter to monitor the QCD transition. This is suggested by the {rho}-meson mass formula that emerges from finite-temperature QCD sum rules in the vector channel, and which encompasses the effects of both quark and gluon condensates. We find that a second-order chiral-restoring transition implies a second-order behavior for the {rho} mass even if the value of the gluon condensate is unaffected by the transition.
14 citations
TL;DR: In this paper, a unique model for a fermion antifermion pair interacting through Dirac oscillator interaction in the presence of external uniform magnetic field is introduced, and a non perturbative energy spectrum for such a system is obtained.
Abstract: We introduce a unique model for a fermion antifermion pair interacting through Dirac oscillator interaction in the presence of external uniform magnetic field. In order to acquire a non perturbative energy spectrum for such a system we solve the corresponding form of a fully covariant two body Dirac equation. The dynamic symmetry of the system allows to study in three dimensions and the corresponding equation leads a $4\times4$ dimensional matrix equation for such a static and spinless composite system. We can obtain an exact solution of the matrix equation and arrive at a spectrum (in closed form) in energy domain. The obtained energy spectrum shows that the composite system that under scrutiny behaves like a single relativistic quantum oscillator. As a result, we obtain relativistic Landau levels of a fermion antifermion pair interacting through Dirac oscillator interaction and determine the components of the corresponding bi-spinor. We think that our results can provide enlightening informations about the quark antiquark systems and thus mass formula for mesons.
14 citations
TL;DR: In this article, the Meson mass formula of Borchardt-Mathur-Okubo type is generalized to broken SU N in a form suitable for computer calculation, and the result is applied to SU 5 and SU 6 cases, by assuming two possible assignments: (1) 3.95 or upsilon 5.97 GeV is the new lowest state of J PC = 1 −− member of SU 5 symmetry, and (2)
14 citations
TL;DR: In this article, the authors present regions of stability for multi-strange hadronic systems, made up of nucleons and hyperons {p, n, Λ, Ξ 0, Ξ−, ξ − 0.1 to 0, with baryon densities 2 − 3 times that of ordinary nuclear matter.
14 citations