Step 1: Understanding the $\beta$-helix structure.
The $\beta$-helix structure in proteins is stabilized primarily by hydrogen bonds (H-bonds) between the backbone amide and carbonyl groups of the protein’s polypeptide chain.
Step 2: Analyzing the options.
- Ionic bond: Ionic bonds are not typically involved in stabilizing the $\beta$-helix structure.
- Covalent interaction: While covalent bonds are important in proteins, they are not the primary stabilizing forces in the $\beta$-helix.
- H-bond: Hydrogen bonds are the main interactions stabilizing the $\beta$-helix.
- Banana bond: This is not a valid type of bond in protein structure. Step 3: Conclusion.
The correct interaction that stabilizes the $\beta$-helix is the hydrogen bond (H-bond).
Final Answer:
\[
\boxed{\text{The correct answer is (3) H-bond.}}
\]