Extreme depolarization for any spin

W Spin for Any Spin

The collinear group SU(6)w enables us to discuss vertices, form factors and other collinear processes in an SU(6)-theory which is consistent with relativistic invariance. It leads, however, to a classification of the particles which is different from that of the “staticL SU(6)s. The general “W-spin” properties of an arbitrary spin state constructed from any number of basic spin i objects are di...

The Dirac Algebra for Any Spin∗

Entanglement and extreme spin squeezing.

For any mean value of a Cartesian component of a spin vector we identify the smallest possible uncertainty in any of the orthogonal components. The corresponding states are optimal for spectroscopy and atomic clocks. We show that the results for different spin J can be used to identify entanglement and to quantify the depth of entanglement in systems with many particles. With the procedure deve...

THE PROTON SPIN PUZZLE AND DEPOLARIZATION IN p̄p → Λ̄Λ

We point out that the measurement of target spin depolarization Dnn in the p̄p → Λ̄Λ reaction may test dynamical mechanisms invoked to explain the proton spin puzzle revealed by polarized deep–inelastic scattering experiments. In particular, models with negatively polarized s̄s pairs in the proton wave function predict Dnn < 0, whereas models with positively polarized gluons would predict Dnn > 0....

Extreme value statistics distributions in spin glasses.

We study the probability distribution of the pseudocritical temperature in a mean-field and in a short-range spin-glass model: the Sherrington-Kirkpatrick and the Edwards-Anderson (EA) model. In both cases, we put in evidence the underlying connection between the fluctuations of the pseudocritical point and the extreme value statistics of random variables. For the Sherrington-Kirkpatrick model,...