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
Question 11
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:
The initial particles involved are:
The extπ+ meson, which has a quark composition of uar{d}.
The neutron (n), which consists of the quark combination udd.
The final products of the reaction are:
The extΣ0 baryon, which is composed of uds.
The particle X, whose quark composition we need to find.
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.
Before the interaction:
The charge of the system is the sum of the charges of the particles: +1 (from extπ+) + 0 (from neutron) = +1.
After the interaction:
The extΣ0 baryon has charge 0, so particle X must have a charge of +1 to balance the initial charge at +1.
Analyzing the answer choices:
A) usˉ (charge 0)
B) ud (charge +1)
C) udˉ (charge 0)
D) udˉs (charge +1)
Given that particle X needs to balance the reaction charge, the only suitable options are B or D:
Choice B (ud) does provide the required charge of +1.
Choice D (udˉs) does as well; however, it consists of three quarks and is not the simplest form.
Therefore, the simplest and most appropriate answer is: