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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 authors attributed the quantization of elementary particles to the dynamics described by the internal space-time variables and their corresponding 4-momenta, and defined a mass operator, which met all of the requirements of the principle of reciprocity and relativistic covariance.
Abstract: The quantization of elementary particles was attributed to the dynamics described by the internal space-time variables and their corresponding 4-momenta. A mass operator was defined, which met all of the requirements of the principle of reciprocity and relativistic covariance. The center-of-mass kinematics were given in the Klein-Gordon form. The mass eigenvalue equation was solved, and led to a quantized mass formula. The development of the theory revealed some basic properties of a bilocal field associated with elementary particles. (C.E.S.)
6 citations
TL;DR: In this article, a generalized effective mass approximation was used to simplify the wave equation and the particle interaction was taken to be a separable Yamaguchi potential with an Sstate hard shell.
Abstract: A general method is derived for extending the manybody formalism of Martin and Schwinger to macroscopic inhomogeneous systems. This method is applied to the Puff-Martin approximation for nuclear matter and used to compute the properties of a plane nuclear surface. An iterative self-consistency computation is used, and a generalized effective-mass approximation is imposed to simplify the wave equation. The particle interaction is taken to be a separable Yamaguchi potential with an Sstate hard shell. The results show a smoothly varying density and self-energy, with a surface thickness of 2.33 F. A calculation of the surface energy term in the Weizsacker semiempirical mass formula gives 18.79 Mev. (auth)
6 citations
TL;DR: In this paper, a five-parametric exact solution, describing a binary system composed of identical counterrotating black holes endowed with opposite electromagnetic charges, is constructed, where the addition of the angular momentum parameter to the static Emparan-Teo dihole model introduces magnetic charges into this two-body system.
Abstract: A five-parametric exact solution, describing a binary system composed of identical counterrotating black holes endowed with opposite electromagnetic charges, is constructed. The addition of the angular momentum parameter to the static Emparan-Teo dihole model introduces magnetic charges into this two-body system. The solution can be considered as an extended model for describing generalized black diholes as dyons. We derive the explicit functional form of the horizon half-length parameter $\ensuremath{\sigma}$ as a function of the Komar parameters: Komar mass $M$, electric/magnetic charge ${Q}_{E}/{Q}_{B}$, angular momentum $J$, and a coordinate distance $R$, where ${Q}_{E}l0$, $Jg0$ for the upper constituent and ${Q}_{E}g0$, $Jl0$ for the lower one. The addition of magnetic charges enhances the standard Smarr mass formula in order to take into account their contribution to the mass. The solution contains, as particular cases, two solutions already discussed in the literature.
6 citations
TL;DR: In this article, the critical behavior observed in numerical studies of gravitational collapse was studied. But the critical behaviour was not observed in the case of black holes, which is not the case in this paper.
Abstract: We give an approach to studying the critical behaviour that has been observed in numerical studies of gravitational collapse. These studies suggest, among other things, that black holes initially form with infinitesimal mass. We show generally how a black hole mass formula can be extracted from a transcendental equation.
Using our approach, we give an explicit one parameter set of metrics that are asymptotically flat and describe the collapse of apriori unspecified but physical matter fields. The black hole mass formula obtained from this metric exhibits a mass gap - that is, at the onset of black hole formation, the mass is finite and non-zero.
6 citations
TL;DR: Chatterjee et al. as mentioned in this paper proposed an approximate expression for the diffuseness and the surface energy of asymmetric nuclei and obtained a precision of better than 200 kV per nucleon in the determination of the nuclear binding energy for dripline nuclei.
Abstract: Properties of the nuclear medium M Baldo and G F Burgio-Estimating the relevance of predictions from the Skyrme-Hartree-Fock model P-G Reinhard-Recent citations Nuclear skin and the curvature of the symmetry energy Ad. R. Raduta and F. Gulminelli-Constraints on the nuclear equation of state from nuclear masses and radii in a Thomas-Fermi meta-modeling approach D. Chatterjee et al-This content was downloaded from IP address 192.93.53.6 on 17/03 Abstract We have recently addressed the problem of the determination of the nuclear surface energy for symmetric nuclei in the framework of the extended Thomas-Fermi (ETF) approximation using Skyrme functionals. We presently extend this formalism to the case of asymmetric nuclei and the question of the surface symmetry energy. We propose an approximate expression for the diffuseness and the surface energy. These quantities are analytically related to the parameters of the energy functional. In particular, the influence of the different equation of state parameters can be explicitly quantified. Detailed analyses of the different energy components (local/non-local, isoscalar/iso-vector, surface/curvature and higher order) are also performed. Our analytical solution of the ETF integral improves previous models and leads to a precision of better than 200keV per nucleon in the determination of the nuclear binding energy for dripline nuclei.
6 citations