Photo AI

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 icon

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-neutron-AQA-A-Level Physics-Question 11-2018-Paper 1.png

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?

96%

114 rated

Answer

To determine the quark composition of X in the reaction, we can analyze the conservation of baryon number and charge.

  1. The extπ+ ext{π}^+ meson has a charge of +1 and is made up of the quark combination uar{d}.
  2. The neutron has a baryon number of +1 and is composed of the quark combination uddudd.
  3. The extΣ0 ext{Σ}^0 baryon has a quark composition of udsuds and a charge of 0.

Now let's apply conservation laws:

  • The total charge before the reaction is +1+1 (from extπ+ ext{π}^+) + 00 (from neutron) = +1+1.
  • After the reaction, extΣ0 ext{Σ}^0 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 ext{Σ}^0 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}}.

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;