The $oldsymbol{ ext{Σ}^0}$ baryon, composed of the quark combination $uds$, is produced through the strong interaction between a $oldsymbol{ ext{π}^+}$ meson and a neutron - AQA - A-Level Physics - Question 11 - 2018 - Paper 1
Question 11
The $oldsymbol{ ext{Σ}^0}$ baryon, composed of the quark combination $uds$, is produced through the strong interaction between a $oldsymbol{ ext{π}^+}$ meson and a... show full transcript
Worked Solution & Example Answer:The $oldsymbol{ ext{Σ}^0}$ baryon, composed of the quark combination $uds$, is produced through the strong interaction between a $oldsymbol{ ext{π}^+}$ 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 X in the reaction, we can analyze the conservation of baryon number and charge.
The extπ+ meson has a charge of +1 and is made up of the quark combination uar{d}.
The neutron has a baryon number of +1 and is composed of the quark combination udd.
The extΣ0 baryon has a quark composition of uds and a charge of 0.
Now let's apply conservation laws:
The total charge before the reaction is +1 (from extπ+) + 0 (from neutron) = +1.
After the reaction, extΣ0 also contributes 0 to the charge.
Therefore, for the total charge to still equal +1, the charge of X must be +1.
Now, let's look at the baryon numbers:
The baryon number before is +1 (neutron).
The baryon number after including extΣ0 is also +1; thus, X must have a baryon number of 0.
Through these conservation principles, we find that:
The quark composition of X must maintain neutral charge and a baryon number of 0, which indicates that it cannot contain any baryons. The only suitable option left is the quark combination uar{s} (option D), leading us to the conclusion that X is effectively u{ar{s}}.