Final state interaction as the main mechanism of double hole creation in atomic K shells during electromagnetic nuclear decays

Large violations of the OZI-rule have been observed in pp-annihilation into ? mesons when the initial state is in triplet spin configuration. One possible explanation for this phenomenon is that this is due to a small negatively polarized ss?-component in the nucleon which has been found in polarized deep inelastic scattering of leptons. In the nonperturbative region there is little experimental information on the sign of Δs. We show by spin projection conservation arguments that if the ?-production enhancement in the p?p → ?π is due to the transfer of a ss? from the initial nucleon to the final ?, then Δs must be preferentially positive. We study polarization phenomena in the process N + N → + N+ V⁰ where V⁰ is a vector meson near threshold and we show that a comparison of the pp → pp? reaction (which is dominated by a spin triplet in the initial state, at threshold) and the np → np? (which is driven by non-interfering spin triplet and spin singlet amplitudes) would test quantitatively the ss?-driven spin triplet dominance. Finally we discuss the possibility of using the relationship between the Gerasimov-Drell-Hearn sum-rule and the integral of the spin structure function g_1p to measure the polarization of the ss?-component at low momentum transfer.     

Asymptotic form of the high energy photoionization cross section of fullerenes

We show that the theoretical predictions on high energy behavior of the photoionization cross section of fullerenes depend crucially on the form of the function $V(r)$ which approximates the fullerene field. The shape of the high energy cross section is obtained without solving the wave equation. The cross section energy dependence is determined by the analytical properties of the function $V(r)$.     

The anomalous pole singularities in atomic processes

It is shown that the triangle graph has a pole anomalous singularity due to Coulomb interaction for atomic processes.     

QCD sum rule view on EMC effect

Using Ioffe-time distribution calculated in the framework of QCD sum rule we analyse the difference between the valence quark structure functions of a free proton and a proton placed into nuclear matter.     

Physics of Small Recoil Momenta in One Photon-Two-Electron Ionization of Helium

We calculate the distributions in recoil momenta for the double photoionization of helium.     

Triple-coalescence singularity in a dynamical atomic process

It is shown that the high-energy limit for the amplitude of the double-electron capture to the bound state of the Coulomb field of a nucleus with emission of a single photon is determined by the behavior of the wavefunction in the vicinity of the singular triple-coalescence point.     

Accurate analytic presentation of solution of the Schrödinger equation with arbitrary physical potential

High precision approximate analytic expressions of the ground state energies and wave functions for the arbitrary physical potentials are found by first casting the Schrödinger equation into the nonlinear Riccati form and then solving that nonlinear equation analytically in the first iteration of the quasilinearization method (QLM). In the QLM the nonlinear differential equation is treated by approximating the nonlinear terms by a sequence of linear expressions. The QLM is iterative but not perturbative and gives stable solutions to nonlinear problems without depending on the existence of a smallness parameter. The choice of zero iteration is based on general features of exact solutions near the boundaries. The approach is illustrated on the examples of the Yukawa, Woods-Saxon and funnel potentials. For the latter potential, solutions describing charmonium, bottonium and topponium are analyzed. Comparison of our approximate analytic expressions for binding energies and wave functions with the exact numerical solutions demonstrates their high accuracy in the wide range of physical parameters. The accuracy ranging between 10⁻⁴ and 10⁻⁸ for the energies and, correspondingly, 10⁻² and 10⁻⁴ for the wave functions is reached. The derived formulas enable one to make accurate analytical estimates of how variation of different interactions parameters affects correspondent physical systems.