Mass formula

About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.

Strong Effective Coupling, Meson Ground States, and Glueball within Analytic Confinement

Abstract: The phenomena of strong running coupling and hadron mass generating have been studied in the framework of a QCD-inspired relativistic model of quark-gluon interaction with infrared-confined propagators We derived a meson mass equation and revealed a specific new behavior of the mass-dependent strong coupling α ^ s ( M ) defined in the time-like region A new infrared freezing point α ^ s ( 0 ) = 103198 at origin has been found and it did not depend on the confinement scale Λ > 0 Independent and new estimates on the scalar glueball mass, ‘radius’ and gluon condensate value have been performed The spectrum of conventional mesons have been calculated by introducing a minimal set of parameters: the masses of constituent quarks and Λ The obtained values are in good agreement with the latest experimental data with relative errors less than 18 percent Accurate estimates of the leptonic decay constants of pseudoscalar and vector mesons have been performed

Mass chains of light hypernuclei and separation energies of mirror hypernuclei from BWMH mass formula

Abstract: In this work, by using generalized semi-empirical mass formula, decay chains of light hypernuclei for odd-A and even-A are calculated and the unstable hypernuclei of mass chains are presented. The ...

Divergence equations and uniqueness theorem of static black holes

Abstract: Equations of divergence type in static spacetimes play a significant role in the proof of uniqueness theorems of black holes. We generalize the divergence equation originally discovered by Robinson in four dimensional vacuum spacetimes into several directions. We find that the deviation from spherical symmetry is encoded in a symmetric trace-free tensor $H_{ij}$ on a static timeslice. This tensor is the crux for the construction of the desired divergence equation, which allows us to conclude the uniqueness of the Schwarzschild black hole without using Smarr's integration mass formula. In Einstein-Maxwell(-dilaton) theory, we apply the maximal principle for a number of divergence equations to prove the uniqueness theorem of static black holes. In higher $(n\ge 5)$ dimensional vacuum spacetimes, a central obstruction for applicability of the current proof is the integration of the $(n-2)$-dimensional scalar curvature over the horizon cross-section, which has been evaluated to be a topological constant by the Gauss-Bonnet theorem for $n=4$. Nevertheless, it turns out that the $(n-1)$-dimensional symmetric and traceless tensor $H_{ij}$ is still instrumental for the modification of the uniqueness proof based upon the positive mass theorem, as well as for the derivation of the Penrose-type inequality.