Constant

Expression

Value [cgs]

mass

$m_{\mu }$

1.883531627 × 10⁻²⁵ g [17]

$\frac{\text{muonmass}}{\text{electronmass}}$

$\frac{m_{\mu }}{m}$

206.768283

$\frac{muonmass}{electronoutershellmass}$

$\frac{m_{\mu }}{m^{+}}=\frac{2\alpha }{3}\frac{m_{\mu }}{m}$

1.005907374

magnetic moment

$M_{\mu }$

−4.49044830 × 10⁻²³ emu [18]

$\frac{electronmagneticmoment}{muonmagneticmoment}$

$\frac{M}{M_{\mu }}$

206.766988

$momentratio\times \frac{finestructureconstant}{3/2}$

$\frac{M}{M_{\mu }}\frac{2\alpha }{3}$

1.005901074

radius

$R_{\mu }=\frac{q^2}{m_{\mu }{c}^2}$

1.36284941 × 10⁻¹⁵ cm

$\frac{electronradius}{muonradius}$

$\frac{R}{R_{\mu }}$

206.768283

$\frac{electronradius}{muonradius}\times \frac{finestructureconstant}{3/2}$

$\frac{R}{R_{\mu }}\frac{2\alpha }{3}$

1.005907374

shape eccentricity

$\frac{R_{\mu }}{r_{\mu }}=\sqrt{\frac{2M_{\mu }\alpha }{q{R}_{\mu }}}$

1.000582791

$\frac{muonshapeeccentricity}{electronshapeeccentricity}$

$\frac{R_{\mu }}{r_{\mu }}÷\frac{R}{r}$

1.000003131

$\frac{outershellcharge}{muoncharge}=\frac{outershellmass}{muonmass}$

$\frac{q_{\mu }^{-}}{q}=\frac{m_{\mu }^{+}}{m_{\mu }}=\frac{3}{2\alpha }$

205.5539986

(equal to the electron ratios)

$\frac{\text{centralcorecharge}}{\text{muoncharge}}=\frac{\text{centralcoremass}}{\text{muonmass}}$

$\frac{q_{\mu }^{+}}{q}=\frac{m_{\mu }^{-}}{m_{\mu }}=1-\frac{3}{2\alpha }$

−204.5539986

(equal to the electron ratios)