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Connection between asymptotic normalization coefficients and resonance widths of mirror states

Journal Article · · Physical Review C
 [1]
  1. Texas A & M Univ., College Station, TX (United States); Texas A&M University
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Resonance widths are important characteristics of unstable nuclear states playing a crucial role in nuclear structure, nuclear reactions, and nuclear astrophysics. However, often it is difficult or impossible to determine the resonance widths from experiments, especially when required nuclei are unstable or the resonance widths are too small. In this paper, I suggest an indirect method of determination of resonance widths using transfer reactions populating bound states. From this reaction, one can extract the amplitudes of the tails of the bound-state wave functions. These amplitudes are called the asymptotic normalization coefficients (ANCs). The ANC method became one of the benchmarks of the Cyclotron Institute. Once the ANC is experimentally determined, one can find the resonance width of the mirror nuclei using the technique developed in this paper. Mirror nuclei are the ones in which the total number of nucleons is the same but the number of the protons of one of the nuclei is equal to the number of the neutrons of another nucleus. In this paper, 5 different examples of the application of the developed method are presented.
Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
FG02-93ER40773; NA0003841
OSTI ID:
1495054
Alternate ID(s):
OSTI ID: 1546161
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 2 Vol. 99; ISSN PRVCAN; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O 17 and C 13 journal August 2019

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS