Distribution functions from Breit-Frame regularisation

Instant two-body equation in Breit frame.

A quasipotential formalism for elastic scattering from relativistic bound states is based on applying an instant constraint to both initial and final states in the Breit frame. This formalism is advantageous for the analysis of electromagnetic interactions because current conservation and four momentum conservation are realized within a three-dimensional formalism. [1] Wave functions are requir...

Breit-wigner Approximation and the Distribution of Resonances

1. Introduction The origins of the theory of resonances lie in the work of Breit and Wigner who studied the behaviour of unstable particles. They postulated that if an ustable particle at energy E 0 decays according to the law exp(??t) then the energy density should be approximately distributed according to the Breit-Wigner distribution ? Hence for ? small, that is for long living particles, E ...

Momentum Spectra in the Current Region of the Breit Frame in Deep Inelastic Scattering at HERA

The production of charged particles has been measured in deep inelastic scattering (DIS) with the ZEUS detector. The evolution of the moments of the scaled momenta distributions in Q 2 and x has been investigated in the current fragmentation region of the Breit frame. The results in the current region are compared to e + e − data and QCD analytical calculations. The results are consistent with ...

The ring of real-valued functions on a frame

In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show that $F(L) $ is isomorphic to a sub-$f$-ring of $mathcal{R}(L)$, the ring of real-valued continu...

Inferring Trading Strategies from Probability Distribution Functions Inferring Trading Strategies from Probability Distribution Functions