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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, a physical interpretation of the second level of the combinatorial hierarchy in terms of three quarks, three antiquarks, and the vacuum is proposed, which allows us to measure electromagnetic mass splitting of the quarks.
Abstract: We propose a physical interpretation of the second level of the combinatorial hierarchy in terms of three quarks, three antiquarks, and the vacuum. This interpretation allows us to introduce a new quantum number, which measures electromagnetic mass splitting of the quarks. We extend our argument by analog to baryons, and find someSU(3) and some new mass formulas for baryons. The generalization of our approach to other hierarchy levels is discussed. We present also an empirical mass formula for baryons, which seems to be loosely connected with the combinatorial hierarchy.
2 citations
25 Jul 2020
TL;DR: In this paper, a recently discovered tetraquark candidate having four charmed quarks was investigated using a first-order mass formula, based on weakly bound meson clusters.
Abstract: A recently discovered tetraquark candidate having four charmed quarks is investigated using a first-order mass formula. This mass relationship is based on weakly bound meson clusters and provides a reasonable prediction of 6300 MeV/c2 for the measured X(6900) tetraquark mass.
2 citations
TL;DR: In this paper, a mass formula for light mesons was derived by combining the results of two methods: the dominantly orbital state description and the Bohr-Sommerfeld quantization approach.
Abstract: The quark dynamics inside light mesons, except pseudoscalar ones, can be quite well described by a spinless Salpeter equation supplemented by a Cornell interaction (possibly partly vector, partly scalar). A mass formula for these mesons can then be obtained by computing analytical approximations of the eigenvalues of the equation. We show that such a formula can be derived by combining the results of two methods: the dominantly orbital state description and the Bohr-Sommerfeld quantization approach. The predictions of the mass formula are compared with accurate solutions of the spinless Salpeter equation computed with a Lagrange-mesh calculation method.
2 citations
TL;DR: In this article, the current mixing angles for the vector mesons omega, phi, and psi (3095) and the mass relations among the 16 vector meshes were determined from which the masses of the F* and D* mesons were determined.
Abstract: Spectral-function sum rules for broken SU(4) symmetry are used to obtain the current-mixing angles for the vector mesons omega, phi, and psi (3095) and the mass relations among the 16 vector mesons, from which the masses of the F* and D* mesons are determined In addition, the electron-pair partial widths of the neutral vector mesons are given (AIP)
2 citations
TL;DR: In this article, the eikonal approximation has the non-trivial features of providing falling form factors and correct relativistic mass formula for the bound-states, it can be taken as a theoretical laboratory to derive S -matrix elements of n composite particles from an underlying S-matrix element of 2 n elementary particles.
2 citations