Algorithm for calculations of asymptotic nuclear coefficients using phase-shift data for charged-particle scatteringстатья

Статья опубликована в высокорейтинговом журнале

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Дата последнего поиска статьи во внешних источниках: 17 октября 2017 г.

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[1] Orlov Y. V., Irgaziev B. F., and J.-U. N. Algorithm for calculations of asymptotic nuclear coefficients using phase-shift data for charged-particle scattering // Physical Review C. — 2017. — Vol. 96, no. 2. — P. 025809–1–025809–8. A new algorithm for the asymptotic nuclear coefficients calculation, which we call the Delta method, is proved and developed. This method was proposed by Ramírez Suárez and Sparenberg (arXiv:1602.04082.) but no proof was given. We apply it to the bound state situated near the channel threshold when the Sommerfeld parameter is quite large within the experimental energy region. As a result, the value of the conventional effective-range function K_l(k^2) is actually defined by the Coulomb term. One of the resulting effects is a wrong description of the energy behavior of the elastic scattering phase shift δ_l reproduced from the fitted total effective-range function K_l(k^2). This leads to an improper value of the asymptotic normalization coefficient (ANC) value. No such problem arises if we fit only the nuclear term. The difference between the total effective-range function and the Coulomb part at real energies is the same as the nuclear term. Then we can proceed using just this method to calculate the pole position values and the ANC. We apply it to the vertices 4He + 12C ↔ 16O and 3He + 4He ↔ 7Be. The calculated ANCs can be used to find the radiative capture reaction cross sections of the transfers to the 16O bound final states as well as to the 7Be. [ DOI ]

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