Introduction to the Physics of Electroweak Interactions by S. M. Bilenky (Auth.)

By S. M. Bilenky (Auth.)

Booklet by means of Bilenky, S. M

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In this system the constant G has dimension ZÂ Actually, the Hamiltonian 7ΰβ (energy density) has dimension L~ 4 . 3) is dimensionless (β2/4π ^ 1/137). 4), which describes the interaction of four-ferm(on fields. At the end of this chapter we shall discuss the intermediate boson hypothesis. According to this hypothesis, the basic weak interaction is the interaction of two-fermion and one-boson (vector) fields. The four-fermion interaction, characterized by the coupling constant (7, is, from the point of view of this theory, an effective interaction resulting from the exchange of virtual bosons between fermion pairs.

3) Here p(x) is the proton field operator, ΑΛ(χ) is the electromagnetic field operator, e is the charge of a proton. 3) we assume that, first, the operators p(x) and n(x) (n(x) is the neutron field operator) enter into the Hamiltonian in the form of the vector p(x) γαη(χ) and, second, the derivatives of the field operators do not enter into the Hamiltonian. c. 4) Here e(x) and v(x) are the field operators of the electrons and neutrinos, and G is the interaction constant (the Fermi constant). We use the system of units in which h = c = 1.

Lee and Yang made the assumption that 0 + and τ+ are both the same particle (now called the K + ) and that the weak interaction responsible for the decay of this particle does not conserve parity. 5* 58 INTRODUCTION TO THE PHYSICS OF ELECTROWEAK INTERACTIONS Here w0 is the probability for unpolarized nuclei to emit electrons; the parameter a characterizes the asymmetry in the emission of electrons with respect to the direction of the polarization vector of the nuclei. If parity is conserved in the decay, then it is clear that H>P(X) = Η> Ρ (-κ) and, consequently, in this case a = 0.

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