The process of Coulomb dissociation of weakly bound relativistic hypernuclei within the two-cluster model

Using the analogy with the problem of ionization and excitation of atoms at the propagation of relativistic charged particles through matter, the process of Coulomb dissociation of weakly bound relativistic nuclei and hypernuclei is theoretically investigated in the framework of the two-cluster deuteron-like model. On the basis of the general formula for the total cross-section of excitation and dissociation of a relativistic nucleus in the Coulomb field, explicit analytical expressions for the total cross-section of Coulomb disintegration of weakly bound systems are derived, taking into account also the additional correction terms connected with the finite size of the target nucleus. Numerical estimates for the Coulomb dissociation of relativistic hypernuclei $^{3}H_{\Lambda}$ and $^{6}He_{\Lambda}$ are performed, and it is demonstrated that for these cases ( especially -- for $^{6}He_{\Lambda}$ ) the corrections due to the finite size of the target prove to be rather essential. It is shown that in the limit of very small binding energies $\varepsilon_{{\rm bin}}$ the cross-section of Coulomb dissociation increases inversely proportionally to $\varepsilon_{{\rm bin}}$, and -- due to such a sharp dependence upon the binding energy -- the experimental measurement of this cross-section in the case of weakly bound relativistic nuclei and hypernuclei allows one to determine the values of binding energy for these systems.