PHYSICAL REVIEW B, cilt.67, sa.23, 2003 (SCI-Expanded)
We use the Singwi-Sjolander-Tosi-Land (SSTL) approximation to investigate the short-range correlations in a one-dimensional electron gas. We find out that the SSTL approximation satisfies the compressibility sum rule somewhat better than the more widely used Singwi-Tosi-Land-Sjolander approximation in the case of a one-dimensional electron gas.