Formation of microcracks in an indented Ti<Subscript>3</Subscript>Al intermetallic compound

Microcracks in the Ti₃Al alloy indented at room temperature have been analyzed by electron microscopy. Analysis of the microstructure has revealed that microcracks propagate in the {0\(\overline 1 \)11} pyramidal planes and in the slip bands of the 2c + a superdislocations in the {20\(\overline 2 \)1} and {11\(\overline 2 \)1} pyramidal planes. It is found that the formation of a slip band in the basal plane at the microcrack tip leads to a change in the character of microcrack propagation from straight-line to steplike.     

Fission of Thorium and Uranium by 15 MeV neutrons

A two-parameter experiment on fission induced by 15 MeV neutrons in natural Thorium and Uranium is reported. The measurements were made at 0° and 90° relative to the neutron beam, using two surface barrier detectors facing each other. From the double energy data the overall distributions in energy, mass and angle were obtained. Conditional distributions for energy and angle with the mass as parameter were also extracted. Results for Thorium: total kinetic energy release\(\overline {E_T^* } = 165.5\) ±3.0 MeV, anisotropyY(0°)/Y(90°)=1.70±0.05. Results for Uranium:\(\overline {E_T^* } = 168.6\) ±3.0 MeV,Y(0°)/Y(90°)=1.32±0.04. The results are discussed in terms of currently available models of fission: Fragment Shell Theories and the Two-Mode-Fission-Hypothesis.     

Pentaquarks in the Jaffe-Wilczek approximation

The masses of \(uudd\bar s,{\text{ }}uudd\bar d\), and \(uuss\bar d\) pentaquarks are evaluated in a framework of both the effective Hamiltonian approach to QCD and the spinless Salpeter equation using the Jaffe-Wilczek diquark approximation and the string interaction for the diquark-diquark-antiquark system. The pentaquark masses are found to be in the region above 2 GeV. That indicates that the Goldstone boson exchange effects may play an important role in the light pentaquarks. The same calculations yield the mass of \([ud]^2 \bar c\) pentaquark ～3250 MeV and \([ud]^2 \bar b\) pentaquark ～6509 MeV.     

CP violation at colliders

The prospects of experimental detection ofCP violation ate ⁺ e ^? and\(pp/p\bar p\) colliders are reviewed. After a general discussion on the quantities which can measureCP violation and on the implications of theCPT theorem, various possibilities of measuringCP violation arising outside the standard model are taken up.CP violation in leptonic processes, especially polarization effects ine ⁺ e ^?→l ⁺ l ^? are discussed next.CP violation in\(t\overline t \) andW ⁺ W ^? production and decay is also described.     

Non-extensivity of the chemical potential of polymer melts

Following Flory’s ideality hypothesis, the chemical potential of a test chain of length n immersed into a dense solution of chemically identical polymers of length distribution P(N) is extensive in n . We argue that an additional contribution \( \delta\) \( \mu_{{{\rm c}}}^{}\)(n) ～ +1/\( \rho\) \( \sqrt{{n}}\) arises (\( \rho\) being the monomer density) for all P(N) if n ? 〈N〉 which can be traced back to the overall incompressibility of the solution leading to a long-range repulsion between monomers. Focusing on Flory-distributed melts, we obtain \( \delta\) \( \mu_{{{\rm c}}}^{}\)(n) \( \approx\) (1 - 2n/〈N〉)/\( \rho\) \( \sqrt{{n}}\) for n ? 〈N〉² , hence, \( \delta\) \( \mu_{{{\rm c}}}^{}\)(n) \( \approx\) -1/\( \rho\) \( \sqrt{{n}}\) if n is similar to the typical length of the bath 〈N〉 . Similar results are obtained for monodisperse solutions. Our perturbation calculations are checked numerically by analyzing the annealed length distribution P(N) of linear equilibrium polymers generated by Monte Carlo simulation of the bond fluctuation model. As predicted we find, e.g., the non-exponentiality parameter K _p \( \equiv\) 1 - 〈N ^p〉/p!〈N〉^p to decay as K _p \( \approx\) 1/\( \sqrt{{\langle N \rangle }}\) for all moments p of the distribution.     

Neutron-antineutron oscillations in the trapping box

The problem of n-\(\bar n\) oscillations for ultracold neutrons confined within a trap is reexamined. It is shown that the growth of the \(\bar n\) component with time is to a decent accuracy given by \(P(\bar n) = \varepsilon _{n\bar n}^2 t_L t\), where \(\varepsilon _{n\bar n}\) is the mixing parameter and t _L ～ 1 s is the neutron propagation time between subsequent collisions with the trap walls. Possible corrections to this law and open questions are discussed.     

Neutrino-astrophysics,nuclear physics,and particle physics at intense,pulsed, stopped-pion sources

Intense pulsed proton beams of ～ 1 GeV impinging on high-Z targets are intense sources of ν_μ from the (τ=26 ns) decay of π⁺, and \(\bar \nu _\mu \) and ν_e from the stopped μ⁺ decays. A pulse structure, narrow in time, allows the separation of reactions due to ν_μ from those from reactions involving \(\bar \nu _\mu\) and ν_e. The energy spectra are in the energy range of interest to nuclear astrophysics. A number of possible experiments relevant to solar neutrinos, supernovae collapse, weak interactions in nuclei, and intrinsic properties of neutrinos are discussed.     

Electron-microscopic study of microcracks in single-crystal Ti<Subscript>3</Subscript>Al

Microcracks in a Ti₃ Al alloy subjected to indentation at room temperature were studied by transmission electron microscopy. The microcracks are shown to grow on \(\{ 0\overline 1 11\} \) pyramidal planes and in the slip bands of 2c + a superdislocations on \(\{ 20\overline 2 1\} \) and \(\{ 11\overline 2 1\} \) pyramidal planes. It is found that, due to the formation of a slip band in the basal plane at a microcrack tip, the propagating microcrack becomes steplike rather than straight. It is shown that a microcrack can nucleate at the line of intersection of \(\{ 11\overline 2 1\} \) pyramidal and \(\{ 0\overline 1 10\} \) prismatic planes.     

Regularity of the Speed of Biased Random Walk in a One-Dimensional Percolation Model

We consider biased random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. Axelson-Fisk and Häggström established for this model a phase transition for the asymptotic linear speed \(\overline{\hbox {v}}\) of the walk. Namely, there exists some critical value \(\lambda _{\hbox {c}}>0\) such that \(\overline{\hbox {v}}>0\) if \(\lambda \in (0,\lambda _{\hbox {c}})\) and \(\overline{\hbox {v}}=0\) if \(\lambda \ge \lambda _{\hbox {c}}\). We show that the speed \(\overline{\hbox {v}}\) is continuous in \(\lambda \) on \((0,\infty )\) and differentiable on \((0,\lambda _{\hbox {c}}/2)\). Moreover, we characterize the derivative as a covariance. For the proof of the differentiability of \(\overline{\hbox {v}}\) on \((0,\lambda _{\hbox {c}}/2)\), we require and prove a central limit theorem for the biased random walk. Additionally, we prove that the central limit theorem fails to hold for \(\lambda \ge \lambda _{\hbox {c}}/2\).     

VEPP-2000 project: Collider,detectors, and physics program

The new VEPP-2000 e⁺e^? collider of maximum energy 2000 MeV, which is under construction at the Budker Institute of Nuclear Physics (Siberian Division, Russian Academy of Sciences, Novosibirsk), is briefly described. Experiments at VEPP-2000 will be performed with two upgraded detectors, CMD-2M and SND. A precise measurement of the total cross section for the process e⁺e^? → hadrons and of the partial cross sections for its exclusive hadronic channels is the main point of the physics program for this machine. These measurements will be aimed at testing QCD and the VMD and CVC models, as well as at refining the hadron contribution to fundamental constants such as the muon anomalous magnetic moment \(a_\mu = \frac{{g - 2}}{2}\) and the fine-structure constant α_em(M _Z ² ). Measurements of the nucleon form factors in the reactions e⁺e^? → p\(\bar p\), n\(\bar n\) at their threshold will also be of great importance.     

Associative open charm photoproduction $$\gamma + N \to Y_c + \bar D_c (\bar D_c^ * ), Y_c = \Lambda _c^ + or \Sigma _c $$

We analyze polarization effects in associative photoproduction of pseudoscalar\((\bar D_c )\) and vector\((\bar D_c^ * )\) charmed mesons in exclusive processes\(\gamma + N \to Y_c + \bar D_c , Y_c = \Lambda _c^ + , \Sigma _c \). We calculate the differential cross section and all polarization observables in framework of au effective Lagrangian approach. In case of collinear kinematics it is possible to give model independent predictions for polarization observables in case of\(\bar D_c \) production, and the analysis for\(\bar D_c^ * \) is largely simplified.     

Effective conductivity of 2D isotropic two-phase systems in a magnetic field

Using the linear fractional transformation, which connects the effective conductivities \(\hat \sigma _e \) of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for \(\hat \sigma _e \) in a magnetic field are obtained. They allow one to describe \(\hat \sigma _e \) of various inhomogeneous media at arbitrary phase concentrations x and magnetic fields. The x-dependence plots of \(\hat \sigma _e \) at some values of inhomogeneity and magnetic field are constructed. Their behavior is qualitatively compatible with the existing experimental data. The obtained results are applicable to different two-phase systems (regular and irregular as well as random), which satisfy the symmetry and self-duality conditions, and admit direct experimental checking.     

Mössbauer investigations of the CaMn<Subscript>7</Subscript>O<Subscript>12</Subscript> double manganite with the nuclei of <Superscript>57</Superscript>Fe probe atoms

The CaMn₇O₁₂ double perovskite-like manganite is studied using Mössbauer spectroscopy with ⁵⁷Fe impurity atoms. The hyperfine parameters of the Mössbauer spectra are found to reflect the specific local structure of this oxide. It is found that the phase transition at T ≈ 90 K is associated with the ordering of the magnetic moments of manganese cations in the octahedral sublattice. The structural phase transition R \(\overline 3 \) ? Im \(\overline 3 \) is shown to occur in the temperature interval from 380 to 450 K, where the rhombohedral (R \(\overline 3 \)) and cubic (Im \(\overline 3 \)) phases of the manganite coexist.     

Pentaquarks—status report

I discuss the recent experimental and theoretical developments following the discovery of the 8⁺ pentaquark, an exoticuudd \(\bar s\) baryon resonance observed in theKN channel by several experiments, and an exotic Ξ^*?? (ddss \(\bar u\)) reported by NA49 at CERN. I focus on the theoretical interpretation of the data, both in terms of quark and chiral degrees of freedom, on the predictions for related exotic states, and on several unresolved questions raised by the experimental data, such as why some experiments observe the pentaquarks and other don't, the apparently extremely narrow width of the Θ⁺ and the determination of its parity. I also describe the likely properties of the proposed heavy-quark pentaquarks, an anticharmed exotic baryon Θ _c uudd \(\bar c\) and Θ _b ⁺ (uudd \(\bar b\)) which are expected to be extremely narrow or even stable against strong decays. H1 recently reported observation of a possible Θ _c candidate inD ^*? p channel. Pentaquarks are also being searched for ine ⁺ e ^? annihilation and γγ collisions in the LEP data and atB-factories.     

$$\bar K$$ optical potential at finite temperatureoptical potential at finite temperature

The \(\bar K\) optical potential is microscopically calculated from the \(\bar K\)N effective interaction in nuclear matter at T=0 and finite temperature, with the aim to adapt our calculations to the experimental conditions in heavy-ion collisions. In the rank of densities (0-2_ρ0), the finite temperature \(\bar K\) optical potential shows a smoother behaviour compared to the T=0 case. The model has also been applied to the study of the ratio between K⁺ and K^? produced at GSI with T around 70 MeV. The results point at the necessity of introducing an attractive \(\bar K\) optical potential.     

Die absolute Intensität der durch Elektronenstoß in einer dicken Wolfram-Antikathode erzeugtenL α -Strahlung

The number\(N_{L_\alpha }^{dir} \) (produced) ofL _α -photons produced by electron-bombardment in a thick target of tungsten per incident electron has been measured absolutely with the Ross-filter method and relatively with the crystal-spectrometer method in the energyregion up to the 3.6 times theL _III-ionization energy\(E_{L_{III} } \). The result can be presented in the following empirical form:\(N_{L_\alpha }^{dir} \) (produced)=4π·?·(U ₀?1) ⁿ with ?=0.52·10^?4±5% andn=1.44±0.02\((U_0 = E_0 /E_{L_{III} }< 3.6)\). Out of this the number\(n_{L_{III} } \) ofL _III-ionizations per electron which is slowed down to the energy\(E_{L_{III} } \) within the target, has been evaluated. The computation of\(n_{L_{III} } \) out of the elementary process by usingBethe's non-relativistic formulae for totalL _III-ionization cross sectionQ _L and energy loss-dE/ds is in full agreement with experiment in the region 2<U ₀<3.6, if the constants in\(Q_{L_{III} } \) are chosen as follows:\(B = 4E_{L_{III} } , b_{L_{III} } = 0.25 \cdot 5.89\). By comparison of this result for\(b_{L_{III} } \) with the corresponding value ofb _K in the totalK-ionization cross-sectionQ _K for copper (b _K=0.35·2.26) it is concluded that\(Q_{L_{III} } \) is considerably higher than predicted by theory. The necessary correction factors as e.g. loss ofL _III-ionizations by rediffusion of electrons and portion of indirectly producedL _α -radiation-radiation are determined for tungsten quantitatively.     

On the structure of the von Neumann algebras generated by local functions of the free bose field

It is shown that the von Neumann algebra\(R_\mathfrak{B} \)(B) generated by any scalar local functionB(x) of the free fieldA ₀(x) is equal either to\(R_\mathfrak{B} \)(A ₀) or to\(R_\mathfrak{B} \)(:A ₀ ² :). The latter statement holds if the state space space\(\mathfrak{H}_B \) obtained from the vacuum state by repeated application ofB(x) is orthogonal to the one particle subspace. In the proof of these statements, space-time limiting techniques are used.     

Quark-hadron duality and production of charmonia and doubly charmed baryons in <Emphasis Type="Italic">e</Emphasis><Superscript>+</Superscript><Emphasis Type="Italic">e</Emphasis><Superscript>−</Superscript> anninhilation

The cross sections for the production of charmonia and doubly charmed baryons in e ⁺ e ^? annihilation at an interaction energy of \(\sqrt s \) = 10.6 GeV are predicted under the assumption of quark—hadron duality. The method used is shown to remove some contradictions between experimental data and perturbative QCD.     

Temperature and purity dependence of the nuclear-spin relaxation rate in the gapless region of type-II superconductors

The volume average of the nuclear-spin relaxation rate in type-II superconductors,R _s, is calculated for magnetic fields slightly below the upper critical field and all mean free paths,l, and temperatures. It is found to be expressible solely in terms of the volume average of the density of states,\(\bar N(\omega )\), where the latter quantity has been determined recently byNeumann for alll. The derivation is based onHelfand andWerthamer's eigen-value equation for the order parameter,Δ. The deviation of\(\bar R_s \) from the relaxation rate in the normal state,R _n, is proportional to the quantity\([|\overline {\Delta |^2 } /\Delta _{BCS}^2 (T)]R_n \) (the bar denotes the spatial average). The proportionality factor is found to decrease monotonously as the temperature decreases and/orl increases. This behavior is closely related to the fact that\(\bar N(\omega )\) shows no gap for the excitation energiesω and decreases asl increases, in particular at energiesω close to zero (ω=0 corresponds to the Fermi energy).     

Contributions of scalar leptoquarks to the cross sections for the production of quark-antiquark pairs in electron-positron annihilation

The contributions of scalar-leptoquark doublets to the cross sections \(\sigma _{Q\tilde Q} \), for the production of quark-antiquark pairs in electron-positron annihilation are calculated within the minimal model based on the four-color symmetry of quarks and leptons. These contributions are analyzed versus the scalar-leptoquark masses and the mixing parameters of the model at colliding-particle energies in the range 250–1000 GeV. It is shown that the contributions in question are of greatest importance for processes leading to t-quark production. In particular, it is found that, with allowance for the contribution of the scalar leptoquark of charge 5/3 and mass in the range 250–500 GeV, the cross section \(\sigma _{t\tilde t} \) calculated at a mixing-parameter value of k_t ～ 1 may be severalfold larger than the corresponding cross section \(\sigma _{t\tilde t}^{(SM)} \) within the Standard Model. The possibility of setting constraints on the scalar-leptoquark masses and on the mixing parameters by measuring such contributions at future electron-positron colliders is indicated.