Exactly solvable spin-12 quantum chains with multispin interactions

A generalized spin-$\text{1}\text{2}$ quantum chain with m (n) spin interactions for the z (x) component of the spins is shown to be self-dual. Through duality, the m arbitrary, n = 2 version of the model is transformed into m independent Ising chains in a transverse field, allowing us to get the exact values of the critical exponents for any m (v = s = z = 1; β = m/8; n_x = m/4) and the spectrum. The anisotropic XY chain is a particular case with = 2.     

Variation Angulaire,Transitions Interdites Dans Le Spectre De R.P.E. Des Ions Mn2+ Dans L'alumine α

The spin Hamiltonian with trigonal symmetry for Mn²⁺ in Al₂O₃ has been derived. The line positions have been calculated using perturbation theory up to third order. Three groups of forbidden transitions ΔM = ± 1 Δm = ± 1 have been investigated. Q′ and γ have been deduced from for forbidden hyperfine doublets. The two evaluations of the spin Hamiltonian parameters from allowed (Δm = 0) and forbidden lines (Δm = 1) are discussed.     

Surface quantum oscillations in (110) and (111) n-type silicon inversion layers

Shubnikov-de Haas oscillations have been studied for (110) and (111) n-type silicon inversion layers. The measured cyclotron masses m_c = (0.38 ± 0.03)m₀ and m_c = (0.40 ± 0.03)m₀ for (110) and (111) planes, respectively, are larger than theoretically predicted values. The experimental valley degeneracy factor g_v = 2 ± 0.2 for both orientations is also at variance with self consistent calculations. The electronic g-factor depends on the surface carrier concentration and is enhanced over its bulk value. There was no evidence for the occupation of other subbands.     

Gamma decay of low-lying states in S and Ar

Decay modes and lifetimes of low-lying levels in ³⁰S and ³⁴Ar were investigated by the Doppler-shift attenuation method using the ²⁸Si(³He, n)³⁰S and ³²S(³He, n)³⁴Ar reactions. The lifetimes measured in ³⁰S were (in fs): τ_m(2210) = 310 ± 75, τ_m(3402) = 160 ± 45 and τ_m(3664) > 1400; and in ³⁴Ar: τ_m(2090) = 150 ± 50, τ_m(3286) = 120 ± 65 and τ_m(4513) = 300 ± 80, also in fs. These results are compared with theoretical calculations. A comparison of the E2 decay strengths in masses 30 and 34 is also made to test the isospin dependence of electro-magnetic transitions.     

Two-dimensional conformal invariant theories on a torus

The study of unitary conformal invariant theories on a torus reveals two important properties: the partition function and correlation functions may be expressed in terms of free (gaussian) field modes, and the modular invariance dictates the operator content of the theory: for a generic value of the central charge c = 1−/m(m + 1), there exist at least two distinct models depending whether m = 0,3 mod or m = 1,2 mod 4. The case of non-unitary c < 1 theories is also briefly discussed.     

Klein paradox in the Breit equation

We demonstrate that in the Breit equation with a central potentialV(r) having the propertyV(r ₀)=E there appears a Klein paradox atr=r ₀. This phenomenon, besides the previously found Klein paradox arr→∞ appearing ifV(r)→∞ atr→∞, seems to indicate that in the Breit equation valid in the singleparticle theory the sea of particle-antiparticle pairs is not well separated from the considered two-body configuration. We conjecture that both phenomena should be absent from the Salpeter equation which is consistent with the hole theory. We prove this conjecture in the limit ofm ⁽¹⁾→∞ andm ⁽²⁾→∞, where we neglect the terms ～1/m ⁽¹⁾ and 1/m ⁽²⁾. In Appendix I we show that in the Breit equation the oscillations accumulating atr=r ₀ in the case ofm ⁽¹⁾≠m ⁽²⁾ are normalizable to the Dirac δ-function. In Appendix II the analogical statement is justified for the nonoscillating singular behaviour appearing atr=r ₀ in the case ofm ⁽¹⁾=m ⁽²⁾.     

The glueball mass spectrum in QCD: First results of a lattice Monte Carlo calculation

We perform a variational calculation of the masses of glueballs of various spins and parities in SU(2) gauge theory. The quantum vacuum we use is generated by the lattice Monte Carlo technique. Our first results, obtained on medium sized lattices give m(0⁺) = (3.6 ± 0.35) Λ_mom, m(0^? = (6.0 ± 1.0)Λ_mom, m(2⁺) = (6.5^+1.8_?1.1)Λ_mom, various mass upper bounds and information on glueball wave functions.     

Some physical properties of Ternary germanium bismuth telluride (GeBi4Te7) semiconducting crystals

High purity crystals of GeBi₄Te₇ have been prepared, and values of the electrical conductivity, thermoelectric power, Hall constant and of the i.r. reflectivity in the plasma oscillation region have been obtained. To interpret the results a simple three-valley model of the constant energy surfaces is proposed. Values of the dielectric constant (?_g = 35), high frequency index of refraction (n_λ→0 = 5.9), the character of scattering of the free carriers, the Fermi level (E_F = 0.16eV), the mean relaxation time of the free carriers (〈τ〉) = 5.79 × 10^?15sec), the free electron concentration (N = 1.63 × 10²⁰cm^?3), the conductivity effective mass $\text{(m}{}^1{}_{\mathrm{c}}\text{= 0.27)}$ and m₁ = m₃ = 0.51 m₃, m₂ = 0.18 m₀ have been calculated.     

Measurement of the kaon mass difference mL-mS by the two regenerator method

The K⁰ mass difference has been measured by the two regenerator method. The result is: Δm = m_KL ? m_KS = (0. 534 ± 0.003) × 10¹⁰ sec^?1.     

Nuclear fragmentation in 35Cl-induced reactions at 11 MeV/u bombarding energy

The reactions ³⁵Cl + ⁵⁸Ni,⁴⁰Ca, ²⁷Al are studied at 385 MeV bombarding energy. The experiment employs 6 large-area ionization chambers which are set up to detect fragments with nuclear charge $\text{Z ≧ 4}$ in coincidence multiplicity m ≦ 6. The highest multiplicity observed is m = 4; a detailed analysis of the data is performed for m = 2 and m = 3 events. The ⁵⁸Ni data contain reactions with 2 fragments (σ = 1350±500 mb) and 3 fragmentes (σ = 175±90 mb) in the exit channel. The three fragments appear to have their origin in two different processes: a sequential-fragmentation process and a fast break-up process. A similar conclusion is reached for the ²⁷Al data, whereas in the ⁴⁰Ca data only the sequential fragmentation could be identified.     

Chiral symmetry breaking in QCD; Mesons as spin waves

The strong chiral symmetry breaking in Wilson's lattice version of QCD is discussed and interpreted as a necessary manifestation of the triangle anomaly. At strong coupling the effective hamiltonian acting in the s-wave hadron sector is found to describe a generalized antiferromagnet which is analyzed with the $\text{1}\text{2}\text{S}\text{(= 1/N, N = N}{}_{\mathrm{<mtext>color</mtext>}}\text{)}$ expansion known in the theory of magnetism. Mesons emerge as spin waves: pseudoscalars as Nambu-Goldstone bosons, vectors as “dormant” Goldstone bosons. Current and dynamical quark masses are identified, such that m_P² ∫ m(cur), m_v≈2[m(cur) + m(fyn)], and a fit to the particle spectrum gives m(dyn) = 390 MeV, m_u,d(cur) = 5.4 MeV, m_s(cur) = 140 MeV, m_c(cur) = 1.07 GeV. Static baryons emerge with a mass m_B = N[m(dyn) + m(cur)] + a contribution which is argued to vanish in the continuum limit. Vector and axial vector currents are defined on the lattice and studied at strong coupling. The relations $\text{1 =}\text{3}\text{5}\text{g}{}_{\mathrm{<mtext>A</mtext>}}\text{γ}{}_{\mathrm{?}}\text{(f}{}_{\mathrm{\pi }}\text{/m}{}_{\mathrm{?}}\text{)(Z}{}_{\mathrm{\pi }}\text{/Z}{}_{\mathrm{?}}\text{)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$, Z_π/Z_? = 3.0 are found to agree with experiment. The resolution of the U(1) problem at strong coupling is discussed.     

On the RIR modes of the modern English church bell

New finite element calculations for a modern D₅ Taylor church bell show that the regime change previously postulated at about m = 7 for RIR modes does not occur. The experimental frequency data for these modes have therefore been re-examined and found to fit f_m = 256 (m − 1)^1·404 Hz.     

Decay of helicity in homogeneous turbulence

The self-similar relaxation of helicity in homogeneous turbulence has been considered taking into account integral invariants ∫ ₀ ^∞ r ^m 〈u(x)ω(x + r)〉 dr = I _m ^h (where ω = curlu and r = |r|). It has been shown that integral invariants with m = 3 for both helicity and energy are possible in addition to helical analogs of Loitsyanskii (m = 4) and Birkhoff-Saffman (m = 2) invariants associated with the conservation laws of momentum and angular momentum, respectively. Helicity always relaxes more rapidly than the energy. Its decay exponent is in the interval from ?3/2 to ?5/2 versus the interval from ?6/5 to ?10/7 for the energy.     

Entropy in multiparticle production and ultimate multiplicity scaling

The entropy S = − ΣP(n) ln P(n) of multiplicity distributions of charged particles in hadron-hadron collisions is investigated. The observed linear increase of S with maximum possible CMS rapidity Y_m, S = (0.417 ± 0.009) Y_m, may be a special case of a more general scaling S/Y_m = F(y_c/Y_m, found in (pseudo) rapidity windows |y| <y_c. We predict an ultimate multiplicity scaling in the few TeV region.     

Coherence resonance on a forbidden magnetic-dipole transition excited in optically oriented Cs atoms by two magnetic fields: an Inclined SHF field and a transverse RF field

It is shown that the coherence created by a resonance transverse superhigh-frequency (SHF) field induces, under the action of a longitudinal SHF and transverse radio-frequency (RF) nonresonance fields, the Zeeman coherences on two adjacent allowed Δm = 1 transitions. Under the action of an RF transverse field these coherences induce further a coherence on a forbidden Δm = 2 transition. The resonance behavior of such coherence was earlier observed experimentally when the RF-field frequency coincided with the Δm = 2 transition frequency. The theoretical conclusions are in quantitative agreement with the experiment.     

Precision lifetime measurements with the coincident high-velocity DSA method in inverse reactions

Mean lives of low-lying states of ¹⁸O, ³⁰Si, ³³S and ³⁴S have been measured with the Dopplershift attenuation method by heavy-ion bombardment of ²H and ³H targets. The γ-ray Doppler patterns are observed with a large Ge(Li) detector at 0° in coincidence with protons around 180°, so that the experiments are performed with high-velocity, mono-energetic and unidirectional beams of nuclei in well-defined excited states. Interpretation of the γ-ray patterns measured with Mg, Al, Cu and Ag as slowing-down material, with accurately known experimental stopping powers yields consistent results with small errors: ¹⁸O, τ_nm (1.98 MeV) = 2790 ± 110 fs; ³⁰Si, τ_m(2.24) = 351 ± 19 fs and τ_m(3.50) = 89 ± 8 fs; ³³S, τ_m(0.84) = 1650 ± 50 fs and τ_m(2.31) = 206 ± 8 fs; ³⁴S, τ_m(2.13) = 470 + 20 fs and τ_m(3.30) = 196 ± 13 fs. The deduced transition strengths are compared with results from large-scale shell-model calculations.     

The Hamiltonian structure of the N = 2 supersymmetric GNLS hierarchy

The first two Hamiltonian structures and the recursion operator connecting all evolution systems and Hamiltonian structures of the N = 2 supersymmetric (n, m)-GNLS hierarchy are constructed in terms of N = 2 superfields in two different superfield bases with local evolution equations. Their bosonic limits are studied in detail. New local and nonlocal bosonic and fermionic integrals both for the N = 2 supersymmetric (n, m)-GNLS hierarchy and its bosonic counterparts are derived. As an example, in the n = 1, m = 1 case, the algebra and the symmetry transformations for some of them are worked out and a rich N = 4 supersymmetry structure is uncovered.     

Effect of surface states on luminescent properties of CdS single crystals

The luminescent properties of CdS single crystals excited by strongly absorbed light have been investigated for accumulation and depletion layers near the surface. The spectral distribution and change of intensity in maxima of emission bands were measured as functions of surface potential being varied by electric field (the luminescence field effect, LFE). Emission bands under examination were: r-band (λ_max = 1.03 μm), k-band (λ_max = 0.72 μm), o-band (λ_max = 0.62 μm) and IR-2 band (1.5–2.2 microm). The effects found (non-monotony of LFE for accumulation surface layers, the selectiveness of field action) indicate that the centres of red luminescence in the crystals studied are situated mainly near the surface or on the surface itself.     

Photoelectron spectra and sum rule consideration: Effect of chlorine substitution on ionization energies for chloroethanes,chloroacetaldehydes and chloroacetyl chlorides

He(I) photoelectron spectra are reported for various series of chlorine-substituted compounds: (a) CH₃CH_3?mCl_m, (b) CH_3?mCl_mCCl₃, (c) CH_3?mCl_mCHO and (d) CH_3?mCl_mCOCl, where m = 1, 2 and 3. In each series it is shown that the total sum of vertical ionization energies over all p-type localized molecular orbitals (LO's) has an excellent linear relationship to the number of substituted chlorine atoms. The differences in the total orbital energy sum by successive chlorine substitutions are found to be 26.7 eV for series a and b and 27.2 eV for series c and d, yielding the corresponding experimental σ_CCl, energies useful for sum rule considerations. The photoelectron spectra of the chloro compounds studied are interpreted with the help of the sum rule as well as CNDO/2 calculations. Orbital correlation diagrams have been constructed for these compounds.     

Quark masses and cabibbo angles

A simple symmetric pattern of Higgs fields in an SU (2)_L × SU (2)_R × U (1) gauge model with six quarks yields: tan²θ_c = m_d/m_s and θ_c = 15° in good agreement with experiment. A eight-quark extension of the model leads to successful determination of the three Cabibbo-like angles connecting the first six quarks and to the prediction m_t ～ 9.3 m_c ～ 14 GeV.