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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 mesons as bound states of quark and anti-quark in the framework of a relativistic potential model are studied, where the interaction of constituents in bound state is described by the Lorentz-scalar QCD inspired funnel-type potential with the coordinate dependent strong coupling, {\alpha}S(r).
Abstract: Mesons as bound states of quark and anti-quark in the framework of a relativistic potential model are studied. Interaction of constituents in bound state is described by the Lorentz-scalar QCD inspired funnel-type potential with the coordinate dependent strong coupling, {\alpha}S(r). Lagrangian relativistic mechanics is used to derive the main dynamic two particle equation of motion. On this basis, relativistic two body wave equation is derived. Solution of the equation for the system in the form of a standing wave is obtained. Two exact asymptotic expressions for the meson squared mass are obtained and used to derive the meson universal mass formula. Light and heavy meson mass spectra are calculated.
3 citations
TL;DR: In this paper, the energy gap of the basic fermion and the bosonic collective modes was shown to be a function of the SU(3) substructure in the U (15 30 ) graded Lie group.
3 citations
01 May 2008
TL;DR: The Lie superalgebra u(4|4) as mentioned in this paper is used to classify cluster states in light nuclei by means of a mass formula based on a particular chain of subalgebras.
Abstract: The Lie superalgebra u(4|4) is proposed and used to classify cluster states in light nuclei by means of a mass formula based on a particular chain of subalgebras. The building blocks, n,p,d and α particles are the superpartners corresponding to the totally supersymmetric N = 1 IRREP of u(4|4). A number of states of other nuclei (from 5He to 16O) are interpreted as cluster configurations formed by 2 or more building blocks and corresponding to N = 2, 3, ... and their energy is reproduced to a reasonable accuracy. The u(4|4) cluster supersymmetry seems therefore to be approximately realized in nature since it accommodates in a single scheme many nuclear states pertaining to different even and odd isotopes. This furnishes a second important example of supersymmetry in nuclear physics.
3 citations
TL;DR: In this article, a mass formula for asymptotically locally Euclidean Kahler manifolds was proved, assuming only relatively weak fall-off conditions on the metric.
Abstract: In the author’s previous joint work with Hein (Commun Math Phys 347:183–221, 2016), a mass formula for asymptotically locally Euclidean Kahler manifolds was proved, assuming only relatively weak fall-off conditions on the metric. However, the case of real dimension 4 presented technical difficulties that led us to require fall-off conditions in this special dimension that are stronger than the Chruściel fall-off conditions that sufficed in higher dimensions. Nevertheless, the present article shows that techniques of four-dimensional symplectic geometry can be used to obtain all the major results of Hein-LeBrun
(2016), assuming only Chruściel-type fall-off. In particular, the present article presents a new proof of our Penrose-type inequality for the mass of an asymptotically Euclidean Kahler manifold that only requires this very weak metric fall-off.
3 citations
TL;DR: In this paper, a mass formula for SU4 representations is derived for the mass splittings of a general SU4 multiplet into SU3 multiplets, where Hs = H 0+H 2 and H 2 behaves under SU4 like its SU3-scalar generator.
Abstract: Some properties of SU4 representations are studied with a view to discussing mass formulae. Taking Hs=H0+H2, where H0 is SU4-scalar and H2 behaves under SU4 like its SU3-scalar generator, a mass formula is derived for the mass splittings of a general SU4 multiplet into SU3 multiplets. Simplification of this for certain important subclasses of SU4 representations is noted.
3 citations