Abstract
The transition strength for Coulomb breakup of ${}^{6}\mathrm{He}$ into ${}^{4}\mathrm{He}+n+n$ three-body unbound states is studied in the framework of the complex scaling method (CSM). We propose a method to analyze the three-body unbound states in which CSM is utilized to decompose the three-body transition strengths into resonance and continuum components. We calculate the contributions of $E1$ and $E2$ transitions, not only from three-body resonances, but also from two-body ${\mathrm{``}}^{5}\mathrm{He}+n\mathrm{''}$ and three-body ${\mathrm{``}}^{4}\mathrm{He}+n+n\mathrm{''}$ continuum states. From the calculated strength distributions, we discuss the characteristic structures of ${}^{6}\mathrm{He}$ in the positive energy region, and also the Coulomb breakup mechanism of ${}^{6}\mathrm{He}.$ We show that the two-body ${\mathrm{``}}^{5}\mathrm{He}+n\mathrm{''}$ component is dominant in the total Coulomb breakup cross section.
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