_{1}

^{*}

A model of the Z boson is elaborated from a revised quantum electrodynamic theory (RQED) by the author. The electromagnetic steady field is derived from a separable generating function with a convergent radial part, resulting in a vanishing net electric charge and a nonzero spin and rest mass. From the superposition of the solutions of two Z bosons with antiparallel spin directions, a model is further formed of a composite boson, the computed mass mC of which becomes connected with the mass of 91 GeV for each Z boson. This results in a composite boson which is likely to become identical with the heavy particle recently detected at CERN. Both these particles are thus lacking of net electric charge, magnetic field and spin, are purely electrostatic and highly unstable, and have masses close to the value of 125 GeV.

The heavy and unstable particle being recently detected experimentally at CERN [

Recently the author has proposed [

As based on a revised quantum electrodynamic theory (RQED) by the author [^{−18} m, in agreement with that estimated by Quigg [

A characteristic feature of RQED theory, not being available from conventional theory on the vacuum state, is the existence of steady electromagnetic states, leading to models for massive particles at rest. The corresponding potentials can then be derived from a generating function [

The present analysis starts from a separable and axisymmetric generating function

in spherical coordinates

and the electrostatic and magnetostatic potentials are determined by

Here the operator

and the potentials are given by

in terms of the parts R and T of the generating function.

From expressions (3)-(6) the components of the field strengths are now determined by

With

corresponding to a mass density

A radially convergent generating function of the form

is now introduced [

at the normalized radius

The relative extension then becomes

For a fixed value of

In its turn the polar part T becomes more concentrated to the equatorial plane at

With the generating function (13) the normalized field strengths (7)-(10) can be written as

The mass of Equation (12) is now distributed among the four field components of expressions (7)-(10) and (17)-(20) as given by

where

The distributions of each of these masses can be demonstrated in a two-dimensional space defined by the parameters

A superposition is now made of two Z bosons having the same electrostatic potentials given by Equation (5) and opposite cancelling magnetostatic potentials due to Equation (6) with

With the definitions (21) the normalized mass of the Z boson becomes

Here the ratio

The partial masses (21) have been computed from Equations (17)-(21) for various values of

In the experimental investigations on elementary particles of heavy mass, such as those at CERN [

1) For

2) In the integral of expression (21) the square of the generating function RT of Equation (13) is broadly speaking included. This implies that the domain defined by

3) Between the two domains 1) and 2) there is a broad window in parameter space given by the range

The result of

the limit 125 GeV for the manifold of particle geometries determined by varying values of

From superposition of the solutions for two Z bosons with antiparallel spin directions, a model of a composite boson has been formed in terms of the present RQED theory. It connects the computed mass

Due to these results, the composite boson of the present theory is thus likely to become identical with the heavy particle found at CERN. Both particles are namely lacking of net electric charge, magnetic field and spin, are purely electrostatic and highly unstable, and have rest masses close to 125 GeV. The present result has no relation to the theory by Higgs.

The author is indebted to MSc Yushan Zhou for a valuable work with the computations of the present analysis.

BoLehnert, (2015) Minimum Mass of a Composite Boson. Journal of Modern Physics,06,2074-2079. doi: 10.4236/jmp.2015.614214