Exercise 1: Nucleons' magnetic moment, revisited The origin of the...

  1. Home
  2. Homework Library
  3. Physics
  4. Physics - Other
  5. Exercise 1: Nucleons' magnetic moment, revisited The origin of the...

QuestionQuestion

Transcribed TextTranscribed Text

Exercise 1: Nucleons' magnetic moment, revisited The origin of the proton and neutron magnetic moments can be explained in terms of the magnetic moments of their quark content. For spin-up quarks, the expectation vaues of the z-component of the magnetic moment of the up- and the down-quarks are: = T u = 2 eh = + un (1) Hd = d = eh = 3md un Given the nuclear magneton un = eh/2mp. The corresponding expression for the spin-down states are: (u = (2) a) Assuming that a baryon's total magnetic moment along Z is the vector sum of the magnetic moments of the three constituent quarks along the same axis: And thus the magnetic moment of the proton can be written as: = Use the symmetrized wave function of the proton u d - u u d - u t u t d t) (3) To express the proton's magnetic moment in terms of the magnetic moments of its constituent quarks. b) Relate the proton's wave function to the neutron's one and express the neutron magnetic moment in terms of its constituents c) Assuming mr ~ md use the previously derived relations to express the ratio Hp/Hn and compare with the measured value (http://pdg.lbl.gov)

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf.

    50% discount

    Hours
    Minutes
    Seconds
    $13.00 $6.50
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Physics - Other Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats