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

Yu. V. Orlov, B. F. Irgaziev, and Jameel-Un Nabi
Phys. Rev. C 96, 025809 – Published 29 August 2017

Abstract

A new algorithm for the asymptotic nuclear coefficients calculation, which we call the Δ 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 Kl(k2) 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 δl reproduced from the fitted total effective-range function Kl(k2). 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 Δ method to calculate the pole position values and the ANC. We apply it to the vertices He4+C12O16 and He3+He4Be7. The calculated ANCs can be used to find the radiative capture reaction cross sections of the transfers to the O16 bound final states as well as to the Be7.

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  • Received 15 February 2017
  • Revised 13 July 2017

DOI:https://doi.org/10.1103/PhysRevC.96.025809

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Yu. V. Orlov1,*, B. F. Irgaziev2,3,†, and Jameel-Un Nabi3

  • 1Skobeltsyn Nuclear Physics Institute, Lomonosov Moscow State University, Russia
  • 2National University of Uzbekistan, Tashkent,Uzbekistan
  • 3GIK Institute of Engineering Sciences and Technology, Topi, Pakistan

  • *orlov@srd.sinp.msu.ru
  • irgaziev@yahoo.com

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Issue

Vol. 96, Iss. 2 — August 2017

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