ν = q · P M = E − E is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q = −q2 = 2(EE′−−→k · −→k )−ml −ml′ where ml(ml′) is the initial (final) lepton mass. If EE′ sin(θ/2) ≫ m2l , m2l′ , then ≈ 4EE′ sin(θ/2), where θ is the lepton’s scattering angle with respect ...

The electromagnetic current of bound systems in the light-front is constructed in the Breit-Frame, in the limit of momentum transfer q + = (q 0 + q 3) vanishing. In this limit, the pair creation term survives and it is responsible for the covariance of the current. The pair creation term is computed for the j + current of a spin one composite particle in the Breit-frame. The rotational symmetry...

In the Bézier formalism, an arc of a conic is a rational curve of degree 2 with control polygon {P, Q, R} for which the weights can be normalized to {1, w, 1}. The parametrization of the conic arc is C(t) = (1 − t) 2 P + 2wt(1 − t)Q + t 2 R (1 − t) 2 + 2wt(1 − t) + t 2 , t ∈ [0, 1]. Abstract Synthetic derivation of closed for-mulae of the geometric characteristic of a conic given in Bézier form...

ν = q · P M = E − E is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q = −q2 = 2(EE′−−→k · −→k )−ml −ml′ where ml(ml′) is the initial (final) lepton mass. If EE′ sin(θ/2) ≫ m2l , m2l′ , then ≈ 4EE′ sin(θ/2), where θ is the lepton’s scattering angle with respect ...

We investigate the form factors and decay rates of exclusive 0 → 0 semileptonic meson decays using the constituent quark model based on the light-front quantization. Our model is constrained by the variational principle for the linear plus Coulomb interaction motivated by QCD. Our numerical results are in a good agreement with the available experimental data. One of the distinctive advantages i...

In this paper a comprehensive approach is presented to improve power swings damping based on direct Lyapunov method. The approach combines superconducting magnetic energy storage (SMES) system with static synchronous compensator (STATCOM). Considering the energy absorption/injection ability of SMES, in transient states the combination exchanges both active and reactive powers with power system....

The main goal of this paper is the design of frames for transmitting vectors through a memoryless analog erasure channel. The channel transmits the frame coefficients perfectly or discards them, depending on the outcomes of Bernoulli trials with a failure probability q. For sufficiently small q, we construct frames which encode above a fixed non-zero rate and allow the receiver to recover part ...

We present two families of exterior differential systems (EDS) for causal embeddings of orthonormal frame bundles over Riemannian spaces of dimension q = 2, 3, 4, 5.... into orthonormal frame bundles over flat spaces of higher dimension. We calculate Cartan characters showing that these EDS are dynamical field theories. The first family includes a nonisometric embedding EDS for classical Einste...