Another Formula for the Charged Lepton Masses

Abstract

A charged lepton mass formula $(m_e +m_μ+ m_τ)/(\sqrt{m_e}+\sqrt{m_μ} + \sqrt{m_τ})^2 =2/3$ is well-known. Since we can, in general, have two relations for three quantities, we may also expect another relation for the charged lepton masses. Then, the relation will be expressed by a form of $\sqrt{m_e m_μm_τ}/(\sqrt{m_e}+\sqrt{m_μ} + \sqrt{m_τ})^3$. According to this conjecture, a scalar potential model is speculated.

5 pages, no figure; a typo in Eq.(7) corrected