Subtopic: Wave Mechanics, Operators & Perturbation Theory
Question Statement:
The Ξ0∗ particle is a member of the Baryon decuplet with isospin state
| I, I3〉 = |
1
2 ,
1
2〉 and strangeness quantum number -2. In the quark model,
which one of the following is the flavour part of the Ξ0∗ wavefunction?
Options:
(A) 1
√2
(uss - ssu)
(B) 1
√3
(uss + sus + ssu)
(C) 1
√2
(uss + ssu)
(D) 1
√3
(uss - sus + ssu)
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2023 Q.27)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Quantum Mechanics** within *Section 4: Quantum Mechanics* (1 Mark, MCQ).
**2. Analytical Derivation & Formalism**:
- Formulating the fundamental physics relations governing Quantum Mechanics:
- Applying canonical quantum/electrodynamic equations:
$\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$
- Substituting boundary parameters and simplifying algebraically.
- The resulting expression uniquely corresponds to Option **(B)**.
**3. Final Answer**:
Correct Option is **(B)**.
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