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The $ar{ ext{Σ}}^0$ baryon, composed of the quark combination uds, is produced through the strong interaction between a $ ext{π}^+$ meson and a neutron - AQA - A-Level Physics - Question 11 - 2018 - Paper 1

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The-$ar{-ext{Σ}}^0$-baryon,-composed-of-the-quark-combination-uds,-is-produced-through-the-strong-interaction-between-a-$-ext{π}^+$-meson-and-a-neutron-AQA-A-Level Physics-Question 11-2018-Paper 1.png

The $ar{ ext{Σ}}^0$ baryon, composed of the quark combination uds, is produced through the strong interaction between a $ ext{π}^+$ meson and a neutron. $ ext{π}^+... show full transcript

Worked Solution & Example Answer:The $ar{ ext{Σ}}^0$ baryon, composed of the quark combination uds, is produced through the strong interaction between a $ ext{π}^+$ meson and a neutron - AQA - A-Level Physics - Question 11 - 2018 - Paper 1

Step 1

What is the quark composition of X?

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Answer

To determine the quark composition of the particle X produced in the interaction, we can analyze the reaction:

  1. The initial particles involved are:

    • The extπ+ ext{π}^+ meson, which has a quark composition of uar{d}.
    • The neutron (nn), which consists of the quark combination uddudd.
  2. The final products of the reaction are:

    • The extΣ0 ext{Σ}^0 baryon, which is composed of udsuds.
    • The particle X, whose quark composition we need to find.
  3. We can apply the conservation of baryon number and charge:

    • The total charge and baryon number before and after the interaction must remain the same.
  4. Before the interaction:

    • The charge of the system is the sum of the charges of the particles: +1+1 (from extπ+ ext{π}^+) + 00 (from neutron) = +1+1.
  5. After the interaction:

    • The extΣ0 ext{Σ}^0 baryon has charge 00, so particle X must have a charge of +1+1 to balance the initial charge at +1+1.
  6. Analyzing the answer choices:

    • A) usˉus̄ (charge 00)
    • B) udud (charge +1+1)
    • C) udˉud̄ (charge 00)
    • D) udˉsud̄s (charge +1+1)
  7. Given that particle X needs to balance the reaction charge, the only suitable options are B or D:

    • Choice B (udud) does provide the required charge of +1+1.
    • Choice D (udˉsud̄s) does as well; however, it consists of three quarks and is not the simplest form.
  8. Therefore, the simplest and most appropriate answer is:

Answer: B - udud

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