Context. We investigate the deposition of energy and momentum due to the annihilation of neutrinos (ν) and antineutrinos (¯ ν) in the vicinity of steady, axisymmetric accretion tori around stellar-mass black holes (BHs). This process is widely considered as an energy source for driving ultrarelativistic outflows with the potential to produce gamma-ray bursts. Aims. We analyze the influence of g...

We propose a new edge detection method that is effective on multivariate irregular data in any domain. The method is based on a local polynomial annihilation technique and can be characterized by its convergence to zero for any value away from discontinuities. The method is numerically cost efficient and entirely independent of any specific shape or complexity of boundaries. Application of the ...

The effects of the positron (e(+)) annihilation in e(+) scattering by the H atom are included directly in the Hamiltonian as an absorption potential, and hence the finite lifetimes Gamma(ns) of positronium (Ps) in states ns are automatically taken account of. The Schrödinger equation is solved using the hyperspherical close-coupling method. The annihilation and Ps formation are shown to be inse...

We used Wick’s normal-ordering technique, squeezed creation and annihilation operators, and a variation method, to find the eigenvalues of the general pure ?x2m potential. Numerical results for low-lying energy levels of pure quadratic, quartic, sextic, octic and decatic potentials, for different values of ? were obtained. Some interesting features of these energy levels are explained.

Annihilation or reduction of each kind of noise blended in correct data signals is a field that has attracted many researchers. It is a fact that fuzzy theory presents full capability in this field. Fuzzy filters are often strong in smoothing corrupted signals, whereas they have simple structures. In this paper, a new powerful yet simple fuzzy procedure is introduced for sharpness reduction in ...

Annihilation of the electron-positron pairs (or (e−, e)−pairs, for short) in various polyelectrons e n e− m = e− m e n (where n ≥ 1 and m ≥ 1) is considered. In particular, we discuss the threeand four-photon annihilation of the (e−, e)−pairs in the three-body Ps− ion and four-body bi-positronium system Ps2. It is shown that the five-body e + 2 e − 3 ion is an unbound system. The closed form ex...

For a second-order particle system in Rd subject to locally-in-space pairwise annihilation, we prove scaling limit for its empirical measure on position and velocity towards degenerate elliptic partial differential equation. Crucial ingredients are Green’s function estimates the associated hypoelliptic operator an Itô-Tanaka trick.