This is the eleventh thread in the series on the ABC Preon Model. Links to earlier threads will appear in the comment below.
In an
earlier thread we investigated experiments that allow a determination of the
masses of the A and B preons. In order to determine the mass of the C preon we turn to a look at deep inelastic scattering experiments. Deep inelastic
scattering experiments are done by having a high energy electron beam collide with hadronic matter. For the case of the proton, these experiments
resulted in observations consistent with 35% of the proton momentum being carried by particles with positive charge, about 18% by particles with
negative charge, and 47% by particles of neutral charge. The standard model agrees with these values by assigning 35% of the proton momentum to be
carried by positively charged up quarks, 18% of the proton momentum to be carried by negatively charged down quarks, and the remaining 47% to be
carried by charge neutral gluons.
For the ABC Preon Model the situation will of course be a bit different. The proton as understood by the ABC Preon Model is shown below:
In the ABC Preon Model, it is readily observed that if we set the mass of the C particle to be 67.9 GeV/c^2, we have a situation where 35% of the mass
of the proton consists of the positively charged C particle, 18% by the mass of the negatively charged B particle (34.8 GeV/c^2), and 47% by the mass
of the two uncharged A particles (45.6 GeV/c^2 each, for a total of 91.2 GeV/c^2). Hence, by fitting a single parameter (the C mass) we obtain a good
fit to all three data points. When developing this model, I was struck by this fact. There were not enough free parameters to fit the data, and
therefore I took this to be a rather strong confirmation that the model is indeed representative of nature. The ABC Preon Model did not need an
additional proposal to explain the result, such as the gluon proposal needed for the standard model interpretation. Also, like the quark model, the
ABC Preon Model involves small particles within the proton that can serve as scattering centers for the hard scattering events discovered in the deep
inelastic scattering experiments. It appeared to be an excellent fit between the ABC Preon Model and experiment.
The original publication of the ABC Preon Model appeared in the reviewed journal Physics Essays in 1997. At that time, the issue of deep inelastic
scattering was treated no further than what is mentioned above. Yet while the ABC Preon Model readily explains the right division of momentum within
the proton, deep inelastic scattering analysis involves more than just that simple top-level result. The Standard Model analysis of deep inelastic
scattering goes much further and is
quite detailed and
complicated. (Ref. 1)).
There are a couple issues of concern when we dig further into deep inelastic scattering as it pertains to the ABC Preon Model. The first issue of
concern is that the ABC Preon Model specifies that the small objects within the proton have masses on the scales of 10's of GeV, and that is much
larger than the quark masses of the Standard Model. However note that early theorizing regarding deep inelastic scattering involved the possibility of
heavy proton constituents. Quoting from one of the
Nobel
prize lectures (Ref. 2): "there was a serious problem in making the 'free' behavior of the constituents during photon absorption compatible
with the required strong final state interaction. One of the ways to get out of this difficulty was to assign quarks very large masses" (Ref. 2, page
9 of the 24 page PDF, which is labeled as page 723.) The second issue of concern with the ABC Preon Model is that the "isospin symmetry" argument
used in Ref 1 is now rather dubious, since in the ABC Preon Model the neutron will have a different number of charged scattering centers than does the
proton. Although as far as neutrons are concerned, we should note that there are problems with understanding deep inelastic scattering still to this
day. (See
Ref. 1, bottom of page 11 of the 15 page PDF,
which is labeled as page 197.)
Despite the above issues, there is reason to believe that the ABC Preon Model is consistent with the deep inelastic scattering experiments due
similarities between it and the quark model. In the quark model of the proton, the ratio of the charge on the positively charged up quarks to the
charge on the negatively charged down quarks is -2. (2/3rds to -1/3rd.) In the ABC Preon Model of the proton, the ratio of the charge on the
positively charged C particle to the negatively charged B particle is also -2. (2 to -1). Also, the ratio of the mass of the positive charges within
the proton to the mass of the negative charges within the proton is the same in both models. As a result of these facts, it should be possible to
obtain a match to the experimental data by adjusting the assumed probabilities that underlie the calculation. Note that while Ref. 1 does not mention
the assumed probabilities behind the deep inelastic scattering analysis,
the Nobel prize lecture, Ref. 2, does. (See Ref. 2,
P(N) on page 8 of the 24 page PDF, which is labeled as page 722.) Therefore the ABC Preon Model will continue to use the high level deep inelastic
scattering results to set the C mass at 67.9 GeV/c^2, noting that this also results in the positive, negative and neutral constituents of the proton
having the same contribution to proton momentum as they do in the present quark model.
With the masses for the A, B, and C preons now estimated, it is a good time to step back and take notice of an important aspect of the theory. Recall
that we have postulated than the massive leptons are made up of an A antiparticle bound to a B particle with a force mediated by the neutrino. And yet
we have seen that the mass of the A is 45.6 GeV/c^2 and the mass of the B is 34.8 GeV/c^2. But the mass of the lightest massive lepton, the electron,
is only 511 keV/c^2. Therefore the ABC Preon Model is proposing that the constituents of the electron weigh about 100,000 times more than the electron
itself! Of course such a situation is indeed entirely possible. Perhaps the best known equation in all of physics, incorrectly attributed to Einstein
by the way, is the formula E = mc^2.
It is well known that the atomic nuclei that bind protons with neutrons have lower masses than the sum of the masses of the protons and neutrons
making them up. The lighter mass is due to the effect of the binding energy between the protons and neutrons. Similarly, in the ABC Preon Model, the
light mass of the electron shows that there is a considerable amount of binding energy between the A and the B. In fact, the binding energy is so
large that the mass of the electron is only a small fraction of the mass of its constituents. This condition also holds for the hadrons and mesons, as
they are much lighter than their constituents as well.