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Natural System of Units

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Particle Physics
Introduction
  1. Introduction to Particle Physics
  2. Need of High Energy Physics
  3. Four Fundamental Forces
  4. Units in High Energy Physics
  5. Natural System of Units
  6. Particle Accelerators & Types
  7. 1st, 2nd, and 3rd Generation Particles
  8. Center of Mass Frame vs. Laboratory Frame
  9. Gravitational vs Nuclear Binding Energy (Mass Defect)
Invariance Principles & Conservation Laws
  1. Symmetries & Conservation Laws
  2. Continuous Transformations
  3. Discrete Transformation
  4. Parity Transformation
  5. Wu’s Experiment & Parity Violation
  6. Feynman Rules for Quantum Electrodynamics (QED)
  7. Electron-Muon Scattering Amplitude (M) Calculation
  8. Electron-Positron Scattering Amplitude (M) Calculation
  9. SU(1), SU(2), SU(3) – Unitary Groups (QCD)
  10. More topics coming soon…
Problems
  1. Compton Wavelength in Natural Units
  2. No. of Quark Flavors for Coupling Constant QCD = QED
  3. Asymptotic Freedom Vs Confinement?
  4. Why Study of Weak Interactions called flavordynamics?
  5. Why gluons are massless?

 

1. Natural Units

For the natural system, we consider,

$\hbar$ = c = 1

Quantity

Formula

Unit

mass

M$c^{2}$/$ c^{2}$

 

1 GeV

length

$\hbar$c/M$c^{2}$

 

1GeV$^{-1}$ = 0.1975 fm

                time         

$\hbar$c/M$c^{3}$

1GeV$^{-1}$ = 6.59 x 10^{-25} s

 

2. Heaviside-Lorentz Units

For the Heaviside-Lorentz system we consider,

$\varepsilon_0=\ \mu_0\ =\ \hbar\ =\ c\ =1$

Fine structure constant:

$\alpha=\frac{e^2}{4\pi}=\frac{1}{137.06}$

 

3. Relations between Energy Units

  • 1 MeV = 10$^{6}$eV
  • 1 GeV = 10$^{3}$MeV
  • 1 TeV = 10$^{3}$GeV

 

Particle Physics
Introduction
  1. Introduction to Particle Physics
  2. Need of High Energy Physics
  3. Four Fundamental Forces
  4. Units in High Energy Physics
  5. Natural System of Units
  6. Particle Accelerators & Types
  7. 1st, 2nd, and 3rd Generation Particles
  8. Center of Mass Frame vs. Laboratory Frame
  9. Gravitational vs Nuclear Binding Energy (Mass Defect)
Invariance Principles & Conservation Laws
  1. Symmetries & Conservation Laws
  2. Continuous Transformations
  3. Discrete Transformation
  4. Parity Transformation
  5. Wu’s Experiment & Parity Violation
  6. Feynman Rules for Quantum Electrodynamics (QED)
  7. Electron-Muon Scattering Amplitude (M) Calculation
  8. Electron-Positron Scattering Amplitude (M) Calculation
  9. SU(1), SU(2), SU(3) – Unitary Groups (QCD)
  10. More topics coming soon…
Problems
  1. Compton Wavelength in Natural Units
  2. No. of Quark Flavors for Coupling Constant QCD = QED
  3. Asymptotic Freedom Vs Confinement?
  4. Why Study of Weak Interactions called flavordynamics?
  5. Why gluons are massless?

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