Mass formula

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

A new mass formula for ng bosons in qcd

Abstract: An oftenly used mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate , fπ and the quark current masses. We argue, within the context of the global color model to QCD, that this expression is wrong. Analysis of the interplay between the Dyson-Schwinger equation for the constituent quark effect and the Bethe-Salpeter equation for the NG boson results in a new mass formula.

Mass of asymptotically flat 3-manifolds with boundary

Abstract: We study the mass of asymptotically flat $3$-manifolds with boundary using the method of Bray-Kazaras-Khuri-Stern. More precisely, we derive a mass formula on the union of an asymptotically flat manifold and fill-ins of its boundary, and give new sufficient conditions guaranteeing the positivity of the mass. Motivation to such consideration comes from studying the quasi-local mass of the boundary surface. If the boundary isometrically embeds in the Euclidean space, we apply the formula to obtain convergence of the Brown-York mass along large surfaces tending to $\infty$ which include the scaling of any fixed coordinate-convex surface.

Neutron Star Properties in the Thomas-Fermi Model

Abstract: The modern nucleon-nucleon interaction of Myers and Swiatecki, adjusted to the properties of finite nuclei, the parameters of the mass formula, and the behavior of the optical potential is used to calculate the properties of β-equilibrated neutron star matter, and to study the impact of this equation of state on the properties of (rapidly rotating) neutron stars and their cooling behavior. The results are in excellent agreement with the outcome of calculations performed for a broad collection of sophisticated nonrelativistic as well as relativistic models for the equation of state.

The radiative corrections to the electroweak parameters in the dominant fermion-loop approximation

Abstract: A simple treatment of the dominant radiative corrections to theW ± andZ 0 mass formulae due to fermion-loop corrections to the propagator is given, including the possibility of a very massive top quark,m t >M w . A thorough comparison with the results of the complete (SU(2) L ×U(1) Y ) one-loop calculations is presented. Using α,G μ andM z as input, we find excellent agreement with the complete one-loop calculations (withm HIGGS≃100GeV) for all values ofm t within an expected error ofΔM W ≅(α/2πM W ≅100MeV) inM W andΔs 2 ≅0.002 in the weak angle,s 2 . Technically we differ from previous work in diagonalizing the γZ propagator for arbitrary values ofq 2, thus allowing for extensive use of the notion of “running” coupling constants and masses. We also give a simple and closed formula for the radiative corrections to be applied tos 2 (accurate within an expected error ofΔs 2 ≅0.002), when extractings 2 ≅0.002), when extractings 2 from neutrino scattering experiments. As a strategy for future precision tests of the electroweak theory, we suggest attempting to isolate and to test directly the “new physics” of boson loops and other new phenomena by comparing with and looking for deviations (larger thanΔM W ≅(α/2π)M w ) from the predictions of the dominant fermion-loop calculation.