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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, the Dirac-like equation was reformulated in phase space to yield a mass formula in satisfactory quantitative agreement with experimental data for families of baryons, and the proposed theoretical scheme gave also the possibility of calculating the radii of spin-1/2 baryon which were found to be of the order of 1 fm.
Abstract: The Dirac-like equation recently reformulated in phase space is shown to yield a mass formula in satisfactory quantitative agreement with experimental data for families of baryons. The proposed theoretical scheme gives also the possibility of calculating the radii of spin-1/2 baryons, which are found to be of the order of 1 fm.
9 citations
22 Dec 2014
TL;DR: In this article, it was shown that all the involved physics in deriving the new quantum dissection of the famous formula of special relativity is actually a pure mathematical necessity anchored in the phenomena of volume concentration of convex manifold in high dimensional quasi Banach spaces.
Abstract: Einstein’s energy mass formula is shown to consist of two basically quantum components E (O) = mc2/22 and E(D) = mc2(21/22). We give various arguments and derivations to expose the quantum entanglement physics residing inside a deceptively simple expression E = mc2. The true surprising aspect of the present work is however the realization that all the involved ‘physics’ in deriving the new quantum dissection of Einstein’s famous formula of special relativity is actually a pure mathematical necessity anchored in the phenomena of volume concentration of convex manifold in high dimensional quasi Banach spaces. Thus the present derivation plus the measurements of accelerated cosmic expansion are endophysical theoretical and experimental confirmation of Einstein but with a new quantum relativistic interpretation.
9 citations
TL;DR: In this article, a fully microscopic actinide mass formula was derived using the fermion dynamical symmetry model approximation to the spherical shell model, and the mass formula fits the masses of 322 nuclei with an RMS deviation of 0.34 MeV.
9 citations
TL;DR: In this article, a new SU(3) nonet mass formula was derived for the pseudoscalar and scalar mesons in the Nambu-Jona-Lasinio model with instanon-induced interaction.
9 citations
TL;DR: In this article, it was shown that this empirical formula admits a satisfactory S3-parametrized extension for the scale-independent pole masses of quarks and Majorana neutrinos; in particular, the top quark mass emerges as 177.698 GeV.
Abstract: All three charged lepton pole masses are given to O(10-5) accuracy by $(m_e, m_\mu, m_\tau)=(313.85773~{\rm MeV})[1+\sqrt{2}\,{\rm cos}\,\theta_k]^2$, where θk = 2πk/3 + 2/9 with the generation number k = 1, 2, 3. In the context of a Dirac model, it is shown that this empirical formula for the charged leptons admits a satisfactory S3-parametrized extension for the scale-independent pole masses of quarks and Majorana neutrinos; in particular, the top quark mass emerges as 177.698 GeV. A physical-geometrical interpretation of the mass formula supports Dirac's and Goldhaber's proposals: leptons and quarks of the same generation are identical in size and shape. Specifically, their self-interaction mass appears to be concentrated on spherical surfaces of radii $r_k =\ell\,{\rm Re}(1 +\sqrt{2}z_k)$, in which the Kahler radial complex coordinate zk is a root of the Calabi–Yau condition $z^3=\exp(\dot 2i/3)$ for the envelopment of the particle surfaces and l is a fundamental length constant.
9 citations