Mass formula

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

On the mass formula of supersingular abelian varieties with real multiplications

Abstract: A geometric mass concerning supersingular abelian varieties with real multiplications is formulated and related to an arithmetic mass. We determine the exact geometric mass formula for superspecial abelian varieties of Hilbert-Blumenthal type. As an application, we compute the number of the irreducible components of the supersingular locus of some Hilbert-Blumenthal varieties in terms of special values of the zeta function.

Nuclear charge radii in modern mass formulas

Abstract: We examine the predictions for nuclear charge radii made by an extended Thomas-Fermi mass formula, the first to be built entirely on microscopic forces, and the finite-range droplet model mass formula, the most refined of the droplet-model approaches The former is highly successful, the parameters emerging from the mass fit giving an optimal fit to charge radii also, without any further adjustment The latter model in its published form seems to suffer from an inappropriate choice for the values of some of the parameters, and we discuss how improvement might be possible

Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes

Abstract: It is demonstrated that the generic four-dimensional Taub-Newman-Unti-Tamburino (Taub-NUT) spacetimes can be perfectly described in terms of three or four different kinds of thermodynamic hairs: the Komar mass ($M=m$), the ``angular momentum'' (${J}_{n}=mn$), the gravitomagnetic charge ($N=n$), and/or the dual (magnetic) mass ($\stackrel{\texttildelow{}}{M}=n$). In other words, the NUT charge is a thermodynamic multihair which means that it simultaneously has both rotation-like and electromagnetic charge-like characteristics; this is in sharp contrast with the previous knowledge that it has only one physical feature, or that it is purely a single solution parameter. To arrive at this novel result, we put forward a simple, systematic way to investigate the consistent thermodynamic first law and Bekenstein-Smarr mass formulas of all four-dimensional spacetimes that contain a nonzero NUT charge, facilitated by first deriving a meaningful Christodoulou-Ruffini-type squared-mass formula. In this way, not only can the elegant Bekenstein-Hawking one-quarter area-entropy relation be naturally restored in the Lorentzian and Euclidian sectors of generic Taub-NUT-type spacetimes without imposing any constraint condition, but also the physical meaning of the NUT parameter as a poly-facet can be completely clarified in the thermodynamic sense for the first time.