English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

A new algorithm for the asymptotic nuclear coefficients calculation, which wecall the $\Delta$-method, is proved and developed. This method was proposed inRef. [O. L. Ram\'irez Su\'arez and J.-M. Sparenberg, arXiv: 1602.04082[nucl-th] (2016)] but no proof was given. We apply it to the bound statesituated near the channel threshold when the Sommerfeld parameter is quitelarge within the experimental energy region. As a result, the value of theconventional effective-range function $K_l(k^2)$ is actually defined by theCoulomb term. One of the resulting effects is the wrong description of energybehavior of the elastic scattering phase shift $\delta_l$ reproduced from thefitted total effective-range function $K_l(k^2)$. This leads to an impropervalue of the asymptotic normalization coefficient (ANC) value. No such problemarises if we fit only the nuclear term. The difference between the totaleffective-range function and the Coulomb part at real energies is the same asthe nuclear term. Then we can proceed using just this $\Delta$-method tocalculate the pole position values and the ANC. We apply it to the vertices$^4\rm{He}+ {^{12}\rm{C}}\longleftrightarrow {^{16}\rm{O}}$ and $^3\rm{He}+{^4\rm{He}}\longleftrightarrow {^7\rm{Be}}$. The calculated ANCs can be used tofind the radiative capture reaction cross sections of the transfers to the$^{16}\rm{O}$ bound final states as well as to the$^7\rm{Be}\longleftrightarrow {^7\rm{Be}}$. The calculated ANCs can be used tofind the radiative capture reaction cross sections of the transfers to the$^{16}\rm{O}$ bound final states as well as to the $^7\rm{Be}$.

Algorithm for the asymptotic nuclear coefficients calculations using phase shift data for charged particles scattering