Mathematics
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apjs...91..483g&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 91, no. 1, p. 483-489
Mathematics
70
Carbon Isotopes, Carbon Monoxide, Electric Dipoles, Ground State, Mathematical Models, Oxygen Isotopes, Rotational States, Tables (Data), Transition, Transition Probabilities, Vibrational States, Matrices (Mathematics), Polynomials, Quantum Numbers, Wave Functions
Scientific paper
Improved electric dipole transition matrix elements for rovibrational transitions in the ground state X(1)Sigma(+) of (12)C(6)O and (13)C(16)O are calculated for all the delta v = +1, +2, and +3 transitions for which v less than or equal to 20 and J less than or equal to 150. We have fitted polynomials to these matrix elements as a function of the parameter m which is defined in terms of the lower state angular momentum quantum number J. These convenient to use polynomial representations are given in Tables 1-4 for (12)C(16)O and in Tables 5-8 for (13)C(16)O. We observe that there is intensity enhancement due to vibration-rotation interaction for the P-branch transitions at the expense of the R-branch transitions for delta v = +1. This enhancement can be as large as 40% at the highest J. For the delta v = +2 and +3 transitions, the R-branch transitions are enhanced by as much as a factor of 2.75 and 10 at the highest J, respectively. The P-branch transitions exhibit only minor decreases. Comparisons with previous calculations show good agreement for the delta v = +1 transitions. The comparison for delta v = +2 and +3 transitions show differences as large as a factor of 5.
Chackerian Charles Jr.
Goorvitch David
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