Reaction cross sections of hypernuclei and the shrinkage effect

Abstract

We calculate the reaction cross sections for ${}^6\mathrm{Li}$ and ${}_{\Lambda }^7\mathrm{Li}$ on a ${}^{12}\mathrm{C}$ target at $100MeV/nucleon$ using the Glauber theory. To this end, we assume a two-body cluster structure for ${}^6$Li and ${}_{\Lambda }^7\mathrm{Li}$, and employ the few-body treatment of the Glauber theory, that is beyond the well known optical limit approximation. We show that the reaction cross section for ${}_{\Lambda }^7\mathrm{Li}$ is smaller than that for ${}^6$Li by about 4\%, reflecting the shrinkage effect of the $\Lambda$ particle.

4 pages, 1 figure

References in corpus (8)

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