By Sandibek B. Nurushev, Mikhail F. Runtso, Mikhail N. Strikhanov
This publication is dedicated to the polarization (spin) physics of excessive strength debris and comprises 3 elements. the 1st half provides the theoretical prefaces of polarization within the particle physics for interpretations, predictions and bases for realizing the subsequent components. the second one a part of the ebook provides the outline of the fundamental polarization experiments together with the hot ones. This half is dedicated to the leading edge instrumentations, supplies the parameters of the polarized beams, goals, polarized gasoline jets and polarimeters. The 3rd a part of the publication concentrates at the vital achievements in polarization physics. The ebook can be utilized in lectures on nuclear and particle physics and and nuclear tools and techniques. As supplementary studying this e-book comes in handy for researchers operating in particle and nuclear physics.
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Additional info for Introduction to Polarization Physics
Let us consider them in more detail (Shpol’skii 1984b). To clarify the physical picture, we use the classical model in which the hydrogen atom is a system of a proton and an electron revolving around it in an elliptic orbit. The electron has the spin s and, as was found experimentally, the magnetic moment μe . The proton also has spin I and the corresponding magnetic moment μp . The magnetic moment of the proton creates the magnetic field Hp at the electron location point. In order to estimate its magnitude, we pass from the reference frame with the origin at the proton to the frame with the origin at the electron.
With spin (Lee and Wu 1965). Let us consider a number of the properties of the spin operator sˆ with a value of 1/2. This operator sˆ is related to the Pauli operator σˆ as 1 sˆ = σ. 79) Both operators acting in the spin space are axial vectors in the usual coordinate representation. The operator σˆ in the rest system of the particle has the form σx = σ 1 = 0 1 , 1 0 σz = σ3 σy = σ2 = 1 0 = . 81) where δαβ is the unit symmetric tensor of the second rank and εαβγ is the unit antisymmetric tensor of the third rank (both tensors are defined in the three-dimensional space).
7 Elements of Relativistic Quantum Mechanics 39 Let us consider several examples of the rotations of the reference frame. Six planes exist for the four coordinates x, y, z, and t (the number of two-term combinations from a set of four elements is six). Therefore, there are six Lorentz rotations. 1 The infinitesimal rotation about the z axis is specified by the relations x1 = x1 − εx2 , x2 = x2 + εx1 , x3 = x3 , x4 = x4 . 189) In this case, all εμν elements are zero except for ε12 = −ε21 = ε. The four-row matrix Tˆ in this case has the form 1 + 2i ε 1 0 Tˆε = 1 + εγ1 γ2 = 0 2 0 0 1 − 2i ε 0 0 0 0 1 + 2i ε 0 0 0 .
Introduction to Polarization Physics by Sandibek B. Nurushev, Mikhail F. Runtso, Mikhail N. Strikhanov