Dynamic shielding of a charge in a metal

A discussion of the shielding of a charged particle in a current-carrying conductor is given that is based on the linearized Thomas-Fermi approximation. An expression for the force on a particle of charge q is obtained from which the value of the electric field E_c in the conductor may be found:

$\text{E}{}_{\mathrm{c}}\text{=}\text{lim}\text{q→0}\text{F}{}_{\mathrm{q}}\text{/q}$

It is shown that the force on the particle has the form $\text{F}{}_{\mathrm{q}}\text{= q}\text{E}{}_0\text{× (1 + γ(}\text{q}\text{e}\text{) + …}$ to second order in the charge q, where E₀ is the electric field at large distances from q, e is the charge of the carrier, and γ is a material-dependent constant. The shielding correction has the character of a “wind-force,” and the electric field in the conductor is given by Ec = E₀.     

Large-pTπ0 production with pion beams and dominance of the subprocess quark + quark → baryon + antiquark

We compare the predictions of the subprocesses M + q → M + q, q + $\text{q}$ → M + M, q + q → B + q?, for large-p_Tπ⁰ inclusive production in π^?p collisions, with the data. Calculations performed with various models show, in a model independent way, that q + q → B + q? is dominant in pp collisions.     

A search for stable particles heavier than the proton and for Q = −23 quarks produced in e+e− annihilation

We have searched 1.4 × 10⁶e⁺e^? annihilation events for particles with 1–3 GeV/c² mass and charge $\text{Q = ?}\text{2}\text{3}$ from the processes e⁺e^?→q$\text{q}$X and e⁺e^? → q$\text{q}$. Upper limits of RQ ～ 10^?4 for each process are presented which improve the previous limits on free quark production in electromagnetic interactions by 2 orders of magnitude.     

Scaling function for order-parameter correlations in expansion to order 1/n: I. Short-range interactions

The order-parameter correlation function $\text{G}\text{?}\text{(}\text{q}\text{, ξ}{}_1\text{)}$ is calculated in the critical region of momentum space $\text{q}$ in terms of a second-moment correlation length ξ₁ by means of perturbation expansion to order 1/n, for an n-vector system with short-range interactions, in zero field above T_c, for 2 < d < 4. The scaling function of the $\text{q}$ dependence is obtained in closed form with a precisely identified cutoff-dependent factor which is the amplitude of the correlation-length dependence of the susceptibility. Both the exponents and the coefficients of the expansion for fixed q as t = (T?T_c)/T_c → 0 are given explicitly and the former are shown to be in accordance with the operator product expansion. The coefficients of order 1/n in the terms associated with a t^k(1?α) dependence of the energy density, for integer k ≥ 1, are expected to be explicitly cutoff-dependent and this is verified by the detailed calculations for k = 1. The behaviour for fixed t and q → 0 is shown to be markedly different from the Ornstein-Zernike approximation. Detailed comparison is provided with the scaling function of the t dependence of the correlations appearing in parallel work.     

Heavy-quark production by hadrons: Gluon jet fragmentation versus fusion

We show that at $\text{p}\text{p}$ collider energies heavy quarks are dominantly produced by the fragmentation of gluon jets into $\text{Q}\text{Q}$ with Q = c,b. This is because the underlying gg → gg jet cross section exceeds the fusion process $\text{gg → Q}\text{Q}$ by over two orders of magnitude. We compute the perturbative contribution to the gluon fragmentation from 2 → 3 processes such as gg $\text{→ gQ}\text{Q}$. We point out the observable consequences for single-lepton production and same-opposite charge dileptons. In particular, the observed production of dileptons with large p_T and low effective mass is explained.     

Spotting glueballs in collinear gluon jets

We suggest looking for pure gluon hadronic states (glueballs) in ?→ 3g → low spherically final state (collinear gluon jets). In these events one gluon has the maximum energy, $\text{M?}\text{2}$, favouring fragmentation into a glueball. The signature for a true C = G + glueball is its prominence at the ? resonance in e⁺e^? →? → (glueball → four charged pions) + … and its absence in q$\text{q}$ jets off (we do not expect significant quark fragmentation into glueballs).     

A neutron scattering study on the incommensurate-commensurate ϵ → ζ phase transition of the perovskite-type layer compound PAMC: A lock-in phase transition with a flipping modulation vector

An elastic neutron scattering experiment between 80 and 120 K has further elucidated the ?- and ζ-phases of PAMC and the ? → ζ phase transition. The temperature dependence of the incommensurate modulation vector $\text{q}\text{= (}\text{1}\text{3}\text{+ δ)}\text{b}{}^1$ of the ?-phase has been determined near the phase transition. At the phase transition the modulation vector locks-in at δ = 0, but below the transition it flips into the $\text{(}\text{b}{}^1\text{?}\text{c}{}^1\text{)}$ direction. The symmetry of ζ-PAMC is monoclinic and the A-centering of the normal δ-phase is partially recovered. Multiple and reversible twinning occurs. Pronounced discontinuities appear at the phase transition in the lattice parameters and reflection intensities.     

A model for phase transitions in Tetrathiafulvalene-Tetracyanoquinodimethane (TTF-TCNQ)

The observed phase transitions in Tetrathiafulvalene-Tetracyanoquinodimethane (TTF-TCNQ) are discussed using a simple model for the interchain coupling of charge density waves. Estimates based on Coulomb energies show that for 38 K < T < 49 K the components $\text{q}{}_{\mathrm{x}}\text{=}\text{π}\text{a}\text{+ q′}{}_{\mathrm{x}}$ and q_z of the wave vector associated with the charge density wave satisfy $\text{q}{}_{\mathrm{z}}\text{c}\text{q′}{}_{\mathrm{x}}\text{a?0.1}$, with $\text{q′}{}_{\mathrm{x}}\text{a～(T}{}_2\text{? T)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ and T₂ = 49 K. A possible mechanism for the first order transition at 38 K is proposed. The results are compared with neutron and X-ray scattering and with isotope shifts of the transition temperatures.     

Excitations in the antiferromagnetic Heisenberg chain

Non-singlet excitations of the antiferromagnetic Heisenberg chain of N atoms with spin $\text{1}\text{2}$ are examined. It is found that the energy of the lowest lying excitations for total spin S and wave number q converges to $\text{(}\text{π}\text{2}\text{)|}\text{sin}\text{q |}\text{as}\text{N → ∞,}\text{if only}\text{S?}\text{ln}\text{N}$.     

Satellite electron-diffraction in NbSe3 below T = 59 K

At temperatures below 59 K, coexistence of two types of satellite was observed in reciprocal lattice plane of b¹?c¹ as expressed by $\text{q}{}_1\text{= 0.24}\text{b}{}^1$ and $\text{q}{}_2\text{= 0.26}\text{b}{}^1\text{+0.50}\text{c}{}^1$. On the basis of nesting conditions by these q₁ and q₂, a feature of the Fermi surface for NbSe₃ is discussed.     

The η-η′ mixing angle and the relative radiative decay rates Γ(ψ→ηγ)Γ(ψ→η′γ)

The problem of η-η′ mixing is reexamined within the nonet scheme. It is shown that the mixing angle θ_p is quite sensitive to a small SU(3) violating $\text{27}$ piece. Taking SU(3) violating q$\text{q}$ annihilation terms into account, we obtain a large ratio $\text{Γ(ψ→ηγ)}\text{Γ(ψ→η′γ)}$ which is largely independent of the mixing angle and agrees with the measured value to within 20–30%.     

Quantization of linear maps on a torus-fresnel diffraction by a periodic grating

Quantization on a phase space q, p in the form of a torus (or periodized plane) with dimensions Δq, Δp requires the Planck's constant take one of the values h = ΔqΔp/N, where N is an integer. Corresponding to a linear classical map T of points q, p is a unitary operator U mapping quantum states that are periodic in q and p; the construction of U involves techniques from number theory. U has eigenvalues exp(iα). The ‘eigenangles’ α must be multiples of $\text{2π}\text{n(N)}$, where n(N) is the lowest common multiple of the lengths of the classical ‘cycles’ mapped under T by those rational points in q, p which are multiples of $\text{Δq}\text{N}$ and $\text{Δp}\text{N}$ (i.e. n(N) is the ‘period of T mod N′), at least for odd N. If T is hyperbolic, n is a very erratic function of N, and the classical limit N → ∞ is very different from the ‘Bohr-Sommerfeld’ behaviour for parabolic maps. The degeneracy structure of the eigenangle spectrum is related to the distribution of cycle lengths. Computation of the quantal Wigner function shows that eigenstates of U do not correspond to individual cycles.     

Multiplicity distribution in antiproton-proton interactions

In a compilation of $\text{p}\text{p}$ interactions we present evidence for KNO scaling in the primary momentum region up to 7 GeV/c. The average multiplicity in $\text{p}\text{p}$ interactions and annihilations has a logarithmic increase with energy. The reduced statistical momenta of multiplicity distribution $\text{c}{}_{\mathrm{q}}\text{=}\text{〈n}{}^{\mathrm{q}}\text{〉}\text{〈n〉}{}^{\mathrm{q}}$ are energy independent and for all final states have practically the same values as in proton-proton interactions. In annihilations the c_q to appear to be different from those in pp interactions and the KNO scaling function is also different.     

CP-violating asymmetries in top-quark production and decay in e+e− annihilation within the MSSM

We obtain analytic formulae for the cross section of the sequential processes of $\text{e}{}^{\mathrm{+}}\text{e}{}^{\mathrm{-}}\text{→ t}\text{t}$ and $\text{t → bl}{}^{\mathrm{+}}\text{v /}\text{t}\text{→}\text{b}\text{l}{}^{\mathrm{-}}\text{v}$ in the laboratory frame, where the dependence on triple product correlations of the type ($\text{q}\text{̂}{}_1\text{×}\text{q}\text{̂}{}_2\text{·}\text{q}\text{̂}{}_3$ induced by CP violation both in the production and the decay are explicitly shown. Different observables sensitive to CP violation are defined and calculated in the Minimal Supersymmetric Standard Model (MSSM). The observables sensitive to CP violation are of the order of 10⁻³. The dependence on the masses of the supersymmetric particles is also shown.     

Production of very massive Higgs bosons

We compare Higgs boson production mechanisms at multi-TeV hadronic colliders. In addition to the previously investigated processes gluon + gluon → H and $\text{q}\text{q}\text{→ V}{}^1\text{→}\text{VH}\text{(}\text{V}\text{=}\text{W, Z}\text{)}$, we consider Higgs boson formation by pairs of virtual W's or Z's, a process analogous to two-photon collisions in e⁺e^? scattering. The Higgs production process $\text{W}{}^1\text{W}{}^1\text{→}\text{H}$ is dominated by longitudinal W's and is the most important mechanism for M_H > 6 M_W, if the top quark mass is about 30 GeV.     

Quadruple correlation functions and their application in double polarization experiments and in few-body problems

We define real functions which form a complete, orthogonal and rotational invariant basis for all problems depending on four directions. Their usefulness is demonstrated for processes of the type $\text{a}\text{+}\text{b}\text{→}\text{c}\text{+}\text{d}\text{,}\text{a}\text{+}\text{b}\text{→}\text{c}\text{+}\text{d}\text{,}\text{a}\text{+}\text{b}\text{→}\text{c}{}_1\text{, +}\text{c}{}_2\text{+}\text{d}$. The special case of all four directions in one plane has many applications too, e.g. in two- and three-body problems.     

Measurement of π−p → π0n at large momentum transfer

New results on a high statistics measurement of pion-nucleon charge exchange scattering at 40 GeV/c, extending in momentum transfer up to ?t = 1.8 (GeV/c)², are reported and compared with an optical impact parameter model, together with previous data for the reaction π^?p → ηn at the same energy. The imaginary part of the pole trajectory b₀(s) is determined from the slope of the tangent to the maxima of $\text{(?t)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{d}\text{σ}\text{d}\text{t}$. The linear increase of Im b₀(s) with log s, which has been observed at low energies, continues up to 40 GeV/c.