Analytic Continuation of Experimental Data on Scattering and Reaction Processes as a Way to Obtain Information on Characteristics of Bound Nuclear Statesстатья
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Аннотация:In quantum theory, amplitudes of the processes are analytic functions of their kinematicvariables. The analyticity property of the amplitudes allows, in principle, to continue experimental datainto the regions that have not been studied in the experiment, including unphysical domains. One of themost important nuclear characteristics that cannot be directlymeasured in an experiment is the asymptoticnormalization coefficient (ANC). In the present work, we discuss two ways to obtain information aboutANCs by analytic continuation of experimental data into unphysical domains. The first method is basedon the analytic continuation of the experimental differential cross sections of nuclear transfer reactions inthe scattering angle. The second approach uses the analytic continuation in energy of the partial-waveamplitudes of elastic scattering. As an example of using this approach, we present the recently obtained byus average values of the ANCs C(Jπ) for the virtual decay of the excited bound states of 16O(Jπ) whichare important for nuclear astrophysics: 16O∗(Jπ) → α + 12C(g.s.). We got: C(0+) = 1.01 × 103 fm−1/2;C(3−) = 3.53 × 103 fm−1/2; C(2+) = 1.57 × 105 fm−1/2; C(1−) = 2.55 × 1014 fm−1/2.