Gluon Mass: What Causes 50% of Nucleon Mass?

  • Thread starter Thread starter wolfgang
  • Start date Start date
  • Tags Tags
    Gluons Weight
wolfgang
Messages
17
Reaction score
0
Hi,

We know that the gluons rest mass is 0.On the other hand we also know that the u and d quarks that compose the nucleons are responsible for the 50% of the nycleons mass for the rest 50% are responsible the gluons!

Why the massless gluons “gain” mass when they are inside the nycleons?

Thanks for your time.
 
Physics news on Phys.org
They do not gain mass ...

It is the interaction of the gluons (with themselves by strong interaction cos' they get color, with the quarks ..) that give the major part of the mass of the nucleon

(think of the famous E = m * c * c, that bond mass to energy);
 
wolfgang said:
On the other hand we also know that the u and d quarks that compose the nucleons are responsible for the 50% of the nycleons mass for the rest 50% are responsible the gluons!

Maybe I should add a small "correction" to this statement. What has been found by deep-inelastic experiments, is that at high energies, about 50% of the momentum of a proton must be carried off by non-electromagnetically interacting particles, and the obvious candidates are gluons.
The way this is inferred is that at high energies, deep inelastic electron-proton collisions allow to determine the "population" of quarks as a function of a dimensionless parameter x-Bjorken, which is nothing else but the fraction of the total proton momentum carried by the colliding quark. When integrating this population to find the total momentum carried by "partons interacting with the electron", one arrives at about half the momentum of the proton. Hence the other half has to be carried somehow (within the parton model) by something that is not seen by electrons.
However, it is probably not fair to extrapolate this to the rest mass of a proton, which is more related to the energy levels of bound states in QCD.

cheers,
Patrick.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
Back
Top