Abstract
${\mathrm{TlCuCl}}_{3}$ has a singlet ground state with the excitation gap $\ensuremath{\Delta}=0.65 \mathrm{meV}.$ The magnetic excitations in ${\mathrm{TlCuCl}}_{3}$ have been investigated by means of neutron inelastic-scattering experiments. The constant-$\mathit{Q}$ energy scan profiles were collected in the ${a}^{*}\ensuremath{-}{c}^{*}$ plane. A well-defined single magnetic excitation mode was observed. The dispersion relations along four different directions were determined. The lowest excitation occurs at $\mathit{Q}=(h,0,l)$ with integer h and odd l, as observed in ${\mathrm{KCuCl}}_{3}.$ A cluster series expansion up to the sixth order was applied to analyze the dispersion relations, and the individual exchange interactions were evaluated. It was demonstrated that ${\mathrm{TlCuCl}}_{3}$ is a strongly coupled spin-dimer system.
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