2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186887In this paper, we examine the level spacing distribution $P(S)$ of the rectangular billiard with a single point-like scatterer, which is known as pseudointegrable. It is shown that the observed $P(S)$ is a new type, which is quite different from the previous conclusion. Even in the strong coupling limit, the Poisson-like behavior rather than Wigner-like is seen for $S>1$, although the level repulsion still remains in the small $S$ region. The difference from the previous works is analyzed in detail.11 pages, REVTeX file, 3 PostScript FiguresChaotic DynamicsNuclear TheoryQuantum Physicstext