Mathematical Principles of Theoretical Physics

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 287 In 1974, Ting and Richter discovered independentlyJ/ψparticle, which implies the ...

288 CHAPTER 5. ELEMENTARY PARTICLES 3) Mediator decay: 2 γ→e++e−, (5.3.3) W±→l±+νl±, Z→l++l−, wherel±are the charged leptons. Al ...

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 289 sis the spin, and ~S= (S 1 ,S 2 ,S 3 ), Sk=h ̄ ( σk 0 0 σk ) , andσk( 1 ≤k≤ 3 )ar ...

290 CHAPTER 5. ELEMENTARY PARTICLES Usually, we regardmas a static mass which is fixed, and energy is a function of velocityv. N ...

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 291 Layered formulas of strong interaction potentials The layered properties of stron ...

292 CHAPTER 5. ELEMENTARY PARTICLES For the weak interaction, there are about four levels: weaktons, mediators, quarks and charg ...

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 293 Table 5.8: Weakton quantum numbers Weakton Qe Qw Qs Qc Le Lμ Lτ B J m w∗ 2 / 3 1 ...

294 CHAPTER 5. ELEMENTARY PARTICLES 5.3.4 Weakton constituents and duality of mediators In this section we introduce the weakton ...

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 295 we takeα 1 ,α 2 ,β 1 ,β 2 in (5.3.22) as follows α 1 =cosθw, α 2 =−sinθw, β 1 =si ...

296 CHAPTER 5. ELEMENTARY PARTICLES 1.Weakton confinement.The weak interaction potentials (5.3.15) and the weak charge formula ( ...

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 297 w w ̄ o Figure 5.8 the massless weaktons rotate at the speed of light. Hence, the ...

298 CHAPTER 5. ELEMENTARY PARTICLES Actually, in the weakton exchange theory in the next section, we can see that the particles ...

5.3. WEAKTON MODEL OF ELEMENTARY PARTICLES 299 bounding particles will rotate, at high speed with almost zero moment of force, w ...

300 CHAPTER 5. ELEMENTARY PARTICLES 5.4 Mechanisms of Subatomic Decays and Electron Radia- tions 5.4.1 Weakton exchanges We conc ...

5.4 Mechanisms of Subatomic Decays and Electron Radiations. There is a probability for these weaktons inAandBto recombine and fo ...

302 CHAPTER 5. ELEMENTARY PARTICLES 3.Weakton exchanges between quarks and mediators. Thed-quark decay in (5.3.2) is written as ...

5.4. MECHANISMS OF SUBATOMIC DECAYS AND ELECTRON RADIATIONS 303 3.Energy conservation.Energy conservation is a universal physica ...

304 CHAPTER 5. ELEMENTARY PARTICLES With the weakton model, all decays are carried out by exchanging weaktons. Hence decay types ...

5.4. MECHANISMS OF SUBATOMIC DECAYS AND ELECTRON RADIATIONS 305 which is rewritten in the weakton components as (5.4.18) νμ+νew ...

306 CHAPTER 5. ELEMENTARY PARTICLES w 1 w 2 νμ w 1 w 2 νe w 1 w 2 νe νe νμ νμ e− μ− Figure 5.12:e-μscattering. They are rewritte ...