Radiative corrections to the decay τ → Mντ

The electromagnetic corrections to τ → Mν_τ decay, where M is pseudoscalar meson, are treated with all generality. An expression for the decay rate is found, which is accurate up to a few hundredths of a percent, provided hard bremsstrahlung photons are discriminated.     

Calculation of O(p6) corrections to the muon transverse polarization in Kl2γ decay

The contribution of final-state interactions to the muon transverse polarization in the decay K ⁺ → μ⁺ v γ is calculated within chiral perturbation theory to O(p ⁶) terms. It is shown that the O(p ⁶) corrections to the transverse polarization are much smaller than the O(p ⁴) leading contribution. Original Russian Text ? V.V. Braguta, A.A. Likhoded, A.E. Chalov, 2007, published in Yadernaya Fizika, 2007, Vol. 70, No. 2, pp. 386–391.     

Radiative corrections to parapositronium decay

Radiative corrections to the two-gamma decay of parapositronium are examined. Special care is taken in the handling of the so-called binding diagram; in particular, the limiting procedure related to the infrared divergence is considered carefully. The general covariant gauges and the Fried-Yennie gauge are used in the computation to see that gauge invariance is accounted for. The order α correction of Harris and Brown is confirmed. In addition, from a sharp peak of the matrix element at low momentum and the low-momentum correction to the wave function, an α² ln α^?1 correction is derived.     

Radiative corrections to positronium decay

In this work a method for calculating radiative corrections to positronium decay is presented that is direct, and allows for a systematic extension applicable to the calculation of corrections beyond the first [o(α)] correction. An expression for the decay amplitude in terms of the Bethe-Salpeter wavefunction is employed. The Bethe-Salpeter wavefunction is evaluated perturbatively in a scheme having a lowest-order bound state equation that is exactly soluble. The decay amplitude is evaluated in Coulomb gauge, without the introduction of a photon mass. One-loop renormalization in Coulomb gauge is shown to be consistent. Using this method the known analytic result for the o(α) correction to the parapositronium decay rate is obtained. The same method is applied to orthopositronium, and the existing theoretical discrepancy in the value of the o(α) correction to the decay rate is resolved. This o(α) correction is obtained with an error which corresponds to an uncertainty in the total rate much smaller than α²Γ_LO (where Γ_LO is the lowest-order rate). Also, the o(α) correction to the differential decay rate is computed for the first time.     

Continuum bound states K L, D 1(2420), D s1(2536), and their partners K S, D 1(2400), D * sJ(2463)

The very recently observed D^*_sJ(2463) meson is described as a bound state in a unitarised meson model, owing its existence to the strong OZI-allowed coupling to the nearby S-wave threshold. By the same non-perturbative mechanism, the narrow axial-vector D_s1(2536) resonance shows up as a quasi-bound-state partner embedded in the continuum. With the same model and parameters, it is also shown that the preliminary broad 1 ⁺ D₁(2400) resonance and the established narrow 1 ⁺ D₁(2420) may be similar partners, as a result of the strong OZI-allowed coupling to the nearby S-wave threshold. The continuum bound states D₁(2420) and D_s1(2536) are found to be mixtures of 33% and 67% , whereas their partners D₁(2400) and D^*_sJ(2463) have more or less the opposite -state content, but additionally with some or admixture, respectively. The employed mechanism also reproduces the ratio of the K_L-K_S mass difference and the K_S width, by describing K_L as a bound state embedded in the continuum. The models results for states containing one b quark are also discussed.Received: 7 June 2003, Revised: 20 October 2003, Published online: 18 December 2003PACS: 12.40.Yx, 14.40.Aq, 14.40.Lb, 13.25.Es, 13.25.Ft, 13.75.Lb     

Radiative properties of Eu in BaGa2S4

A photoluminescence study of the blue-green emitting BaGa₂S₄:Eu²⁺ phosphor is reported. Diffuse reflectance, excitation and emission spectra were examined with the aim to enlarge the fundamental knowledge about the emission of the Eu²⁺ rare earth ion in this lattice. The thermal dependence of the radiative properties and the influence of the Eu²⁺ concentration were investigated. The Stokes shift, the crystal field splitting and the activation energy of the thermal quenching were determined. By combining these results with data available in literature, we discussed the radiative properties of the BaAl₂S₄:Eu²⁺ blue phosphor in relation with those determined in this study for the isostructural BaGa₂S₄:Eu²⁺ phosphor.     

Electron polarization in polarized muon decay: Radiative corrections

We calculate the first-order radiative corrections to the decay spectrum of polarized muons, for the case where the electron polarization is also observed. The significance of the results for further studies on muon decay is discussed.     

Atmospheric neutrinos: LMA oscillations, Ue3 induced interference and CP-violation

We consider oscillations of the low energy (sub-GeV sample) atmospheric neutrinos in the three neutrino context. We present the semi-analytic study of the neutrino evolution and calculate characteristics of the e-like events (total number, energy spectra and zenith angle distributions) in the presence of oscillations. At low energies there are three different contributions to the number of events: the LMA contribution (from ν_e-oscillations driven by the solar oscillation parameters), the U_e3-contribution proportional to s₁₃², and the U_e3-induced interference of the two amplitudes driven by the solar oscillation parameters. The interference term is sensitive to the CP-violation phase. We describe in details properties of these contributions. We find that the LMA, the interference and U_e3 contributions can reach 5–6%, 2–3% and 1–2% correspondingly. An existence of the significant (>3–5%) excess of the e-like events in the sub-GeV sample and the absence of the excess in the multi-GeV range testifies for deviation of the 2–3 mixing from maximum. We consider a possibility to measure the deviation as well as the CP-violation phase in future atmospheric neutrino studies.     

Radiative corrections to low-energy ππ scattering

Radiative corrections to low-energy ππ scattering are calculated. A chiral SU(2) × SU(2) Lagrangian is used to describe low-energy scattering. This strong interaction Lagrangian is modified in the presence of the electromagnetic field in a gauge invariant way. It is found that photons do not probe the strong vertex. Corrections to the cross sections are calculated to O(α). All the ultra-violet divergences cancel, and the results are independent of cut-off parameters. Corrections to the Weinberg scattering lengths of the order of 1% are defined by removal of the Coulomb pole terms. The field theoretic calculation is compared with a potential theory approach. It is argued that the potential theory calculation of radiative corrections is more reliable.     

Radiative decay of the 2 3Po0 level of beryllium-like ions

A Z-expansion technique is used to estimate the radiative rate for the $\text{2}{}^3\text{P}{}^{\mathrm{<mtext>o</mtext>}}{}_0\text{?2}{}^1\text{S}{}_0$ transition in berryllium-like ions. It is concluded that the transition rate is so slow as to be unobservable.     

Radiative corrections to muon pair and quark pair production in electron-positron collisions in the Z0 region

A calculation of first-order radiative corrections to the process e⁺e^?→μ⁺μ^? is presented, which is in particular applicable to the Z₀ region. The emphasis is on a detailed treatment of hard photon effects, which affect the size of the corrections in the Z₀ region considerably. The technique used is that of a Monte Carlo simulation of μ⁺μ^? and μ⁺μ^?γ events. In an appendix the generalization to quark pair production is presented.     

Electronic structure and the S K absorption spectra of chromium-containing chalcogenide spinels Cd1?xCuxCr2S4

The electronic structure and x-ray absorption spectra of sulfur in normal ferromagnetic spinels of the general formula Cd_1−x Cu_xCr₂S₄ (x=0.05, 0.1, 0.15, 0.2) are calculated using the FEFF8 program. In these calculations, the self-consistent crystal potential is simulated in terms of the partially nonlocal model of exchange-correlation potential. The model is based on the Dirac-Fock approximation for core electrons and the Hedin-Lundquist approximation for valence electrons. The S K absorption edges are calculated in the approximation of full multiple scattering by a 27-atom cluster. In addition, one-, two-, and three-scattering paths within a 981-atom clusters are taken into account. The calculation demonstrates that the introduction of even insignificant amounts of copper atoms into a CdCr₂S₄ cluster leads to a shift in the main features of the S K adsorption edges toward the high-energy range. This can be associated with variations in the nearest environment of the absorbing atom and active participation of copper ions in the chemical bonding of chalcogenide spinels. __________ Translated from Fizika Tverdogo Tela, Vol. 45, No. 4, 2003, pp. 638–640. Original Russian Text Copyright ? 2003 by Leshcheva, Safontseva, Nikiforov.     

CP violation in KS, L → π+π?γ and KS, L → π+π?e+e? decays

The dependence of K _{S, L} → π ⁺ π ⁻ γ decay probabilities on photon polarization is calculated. The phases of the terms of the amplitude that arise from the pion-pion interaction are obtained by using a simple realistic model of pion-pion interaction via virtual ρ meson, instead of chiral perturbation theory (ChPT). The results are compared with those of other authors and the origin of the discrepancies is explained. It is shown that the standard ChPT approach for K _{S, L} → π ⁺ π ⁻ γ decays cannot reproduce the contribution of the ρ meson to the P-wave ππ interaction. The departure of the photon spectrum from pure bremsstrahlung due to the pion-loop contribution to the electric direct emission amplitude is calculated. It is shown that the interference between the terms of amplitude with different CP parity appears only when the photon is polarized (linearly or circularly). Instead of measuring the linear polarization, the angular correlation between the π ⁺ π ⁻ and e ⁺ e ⁻ planes in K _{S, L} → π ⁺ π ⁻ e ⁺ e ⁻ decay can be studied. From Yadernaya Fizika, Vol. 67, No. 2, 2004, pp. 332–345. Original English Text Copyright ? 2004 by Bulanov. This article was submitted by the author in English.     

Radiative corrections to muon decay in leading and next-to-leading approximation for electron spectrum

We have noted that the electron spectrum of muon decay in the leading logarithmic approximation calculated in two lowest orders of the perturbation theory in the paper of Berman (1958), can be reproduced by the parton language. This fact permits one to generalize the result to all orders of the perturbation theory using the structure function method.     

Radiative corrections to muon and beta decay in the intermediate Vector Boson theory

The radiative corrections to muon and beta decay are examined in detail using the ξ-limiting formalism ofLee andYang. The electron spectra for both decays are calculated. It is found that the muon lifetime discrepancy is reduced considerably if one considers, quantitatively, the effect of strong interactions on the weak vector coupling constant as determined from the neutron's lifetime.