# Accession Number:

## AD0654299

# Title:

## THREE FAMILIES OF INTEGRALS WHICH ARISE IN SOME THREE-BODY PROBLEMS.

# Descriptive Note:

## Physical sciences research papers no. 321,

# Corporate Author:

## AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

# Personal Author(s):

# Report Date:

## 1967-04-01

# Pagination or Media Count:

## 32.0

# Abstract:

Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands are products of four Coulomb Sturmian functions and two Legendre polynomials. Closed-form expressions are derived for all the integrals, except for one subset of the most general triple integral. An outline of the procedure necessary to obtain a closed expression for this subset is given. Author

# Descriptors:

# Subject Categories:

- Numerical Mathematics
- Quantum Theory and Relativity