I interpreting form factor relations in parton model

In summary, the exercise asks for an interpretation of three relations regarding partons in deep inelastic scattering and the first relation states that the probability of finding any parton with any momentum is 1.
  • #1
mattek1979
2
0
Hello

My first post here and I don't know if this is the right place but I'm trying to get a grip on form factors when it comes to deep inelastic scattering. My tool is Gordon Kane's Modern Elementary Particle Physics. Exercises 5 and 6 chapter 18 seems like good exercises but I need som help in interpreting the meaning of the different relations

Homework Statement



The exercise states that one is to interpret three ralations regarding partons in deep inelastic scattering. Starting with [tex]\int^{1}_{0}{xdx\sum_{i=q, \bar{q}, g} f_i (x) = 1[/tex]

where [tex]f_i (x)[/tex] is the probability of finding i:th parton with fractional momentum x

Homework Equations



My interpretation is that it simply states that the probability of finding any parton with any momentum is 1

Is this correct?
 
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  • #2
The Attempt at a SolutionYes, this is correct. The equation states that the integral of the probability of finding each parton with any fractional momentum x is equal to 1. This means that the probability of finding any parton with any momentum is 1.
 

1. What is a form factor in the context of the parton model?

A form factor in the parton model is a mathematical factor that describes the distribution of the charge or other properties of a particle within its internal structure. It is used to interpret the scattering of particles and determine their internal properties.

2. How is the form factor related to the parton distribution function?

The form factor is directly related to the parton distribution function (PDF). The PDF describes the probability of finding a parton (quark or gluon) with a certain momentum fraction within a particle. The form factor is a crucial component in calculating the PDF and understanding the internal structure of particles.

3. What is the role of form factors in determining the structure of hadrons?

Form factors play a crucial role in determining the structure of hadrons (particles made up of quarks and gluons). They provide information about the distribution of the charges and other properties within the hadron, which is essential for understanding its internal structure and interactions with other particles.

4. How are form factors experimentally measured?

Form factors can be experimentally measured through various scattering experiments, such as electron scattering off hadrons. The scattering data is then used to extract the form factor values and compare them to theoretical predictions from the parton model.

5. Are there any limitations to the use of form factors in the parton model?

Yes, there are some limitations to the use of form factors in the parton model. The form factors depend on the specific model used and may not accurately describe all aspects of particle interactions. Additionally, there may be higher-order effects that are not accounted for in the form factor calculations, leading to discrepancies between experimental data and theoretical predictions.

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