Abstract
We describe correlation effects in the charged quasi-one-dimensional Bose condensate with parabolic confinement. Many-body effects are calculated with the sum-rule version of the Singwi, Tosi, Land, and Sj\"olander theory. We give numerical and analytical results for the local-field correction, the pair-distribution function, the correlation energy, and the compressibility of the Bose condensate. The results are given as a function of the Wigner-Seitz parameter ${r}_{s}$ and the wire-width parameter $b.$ The exact long-wavelength behavior of the plasmon dispersion is investigated using the compressibility sum rule.
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