Hale, Brown, and Jarmie Reply

Hale, Gerald M.; Brown, Ronald E.; Jarmie, Nelson

doi:10.1103/physrevlett.59.2819

Cited by 49 publications

(87 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For bound states ourẼ i are thus equivalent to the eigenvalues discussed in Ref. [6] since P c = 0. For these states we can also introduce the asymptotic normalization constant C ic which is given by [7] …”

Section: A Definition Of the Parameterizationmentioning

confidence: 99%

“…(4) of Ref. [6]. For unbound states there appears to be no simple relation betweenẼ λ andγ λc and the pole parameters of Ref.…”

Section: A Definition Of the Parameterizationmentioning

confidence: 99%

“…Our Eq. (13) is closely related to the complex eigenvalue equation introduced by Hale, Brown, and Jarmie [6] to locate the poles of the collision matrix -in fact it is just the real part of their eigenvalue equation. For bound states ourẼ i are thus equivalent to the eigenvalues discussed in Ref.…”

Section: A Definition Of the Parameterizationmentioning

confidence: 99%

See 2 more Smart Citations

Alternative parametrization ofR-matrix theory

Brune¹

2002

Phys. Rev. C

150

190

View full text Add to dashboard Cite

An alternative parameterization of R-matrix theory is presented which is mathematically equivalent to the standard approach, but possesses features which simplify the fitting of experimental data. In particular there are no level shifts and no boundary-condition constants which allows the positions and partial widths of an arbitrary number of levels to be easily fixed in an analysis. These alternative parameters can be converted to standard R-matrix parameters by a straightforward matrix diagonalization procedure. In addition it is possible to express the collision matrix directly in terms of the alternative parameters.

show abstract

Section: A Definition Of the Parameterizationmentioning

confidence: 99%

“…(4) of Ref. [6]. For unbound states there appears to be no simple relation betweenẼ λ andγ λc and the pole parameters of Ref.…”

Section: A Definition Of the Parameterizationmentioning

confidence: 99%

See 1 more Smart Citation

Alternative parametrization ofR-matrix theory

Brune¹

2002

Phys. Rev. C

150

190

View full text Add to dashboard Cite

show abstract

“…The 'Strength' function is the ratio of the sum of the channel widths (defined in Ref. [26]) divided by the total width, Γ −1 c Γ c . Resonances labeled 'strong' are clearly seen in at least one of the figures.…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

Toward a self-consistent and unitary reaction network for big-bang nucleosynthesis

Paris

Brown

Hale

et al. 2014

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract. Unitarity, the mathematical expression of the conservation of probability in multichannel reactions, is an essential ingredient in the development of accurate nuclear reaction networks appropriate for nucleosynthesis in a variety of environments. We describe our ongoing program to develop a "unitary reaction network" for the big-bang nucleosynthesis environment and look at an example of the need and power of unitary parametrizations of nuclear scattering and reaction data. Recent attention has been focused on the possible role of the 9 B compound nuclear system in the resonant destruction of 7 Li during primordial nucleosynthesis. We have studied reactions in the 9 B compound system with a multichannel, two-body unitary R-matrix code (EDA) using the known elastic and reaction data, in a four-channel treatment. The data include elastic 6 Li( 3 He, 3 He) 6 Li differential cross sections from 0.7 to 2.0 MeV, integrated reaction cross sections for energies from 0.7 to 5.0 MeV for 6 Li( 3 He,p) 8 Be* and from 0.4 to 5.0 MeV for the 6 Li( 3 He,d) 7 Be reaction. Capture data have been added to the previous analysis with integrated cross section measurements from 0.7 to 0.825 MeV for 6 Li( 3 He,γ) 9 B. The resulting resonance parameters are compared with tabulated values from TUNL Nuclear Data Group analyses. Previously unidentified resonances are noted and the relevance of this analysis and a unitary reaction network for big-bang nucleosynthesis are emphasized.

show abstract

“…A practical way to extract the parameters of the virtual states of 3 H and 3 He from experimental data is to describe these nuclei within the extended R-matrix model [18], which can be continued to complex energies. An extensive analysis of the A = 3 data is being performed using this method [19].…”

Section: Three-body Calculations For D+n Scatteringmentioning

confidence: 99%

Erratum: Search for excited states in3Hand3He[Phys. Rev. C59, 1207 (1999)]

Csótó¹,

Hale²

2000

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

The d + N systems are studied in a three-body model, using phenomenological N-N interactions. The scattering matrices are calculated by using the Kohn-Hulthén variational method. Then, they are analytically continued to complex energies and their singularities are localized. We find a virtual state at E = −1.66 MeV in 3 H and a pair of states at E = (−0.42 ± i0.52) MeV in 3 He relative to the d + N thresholds, respectively. In addition, we discuss some general aspects and problems of virtual states which may be useful also in the study of other systems, like 10 Li. PACS number(s): 21.45.+v, 24.30.Gd, 27.10.+h

show abstract

Hale, Brown, and Jarmie Reply

Cited by 49 publications

References 0 publications

Alternative parametrization ofR-matrix theory

Alternative parametrization ofR-matrix theory

Toward a self-consistent and unitary reaction network for big-bang nucleosynthesis

Erratum: Search for excited states in3Hand3He[Phys. Rev. C59, 1207 (1999)]

Contact Info

Product

Resources

About