The quasi bound spectrum of H2

TL;DR

This paper computes the radiative spectrum of H2 involving quasibound states using a numerical method, confirming previous results and emphasizing astrophysical relevance.

Contribution

Introduces a simple numerical approach to compute quasibound states in H2 and compares results with existing methods, confirming previous calculations of transition coefficients.

Findings

Eigenvalues match well with other theoretical methods.

Electric quadrupole transition coefficients are confirmed.

Highlights astrophysical importance of quasibound levels.

Abstract

We compute the radiative ro-vibrational emission spectrum of H2 involving quasibound states via a simple numerical method of resolution of the Schr\"odinger equation by introducing a modifed effective molecular potential. The comparison of the eigenvalues obtained with our approximation and other theoretical methods based on scattering resonance properties is excellent. Electric quadrupole and magnetic dipole contributions are calculated and we confirm the previous computations of Forrey of the electric quadrupole transition Einstein coeffcients. The astrophysical relevance of such quasibound levels is emphasized