F. C. Hoh / Natural Science 2 (2010) 398-401

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401

If the Lorentz gauge

0

cd

dc

XW

(42)

were employed, Eq.40 remains unchanged and Eq.39

becomes

0

020 WMW W (43)

This implies that W

has an imaginary mass of Eq.41

and therefore must vanish and Eq.39 remains in effect

valid.

The energy and momentum of the virtual gauge boson

in Eqs.36 and 37 are determined by those of the lepton

pair and are small and can be dropped next to the mass

terms. Hence, Eqs.36 and 37 reduces to

aLLaW

g

WM

22

02 (44)

LbaL

ab

W

g

WM

22

2 (45)

While the triplet W can exist freely and hence be seen,

as is shown in Eq.40, it can also be a virtual intermedi-

ate state in Eq.45 . On the other hand, the singlet W

cannot be observed by Eq.39, but can only be a charged,

virtual intermediate singlet as is seen in Eq.44 . These

results are due to that the signs of the 2

W

terms in

Eqs.36 and 37 are different, which in its turn stems from

that the meson wave functions Eqs.26 and 27 are not

scalar but the time component of a four vector in SSI. In

pseudoscalar meson decays, only the virtual W

enters.

Because Eqs.26 and 27 are independent of flavor, any

pseudoscalar meson can generate the same MW. When

the above treatment is generalized to account for kaon

decay [3], MW is unaltered and the neutral gauge boson

mass becomes MZ=MW/cos (Weinberg angle)=91.02 Gev.

Decay of the W boson into a lepton pair is the same as

that in the standard model. Inserting Eqs.44 and 45 into

Eq.29 leads to a pion beta decay amplitude [3,6] that is

(E0/E)1/2 1 times that of the literature [11] assuming

conserved vector currents.

The value MW

finite cannot and should not be

determined in the present theory so far. If MW were

somehow obtained from some data, it implies a test of

the well-established Fermi constant with far reaching

consequences. This is due to that Fermi constant is

proportional to 2

W

and is hence also is a ratio

finite.

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