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We present an electron spin resonance (ESR) study of single-crystalline spinchain-system CuSe$_2$O$_5$ in the frequency range between 9 GHz and 450 GHz. Ina wide temperature range above the N\'{e}el temperature $T_N=17$ K we observestrong and anisotropic frequency dependence of a resonance linewidth. Althoughsizeable interchain interaction $J_{IC}\approx 0.1 J$ ($J$ is the intrachaininteraction) is present in this system, the ESR results agree well with theOshikawa-Affleck theory for one-dimensional $S=1/2$ Heisenberg antiferromagnet.This theory is used to extract the anisotropies present in CuSe$_2$O$_5$. Wefind that the symmetric anisotropic exchange $J_c=(0.04 \pm 0.01) \:J$ and theantisymmetric Dzyaloshinskii-Moriya (DM) interaction $D=(0.05\pm 0.01)\:J$ arevery similar in size in this system. Staggered-field susceptibility induced bythe presence of the DM interaction is witnessed in the macroscopicsusceptibility anisotropy.

Symmetric and antisymmetric exchange anisotropies in quasi-one-dimensional CuSe$_2$O$_5$ as revealed by ESR