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A recombination emission spectrum is applied to study the local latticedistortion due to core excitation in graphite. The recombination emissionspectrum reveals a long low-energy tail when the C $1s$ electron is excited tothe $\sigma^*$ core exciton state. This indicates a large local latticedistortion around the excited carbon atom within a core hole lifetime($\sim$10fs). Theoretical calculation based upon an ionic cluster model wellreproduces the experiments. The strong polarization correlation betweenincident and emitted X-rays is conclusive evidence of symmetry breaking in thecore exciton state due to coupling with asymmetric vibrational modes.Comment: 9 pages, 4 figure

Dynamical Symmetry Breaking under Core Excitation in Graphite: Polarization Correlation in Soft X-Ray Recombination Emission