In the present work we systematically study half-lives of proton radioactivity for spherical emitters with $${Z\ge 69}$$ based on two-potential approach. While nuclear potential emitted proton-daughter nucleus is adopted by a parameterized cosh type, parameters depth and diffuseness are determined fitting experimental data 32 emitters. order to reduce deviations between calculated ones, propose...

The analytical formulas for the average intensity and power in the bucket of the relay propagation of partially coherent cosh-Gaussian (ChG) beams in non-Kolmogorov turbulence have been derived based on the extended Huygens-Fresnel principle. The influences of the beam parameters, relay system parameters and the non-Kolmogorov turbulence parameters on relay propagation are investigated by numer...

A bstract The classical motion of a Nambu-Goto string in AdS 3 spacetime is governed by the generalized sinh-Gordon equation. It can locally be reduced to (shG), cosh-Gordon (chG), or Liouville equation, depending on value scalar curvature induced metric. In this paper, I examine solutions that contain both shG-type and chG-type regions. boundary between these regions moves with speed light. sh...

We will denote by 〈γ1, ..., γk〉 the differential ideal generated by γ1, ..., γk, i.e. the set of elements of Ω∗(M) of the form α ∧ γ1 + ...+ α ∧ γk + β ∧ dγ1 + ...+ β ∧ dγk, for some α, ..., α, β, ..., β ∈ Ω∗(M). We also denote by 〈γ1, ..., γk〉alg the “algebraic” ideal (not necessarily closed under d) consisting of elements of the form α ∧ γ1 + ...+ α ∧ γk. The basic problem of EDS is to find i...

We consider pure SU(2) Yang–Mills theory on four-dimensional de Sitter space dS4 and construct a smooth and spatially homogeneous magnetic solution to the Yang–Mills equations. Slicing dS4 as R×S3, via an SU(2)-equivariant ansatz we reduce the Yang–Mills equations to ordinary matrix differential equations and further to Newtonian dynamics in a double-well potential. Its local maximum yields a Y...

In recent years the development of cone-beam reconstruction algorithms has been an active research area in x-ray computed tomography (CT), and significant progress has been made in the advancement of algorithms. Theoretically exact and computationally efficient analytical algorithms can be found in the literature. However, in single photon emission computed tomography (SPECT), published cone-be...

We consider the accuracy of several methods for combining forward and reverse free-energy perturbation averages for two systems ~labeled 0 and 1!. The practice of direct averaging of these measurements is argued as not reliable. Instead, methods are considered of the form b(A12A0) 52ln@^w(u)exp(2bu/2)&0 /^w(u)exp(1bu/2)&1# , where A is the free energy, b51/kT is the reciprocal temperature, u5U1...