New Theoretical Results about the Mass Spectrum of Elementary Particles

L.G Sapogin,Yu.A Ryabov

doi:10.5539/apr.v2n1p86

Abstract

The particle is represented by the wave packet in nonlinear space-time continuum. Because of dispersion, thepacket periodically appears and disappears in movement and the envelope of the process coincides with the wavefunction. There was considered the partial differential equation of telegraph-type describing the motion of suchwave packet in spherical coordinate space (r,θ ,?) . There was constructed also the analytical solution u(r,θ ,?)of this equation and the integral over all space of 2 2 gradu was supposed being equal to the mass of the particleidentified with the wave packet. As the solution u(r,θ ,?) depends on two parameter L,m being positiveinteger, it was possible to calculate our theoretical particle masses MLm for different L,m. So, we haveobtained the theoretical mass spectrum of elementary particles. The comparison with known experimental massspectrum shows our calculated theoretical mass spectrum is sufficiently verisimilar.

Highlights

T every wave packet constructed from de Broglie waves with the spectrum a(k) satisfying the condition of Viner-Pely
Our idea to consider a particle as some moving wave packet which periodically disappears and appears in movement, has allowed to arrive to the conclusion [Sapogin L.G., 2005; 2008] that such particle may be described by the common telegraph – type equation of second order
We will show that eq (2) (considered in the case of 3-dimension coordinate space (r,θ,φ) ) allows, namely, to determine theoretically the mass spectrum of elementary particles

Summary

Introduction

T every wave packet constructed from de Broglie waves with the spectrum a(k) satisfying the condition of Viner-Pely Of this equation and the integral over all space of gradu 2 2 was supposed being equal to the mass of the particle identified with the wave packet.

Results

Conclusion