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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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01 Jan 1981
TL;DR: The variational theory is well suited for calculating the nuclear mass formula for a given nucleon-nucleon potential as discussed by the authors, and independent check of the available variational calculations on light nuclei is then possible; however, accurate estimates of the symmetry-energy energy contributions are required
Abstract: The variational theory is well suited for calculating the nuclear mass formula for a given nucleon-nucleon potential An independent check of the available variational calculations on light nuclei is then possible; however, accurate estimates of the symmetry-energy energy contributions are required
TL;DR: In this paper, a mass formula for a nine-dimensional representation of the Schwinger group W(3) was derived for a Bose field and a Fermi field.
Abstract: Schwinger's group W(3) is used to classify bosons as states consisting of two fundamental Fermi fields and a single Bose field. These states cannot decay into ordinary mesons, and in this sense they may be identified with charmed particles. A mass formula is derived for a nine-dimensional representation of the Schwinger group.
TL;DR: From an injective map between the mass of the meson 16-plet and the eigenvalue of the right multiplication in the Cayley-Dickson algebra, the authors obtained the mass formula as 2 m{D_s} = m{eta_c} + m_{eta'}, which is in excellent agreement with experiment.
Abstract: From an injective map between the mass of the meson 16-plet and the eigenvalue of the right multiplication in the Cayley-Dickson algebra, we obtain the mass formula as 2 m_{D_s} = m_{eta_c} + m_{eta'}, which is in excellent agreement with experiment.
Posted Content•
09 Nov 2009
TL;DR: In this article, the authors analyzed the Mass Varying Neutrino (MaVaN) scenario at the background (mean field) level, mainly in the framework of the finite-temperature quantum field theory.
Abstract: We analyze the Mass Varying Neutrino (MaVaN) scenario at the background (mean-field) level, mainly in the framework of the finite-temperature quantum field theory. We study the Dark Energy (DE) – Dark Matter (DM) interactions by considering a minimal model of the massless Dirac fermions coupled to the scalar field. We demonstrate that the mass equation we found has non-trivial solutions only for special classes of the potentials and only within certain temperature intervals. We give most of the results for the Ratra-Peebles DE potential. The thermal (temporal) evolution of the model is analyzed. Following the time arrow, the stable, metastable and unstable phases are predicted. The model predicts that the present Universe is below its critical temperature. At that critical point the Universe undergoes a first-order phase transition from the (meta)stable oscillatory regime to the unstable rolling regime of the DE field. This conclusion agrees with the original idea of the quintessence as a force making the Universe to roll towards its true vacuum with zero �-term. The present MaVaN scenario is free from the coincidence problem, since both the DE density and the neutrino mass are determined by the scale M of the potential. Choosing M � 10 −3 eV to match the present DE density, we obtain the present neutrino mass within the range m � 10 −2 − 10 −1 eV and the consistent estimates for critical temperature of the Universe.
Posted Content•
TL;DR: In this article, consistent heterotic orbifold compactifications, including non-perturbative information, can be constructed using modular invariance constraints, and the perturbative massless sector can be computed explicitly from the perturbed mass formula subject to an extra shift in the vacuum energy.
Abstract: We indicate how consistent heterotic orbifold compactifications, including non perturbative information, can be constructed. We first analyse the situation in six dimensions, N=1, where strong coupling effects, implying the presence of five branes, are better known. We show that anomaly free models can be obtained even when usual modular invariance constraints are not satisfied. The perturbative massless sector can be computed explicitly from the perturbative mass formula subject to an extra shift in the vacuum energy. Explicit examples in D=4, N=1 are presented. Generically, examples exhibit non perturbative transitions leading to gauge enhancement and/or changing the number of chiral generations.