Resonances and antibound states in a Morse potential

✍ Scribed by M. Berrondo; J. Recamier

• Book ID: 101254707
• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 146 KB
• Volume: 62
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1997)62:3<239::aid-qua1>3.0.co;2-x

✦ Synopsis

We calculate the resonant and antibound state energies for a Morse potential with a centrifugal barrier using Siegert boundary conditions. Starting with a complex wave Ž . number k purely imaginary for bound and antibound states , we integrate numerically from the origin up to a matching point using Numerov's method. The inward integration Ž . is performed using the corresponding first-order Riccati equation. The complex eigenvalues are found by matching the two logarithmic derivatives. We find narrow shape resonances within the well, above the dissociation limit, and broad resonances above the centrifugal barrier. Antibound states are found even with J s 0.