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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, a universal upper bound relating the maximal electric charge of a weakly self-gravitating system to its total mass was proposed, where Z is the number of protons in the system, A is the total baryon (mass) number, and is the dimensionless fine-structure constant.
Abstract: Arguing from the cosmic censorship principle, one of the fundamental cornerstones of black-hole physics, we have recently suggested the existence of a universal upper bound relating the maximal electric charge of a weakly self-gravitating system to its total mass: , where Z is the number of protons in the system, A is the total baryon (mass) number, and is the dimensionless fine-structure constant. In order to test the validity of this suggested bound, we here explore the functional relation of atomic nuclei as deduced from the Weizsacker semi-empirical mass formula. It is shown that all atomic nuclei, including the meta-stable maximally charged ones, conform to the suggested charge–mass upper bound. Our results support the validity of the cosmic censorship conjecture in black-hole physics.
23 citations
TL;DR: In this paper, the results obtained by Yabu and Ando treating the symmetry breaking exactly can be easily reproduced by perturbation theory, carried out to next to leading order.
23 citations
TL;DR: In this paper, a relation between the Artin conductor and the weight coming from the motivic integration over wild Deligne-Mumford stacks was studied, and some version of the McKay correspondence was shown to relate Bhargava's mass formula for extensions of a local field and the Hilbert scheme of points.
Abstract: We study a relation between the Artin conductor and the weight coming from the motivic integration over wild Deligne-Mumford stacks. As an application, we prove some version of the McKay correspondence, which relates Bhargava's mass formula for extensions of a local field and the Hilbert scheme of points.
23 citations
TL;DR: The mass excess of the proton-rich nucleus was measured with the JYFLTRAP Penning trap setup as discussed by the authors, and by combining the value to existing experimental data, they have tested the validity of the isobaric multiplet mass equation for the $T=3/2$ quartet in the $A=23$ isobar.
Abstract: The mass excess of the proton-rich nucleus $^{23}\mathrm{Al}$ has been measured with the JYFLTRAP Penning trap setup. As a result of our experiment we obtain a mass excess of 6748.07(34) keV, and by combining the value to existing experimental data we have tested the validity of the isobaric multiplet mass equation $(\mathrm{IMME})$ for the $T=3/2$ quartet in the $A=23$ isobar. The fit to the IMME results in a vanishing cubic term equivalent to zero with high precision [$0.22(42)$ keV].
23 citations
TL;DR: In this paper, the Chandrasekhar limit for stars described by a linear equation of state (describing quark matter with density-dependent quark masses) is evaluated.
Abstract: The Chandrasekhar limit for strange stars described by a linear equation of state (describing quark matter with density-dependent quark masses) is evaluated. The maximum mass and radius of the star depend on the fundamental constants and on the energy density of the quark matter at zero pressure. By comparing the expression for the mass of the star with the limiting mass formula for a relativistic degenerate stellar configuration one can obtain an estimate of the mass of the strange quark.
23 citations