Effects of channel and potential radiative transitions in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>17</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow><mml:mo>(</mml:mo><mml:mi>γ</mml:mi><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></

Holt, R. J.; Jackson, H. E.; Laszewski, R. M.; Monahan, J.E.; Specht, Janet K.

doi:10.1103/physrevc.18.1962

Cited by 53 publications

(39 citation statements)

References 30 publications

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“…(21) and (23) follow the sign convention of Refs. [21,25] and consequently differ from those of Ref. [14] by an overall minus sign (which has no effect upon observables).…”

Section: Photon Channelsmentioning

confidence: 83%

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AZURE: AnR-matrix code for nuclear astrophysics

et al. 2010

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The paper describes a multilevel, multichannel R-matrix code, AZURE, for applications in nuclear astrophysics. The code allows simultaneous analysis and extrapolation of low-energy particle scattering, capture, and reaction cross sections of relevance to stellar hydrogen, helium, and carbon burning. The paper presents a summary of R-matrix theory, code description, and a number of applications to demonstrate the applicability and versatility of AZURE.

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“…(21) and (23) follow the sign convention of Refs. [21,25] and consequently differ from those of Ref. [14] by an overall minus sign (which has no effect upon observables).…”

Section: Photon Channelsmentioning

confidence: 83%

“…In the external region, the scattering state contains contributions from both resonant and hard-sphere phase shifts [24,25]. Throughout the remainder of this paper, the term EC will be associated with this nonresonant portion, while the external resonance contribution will be designated by ERC.…”

Section: Photon Channelsmentioning

confidence: 99%

AZURE: AnR-matrix code for nuclear astrophysics

et al. 2010

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“…The internal radial scattering wave function (r ≤ r 0 , r is the distance between the particles a and A, r 0 is the channel radius) in the single-channel R-matrix approach in the case of an isolated narrow resonance takes the form [3,6] …”

Section: Resonance Radiative Capture In the R-matrix Approachmentioning

confidence: 99%

“…The total radiative width 0.95 +0. 6 −0.95 eV obtained in [26] has too high uncertainty while [27] gives only the low limit for the radiative width: Γ 3/2 γ 1/2 > 0.85 eV. Evidently new more accurate measurements of the radiative width for this important transition are needed.…”

Section: Examplesmentioning

confidence: 99%

Asymptotic normalization coefficients and radiative widths

Mukhamedzhanov

Pang

2015

Phys. Rev. C

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Asymptotic normalization coefficent (ANC) is important quantity in calculation of the radiative width amplitudes providing limits on the radiative width. Here we present some examples showing connection between the ANC and radiative width. In particular, the radiative width of the E1Phys. A 217, 29 (1973) ] is (1.2 ± 0.2) × 10 −2 eV. Meantime the ANC for the first excited state in 17 F puts a low limit on the radiative width, which is (3.4 ± 0.50) × 10 −2 eV. Such a strong disagreement between the measured radiative width and the low limit imposed by the ANC calls for a new measurement of this radiative widh. Other examples are also considered.

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“…Based on this conclusion, the angle-integrated cross section formulae are derived from perturbation theory in Refs. [50,51], and the adjustable parameter of photon reduced-width amplitude can be split into internal and asymptotic channel contributions in practical applications [40,50]. Recently, a vital progress in R-matrix code, AZURE was presented in Refs.…”

Section: Introductionmentioning

confidence: 99%

AstrophysicalSfactor of theC12(α,γ)O16
An
¹
,
Chen
²
,
Ma
³

et al. 2015
Phys. Rev. C
23
0
8
0
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Determination of the accurate astrophysical S factor of 12 C(α, γ) 16 O reaction has been regarded as a holy grail of nuclear astrophysics for decades. In current stellar models, a knowledge of that value to better than 10% is desirable. Due to the practical issues, tremendous experimental and theoretical efforts over nearly 50 years are not able to reach this goal, and the published values contradicted with each other strongly and their uncertainties are 2 times larger than the required precision. To this end we have developed a Reduced R-matrix Theory, based on the classical Rmatrix theory of Lane and Thomas, which treats primary transitions to ground state and four bound states as the independent reaction channels in the channel spin representation. With the coordination of covariance statistics and error propagation theory, a global fitting for almost all available experimental data of 16 O system has been multi-iteratively analyzed by our powerful code. A reliable, accurate and self-consistent astrophysical S factor of 12 C(α, γ) 16 O was obtained with a recommended value Stot (300) = 162.7 ± 7.3 keV b (4.5%) which could meet the required precision.

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Effects of channel and potential radiative transitions in theO17(γ, n0

Cited by 53 publications

References 30 publications

AZURE: AnR-matrix code for nuclear astrophysics

AZURE: AnR-matrix code for nuclear astrophysics

Asymptotic normalization coefficients and radiative widths

AstrophysicalSfactor of theC12(α,γ)O16
An
¹
,
Chen
²
,
Ma
³

et al. 2015
Phys. Rev. C
23
0
8
0
View full text Add to dashboard Cite

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Effects of channel and potential radiative transitions in theO17(γ, n0

Cited by 53 publications

References 30 publications

AZURE: AnR-matrix code for nuclear astrophysics

AZURE: AnR-matrix code for nuclear astrophysics

Asymptotic normalization coefficients and radiative widths

AstrophysicalSfactor of theC12(α,γ)O16An1, Chen2, Ma3 et al. 2015Phys. Rev. C23080View full textAdd to dashboardCite

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About

AstrophysicalSfactor of theC12(α,γ)O16
An
¹
,
Chen
²
,
Ma
³

et al. 2015
Phys. Rev. C
23
0
8
0
View full text Add to dashboard Cite