Extraction of Resonance Parameters from Nuclear Scattering Data

Ahmed, M. U.; Shanley, Paul E.

doi:10.1103/physrevlett.36.25

Cited by 15 publications

(17 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…rad. [16] 0.778 0.639 --N/D [37], [25] 0.697 0.542 0.160 132 (d, γ) [38] 5 He 3/2 − 0.80 0.65 --R-function [39] 0.771 0.644 --R-matrix [36] 0 where the notations are the same as in [16]:…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

2010

View full text Add to dashboard Cite

Explicit expressions of the vertex constant for the decay of a nucleus into two charged particles for an arbitrary orbital momentum l are derived for the standard expansion of the effective-range function K l (k 2 ), as well as when the function K0(k 2 ) has a pole. As physical examples, we consider the bound state of the nucleus 3 He and the resonant states of the nuclei 2 He and 3 He in the s-wave, and those of 5 He and 5 Li in the p-wave. For the systems N p and N d the pole trajectories are constructed in the complex planes of the momentum and of the renormalized vertex constant. They correspond to a transition from the resonance state to the virtual state while the Coulomb forces gradually decrease to zero.

show abstract

Section: Methodsmentioning

confidence: 99%

“…We recalculate these pole positions more accurately in the present work using the results of the phase shift analyses of the experimental data known from the literature. After that we calculate the renormalized VC, which were not considered in [16]. They can be used for finding the ANC of the corresponding Gamow wave functions.…”

Section: Introductionmentioning

confidence: 99%

Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

2010

View full text Add to dashboard Cite

show abstract

“…[20] determined the values of the energy and width of the resonances. The article [20] was cited in Ref. [21] where a separable potential fits the resonance parameters for the nα scattering in the p 1/2 and p 3/2 states.…”

Section: Thementioning

confidence: 99%

Resonance-state properties from a phase shift analysis with theS-matrix pole method and the effective-range method

Irgaziev

Orlov

2015

Phys. Rev. C

View full text Add to dashboard Cite

Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing an important role in nuclear physics and astrophysics. We derive a new useful relationship between ANC of the Gamow radial wave function and the renormalized (due to the Coulomb interaction) Coulomb-nuclear partial scattering amplitude. We use an analytical approximation in the form of a series for the nonresonant part of the phase shift which can be analytically continued to the point of an isolated resonance pole in the complex plane of the momentum. Earlier, this method which we call the S-matrix pole method was used by us to find the resonance pole energy. We find the corresponding fitting parameters for the

show abstract

“…We mention here two examples: the large cross section of the t(d, n)α reaction and the problem of the soft dipole resonance in neutron halo nuclei. Only analyses at complex energies were able to reveal that the large reaction cross section is caused by a shadow pole of the scattering matrix in the former case [3,4], and that the soft dipole resonance does not exist in 6 He in the latter one [5]. It is an intriguing question whether or not the results of methods that are not confined to real energies agree with those of conventional analyses for the relatively broad resonances encountered in light systems.…”

mentioning

confidence: 99%

“…The extraction of the α + N resonance parameters from observables which are continued to complex energies was first suggested by Ahmed and Shanley [6]. They pointed out that the determination of the resonance parameters from real energy observables is difficult because, e.g., the 1/2 − phase shift does not even pass through 90 degrees.…”

mentioning

confidence: 99%

S-matrix andR-matrix determination of the low-energy5He and
Csótó
¹
,
Hale
²

1997
Phys. Rev. C

View full text Add to dashboard Cite

We study the low-energy 3/2 − and 1/2 − states of 5 He and 5 Li in a microscopic cluster model. The scattering phase shifts of Bond (α + n) and of Schwandt (α + p), respectively, are reproduced well. We determine the resonance parameters by localizing the poles of the analytically continued S-matrix at complex energies. Our results differ from conventional R-matrix resonance parameters, which were extracted from experimental data using the definition of a resonance based on the positions and widths of reaction cross section peaks. However, they nicely agree with the results of an extended R-matrix method which works at complex energies.

show abstract

Extraction of Resonance Parameters from Nuclear Scattering Data

Cited by 15 publications

References 16 publications

Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

Resonance-state properties from a phase shift analysis with theS-matrix pole method and the effective-range method

S-matrix andR-matrix determination of the low-energy5He and
Csótó
¹
,
Hale
²

1997
Phys. Rev. C

Contact Info

Product

Resources

About

Extraction of Resonance Parameters from Nuclear Scattering Data

Cited by 15 publications

References 16 publications

Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

Resonance-state properties from a phase shift analysis with theS-matrix pole method and the effective-range method

S-matrix andR-matrix determination of the low-energy5He andCsótó1, Hale2 1997Phys. Rev. C

Contact Info

Product

Resources

About

S-matrix andR-matrix determination of the low-energy5He and
Csótó
¹
,
Hale
²

1997
Phys. Rev. C