Abstract
The derivation of the Regge representation of the second virial coefficient for a dilute gas and the approximation of the formula for low temperatures are reviewed. Upon extracting the contribution of resonances from the approximate formula the temperature dependences of the resonance functions are examined. It appears that the resonance, if it exists at all, becomes essentially important as temperature gets very low. A set of parameters appearing in the approximate formula valid at low temperatures is then determined by comparing the formula with the experimental data obtained by Keller and others for dilute gases of He 3 and He 4. A possible existence of a P-wave resonance in the absence of S-wave bound state and of zero energy resonance is sought by introducing an exchage potential.
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