The parallel magnetic susceptibility and specific heat of the antiferromagnetic Ising linear-chain system with spin S = 2, 52, and 3

The parallel magnetic susceptibility and specific heat of the antiferromagnetic Ising linear-chain system with spin S = 2, $\text{5}\text{2}$, and 3 are calculated using the matrix approach. The results for spin $\text{S =}\text{1}\text{2}$, 1, $\text{3}\text{2}$, and 2 are checked against known results for these cases.     

Implications of the τ and b spins for theories of quarks and leptons

We argue that the present evidence that the spin of the τ is $\text{1}\text{2}$ is circumstantial, and that a spin of $\text{3}\text{2}$ is not excluded. If the τ spin were $\text{3}\text{2}$, it would have important implications for the idea that leptons and quarks were composite states, perhaps allowing an explanation of the existence of three generations. Supergravity ideas could also be affected. Similar ideas suggest the b-quark could have spin-$\text{3}\text{2}$; we give several ways to test this.     

On a possible test of massive high spin wave equations in heavy-ion scattering

Cross sections and polarization functions for elastic scattering of identical particles with spin 1 are compared in the relativistic $\text{(s,0)+(s?}\text{1}\text{2}\text{,}\text{1}\text{2}\text{)}$ invariant theory, for arbitrary spin, and the $\text{(}\text{1}\text{2}\text{,}\text{1}\text{2}\text{)}$ invariant Proca theory. Heavy-ion scattering is suggested to test high spin theories.     

Higher spin vierbein gauge fermions and hypergravities

The actions describing any massless fermion of spin $\text{?}\text{5}\text{2}$ are given uniformly in terms of non-symmetric vierbein-like fields ψ_μã…ãs. Hamiltonian analysis of their dynamical content is performed explicitly for $\text{s =}\text{5}\text{2}\text{7}\text{2}$, and indicated for the general case. The consistency problems in gravitational coupling are discussed. For spin $\text{5}\text{2}$, they are equivalent to those in symmetric tensor-spinor formulation. The general spin case has the same structure: in Minkowski signature, the consistency requirements are too restrictive (vanishing Weyl tensor); their euclidean counterparts require self-duality in both gravity and matter.     

X-ray photoelectron spectra of iron complexes: Correlation of iron 2p satellite intensity with complex spin state

Metal and ligand core-level spectra have been obtained for 36 iron complexes which possess a variety of ligands including carbonyl, nitrosyl, triphenylphosphine,o-phenylenebis(dimethylarsine), halides and pseudohalides. Formal metal oxidation states range from ? 1 to + 3, and complex spin states represented in the series include 0, $\text{1}\text{2}$, $\text{3}\text{2}$, 2 and $\text{5}\text{2}$. A clear correlation between complex spin state and satellite intensity in the Fe 2p spectra is found. The satellite intensities observed experimentally are in approximate quantitative accord with those predicted by a “spin flipping” model. Although the present analysis does not provide a definitive choice between the “sudden approximation” and “spin flipping” models, the agreement between experimental satellite intensities and the intensities predicted by the “spin flipping” model suggests that such a mechanism can be important in the satellite process.     

Splitting of the conduction bands of GaAs for k along [110]

The splitting of the spin degeneracy of the lowest conduction band of GaAs for $\text{k}$ along [110] is calculated by $\text{k}$·$\text{p}$ perturbation theory as well as by means of the self-consistent LMTO method. The magnitude and the sign of the calculated splitting agree with recent measurements of the spin precession in spin- polarized photoemission from GaAs [110] surfaces.     

New integral representation for the spin S Ising ferromagnet

A recently discovered integral representation for the spin $\text{1}\text{2}$ Ising ferromagnet is generalized to the case of spin S.     

Usefulness of spin dependent electromagnetic hadronic inteference experiments

For the collision of a beam of neutral spin $\text{1}\text{2}$ particles A with a polarized target of spin $\text{1}\text{2}$charged particles B, it is shown that many spin dependent observables display a simple and characteristic structure in t which can be utilized to measure directly the magnitude and phase of the hadronic amplitudes, both helicity-flip and non flip, in the forward direction.     

Consistent supergravity

A combined spin 2 - spin $\text{3}\text{2}$ extension of general relativity is given which is both free of the usual higher spin inconsistencies and invariant under local supersymmetry transformations.     

Production and decay properties of possible spin 32 leptons

A systematic study of production and decay properties of hypothetical charged spin $\text{3}\text{2}$ leptons is presented. These particles are assumed to occur in each lepton family. The simplest V ± A currents constructed with these particle fields and the corresponding spin $\text{1}\text{2}$ neutrinos are assumed to be coupled to the familiar V ? A lepton charged weak currents. Our results are independent from structure models and indicate ways for an experimental search for these particles.     

Absence of the second-order phase transitions in the dimerized Ising chains with spin larger than 12

A general spin S Ising chain interacting with a single phonon mode of the harmonic lattice is studied. The thermodynamics of the spin system is calculated exactly for S = 1, $\text{1}\text{2}$ and $\text{3}\text{2}$, while self-consistent equations for the induced lattice distortions are derived. It is demonstrated that for S >$\text{1}\text{2}$ there is no second-order phase transition, in contrast to the case S = $\text{1}\text{2}$ which was proved to have a tricritical point. This is found to cohere with the previous studies of the dimerized magnetic model chains.     

The zero field Kondo susceptibility at lower temperatures

The zero field impurity spin susceptibility is calculated for spin $\text{1}\text{2}$ Kondo systems. By taking into account the self energy of the transverse impurity spin excitations the previous selfconsistent approximation is modified such that the unitarity bound for spin wave scattering is taken care of. For lower temperatures an improvement for the static susceptibility is achieved.     

On the classical limit of relativistic quantum theories with arbitrary spin

Using the general theory of classical limit developed by the author, we show the existence of classical limit for positive energy representations of the Poincaré group $\text{B}$ of arbitrary spin. The resulting classical phase space is an orbit of $\text{B}$ in the dual of its Lie algebra corresponding to given mass and spin.     

Spin and lifetime of the ω− hyperon

A total of 101 ω^? decays have been found in K^?p interactions at 10 and $\text{16 GeV}\text{c}$. The decay angular distribution has been fitted under the assumptions that the ω^? has spin either $\text{1}\text{2}\text{or}\text{3}\text{2}$. It has been found that the probability of isotropy (spin$\text{1}\text{2}\text{)}$ is less than one in a thousand, whereas the probability for spin $\text{3}\text{2}$ is about 70%. Thus, we exclude the spin $\text{1}\text{2}$ assignment. The lifetime of the ω^? is found to be (1.41_?0.24^+0.15) × 10^?10s, in agreement with our earlier result based on about $\text{1}\text{5}$ of the present sample.     

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 $\text{(}\text{π}\text{2}\text{)|}\text{sin}\text{q |}\text{as}\text{N → ∞,}\text{if only}\text{S?}\text{ln}\text{N}$.     

Quasipotential equation for hydrogen isotopes. Muonic atoms. Ground state energy levels

The quasipotential for the electromagnetic interaction of two particles of spin $\text{1}\text{2}$ or 1 with arbitrary electromagnetic interaction of two particles of spin $\text{1}\text{2}$ or 1 with arbitrary electromagnetic structure is constructed in the one-photon approximation. Todorov's quasipotential equation is applied to calculate the ground state energy levels of the muonic atoms pμ, dμ and tμ with accuracy 10^?3 eV.     

NMR relaxation at low temperature in one dimensional antiferromagnets: Comparison between S = 12 and S = 52

The proton spin-lattice relaxation time T₁ has been measured at low temperatures in spin $\text{5}\text{2}$ (CH₃)₄NMnCl₃ (TMMC) and spin $\text{1}\text{2}$ CuCl₂2NC₅H₅ (CuPC). The two systems have very different temperature dependences which we attribute to the different spin values.     

Intrinsic and rotational states in 173Ta

High spin rotational levels in ¹⁷³Ta are populated in the ¹⁶⁵Ho(¹²C, 4n)¹⁷³Ta and ¹⁷⁵Lu(α, 6n)¹⁷³Ta reactions. The de-excitation γ-ray cascades are studied with Ge(Li) detectors. The rotational bands, which are built on the $\text{7}\text{2}$⁺(404), $\text{5}\text{2}$⁺(402), $\text{9}\text{2}$^?(514) and $\text{1}\text{2}$^?(541) intrinsic states, are identified up to high spin values. A state, interpreted as a three quasi-particle state with a probable spin of $\text{21}\text{2}$ is located at 1713 keV. Its half-life is about 100 ns. The behaviour of the moment of inertia of each rotational band versus the rotational frequency is compared with that of the doubly even core.     

Soft spin 32 fermions require gravity and supersymmetry

If massless fermions of spin $\text{3}\text{2}$ have non-vanishing low-energy couplings, the fermions must have massless partners of spin 2, and all particles to which the fermions couple must display supersymmetry.     

Spin-glass behaviour of [La,Gd]B6 and [La,Dy]B6 alloys

Electrical resistance and absolute thermoelectric power measurements have been made in the temperature range between 2 and 30 K on a few polycrystalline specimens of [L$\text{a}$,Gd]B₆ and [L$\text{a}$,Dy]B₆ with different concentrations of rare earth ions. The resistance of these alloys varies as $\text{～ T}{}^{\mathrm{<mtext>3</mtext><mtext>2</mtext>}}$ which is characteristic of spin glasses at low temperature. The thermoelectric power of all specimens but one, shows a broad positive peak in the lower part of the temperature range and becomes negative at higher temperatures, a feature that is typical of a spin glass to paramagnetic phase transition. The exceptional specimen has a large Gd concentration and its thermoelectric power remains positive to higher temperatures than would be expected for a spin glass.