Verified Solution • 2025–26 Session moderate

QPage 440: Q2: HC Verma: Concepts of Physics - Volume 2 The Nucleus Page 440: Q2 Solution: Consider two pairs of neutrons. In each pair, the separation…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume the strong force is purely a function of distance, treating it as a simple central potential. In reality the nucleon‑nucleon interaction includes spin‑spin and tensor components, so identical separations can yield different force magnitudes depending on the relative spin orientation (e.g., singlet vs. triplet states).

Consider two pairs of neutrons. In each pair, the separation between the neutrons is the same. Can the force between the neutrons have different magnitudes for the two pairs?

Step-by-Step Verified Solution

**Answer:** Yes, the force between the two pairs of neutrons can have different magnitudes even if the separation is the same. **Step-by-Step Explanation:** The nuclear force between nucleons is a **tensor force** that depends not only on the separation but also on the **relative orientation of their spins**. If the spins of the neutron pairs are oriented differently (e.g., parallel vs. anti-parallel), the nuclear force can differ in magnitude. Hence, two pairs with the same separation may experience different forces depending on their spin configuration[citation:1].

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