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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 article, an exact geometric mass formula for superspecial points in the reduction of any quaternionic Shimura variety modulo at a good prime $p was given.
Abstract: We show an exact geometric mass formula for superspecial points in the reduction of any quaternionic Shimura variety modulo at a good prime $p$.
1 citations
TL;DR: In this paper, the impact of sub-leading-order chiral interactions on the scattering of open-beauty mesons and Goldstone bosons was studied. But the results were restricted to the open-charm sector.
Abstract: We study the scattering of open-beauty mesons and Goldstone bosons as predicted by the chiral SU(3) Lagrangian. The impact of subleading-order chiral interactions to systems with ${J}^{P}={0}^{+}$ and ${J}^{P}={1}^{+}$ quantum numbers is worked out. We estimate the relevant low-energy coefficients from the open-charm sector, for which their values have been determined previously from sets of QCD lattice data. The leading-order heavy-quark symmetry-breaking effects are estimated by matching the $B$-meson ground-state chiral mass formula to the mass formula from the heavy-quark effective theory. We make refined predictions for the flavor antitriplet and sextet resonances that are generated dynamically by coupled-channel interactions.
1 citations
TL;DR: In this paper, the authors discuss possible mass spectroscopy of vector-meson states in a color scheme, namely the SU(3)' x SU( 3) '' scheme of Han and Nambu.
Abstract: We discuss possible mass spectroscopy of vector-meson states in a color scheme, namely the SU(3)' x SU(3) '' scheme of Han and Nambu. Interesting mass formulas are derived under some dynamical assumptions. These are compared with those of Sanda and Terazawa. Two possible assignments for the psi particles (including the one at approx. 4.1 GeV) are considered. (AIP)
1 citations
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TL;DR: In this article, a previously developed lepton mass equation is extended to include the massive bosons and quarks of all three generations, and the particles are modeled as closed, string-like, light front solitons whose key quantum numbers are their node number n and their winding number omega.
Abstract: A previously developed lepton mass equation is extended to include the massive bosons and quarks of all three generations. The particles are modeled as closed, string-like, light front solitons whose key quantum numbers are their node number n and their winding number omega. The simplicity and form of the mass equation suggests that the dominant mass effect comes from how the particles embed themselves in spacetime.
1 citations
TL;DR: In this article, the algebraic formalism of chiral SU(2) is applied to the spectrum of nonstrange mesons and a mass formula valid under general conditions is derived, both with existing data and with current ideas about mass spectra such as rising Regge trajectories, meson towers and the Veneziano representation.
Abstract: The algebraic formalism of chiral $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)$ recently constructed by Weinberg is applied to the spectrum of nonstrange mesons. A mass formula valid under general conditions is derived. It is shown that some semiquantitative features of the formalism are in good agreement, both with existing data, and with current ideas about mass spectra such as rising Regge trajectories, meson towers, and the Veneziano representation. An attempt to fit known mesons into a coherent supermultiplet structure is described. Some arguments are given as to why this will probably not be possible without further assumptions. It is argued that if the theory is to be useful, it must be cast into a stronger form in which $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)$ is an approximate symmetry of the spectrum.
1 citations