The resonance pole and the residue of the scattering amplitude while the Coulomb forces gradually decrease

Orlov, Yu. V.; Yeremenko, V.O.; Irgaziev, B. F.; Nikitina, L. I.

doi:10.3103/s1062873809060185

Cited by 3 publications

(10 citation statements)

References 10 publications

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Section: Vertex Constants For Particular Nucleimentioning

confidence: 99%

“…The case of the s-wave (l = 0) was considered in our papers [2,3], where all the necessary formulas were given as well as the numerical calculation results for the nuclear systems N N, N d and αα. Several results from [2,3] are given below for the sake of completeness. In the present paper we study more thoroughly the trajectories of the resonance momentum and the renormalized VC while the charge of the one of the particles gradually goes to zero.…”

Section: Vertex Constants For Particular Nucleimentioning

confidence: 99%

“…In the present study the problem is solved in the frame of an effective-range theory. The preliminary results for the s-wave were published in our works [2,3].…”

Section: Introductionmentioning

confidence: 99%

“…In works [2,3] we also studied the 3 He bound state and the subthreshold resonances in pd scattering for the most reasonable sets of constants in the expansion (2) which were fitted recently in [18,28] using the doublet phase shift for the s-wave which was calculated for few energy values in the three-body approach [20,21], for the N N potential AV18 and the three-particle interaction UR-IX. The necessity of using the calculation results for finding the parameters of K 0 (k 2 ) is due to the fact that the experimental data for the pd scattering show large errors which increase while the energy decreases, and because the results of the phase shift analyses published in the literature are contradictory.…”

Section: Introductionmentioning

confidence: 99%

“…In the present work the trajectories for a transition from the resonant subthreshold state to the virtual (antibound) state for the N p and the N d systems were constructed with a gradual decrease of the nucleon charge (the preliminary calculations were fulfilled in [3]). As a result we demonstrate the general physical nature of those corresponding states which differ only in the Coulomb interaction.…”

Section: Introductionmentioning

confidence: 99%

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

2010

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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.

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Section: Vertex Constants For Particular Nucleimentioning

confidence: 99%

Section: Vertex Constants For Particular Nucleimentioning

confidence: 99%

“…In the present study the problem is solved in the frame of an effective-range theory. The preliminary results for the s-wave were published in our works [2,3].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

2010

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

Irgaziev

Orlov

2015

Phys. Rev. C

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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

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Nuclear vertex constants and asymptotic normalization coefficients for 8Be resonance states from effective-range expansions for αα scattering

Orlov

Nikitina

2014

Phys. Atom. Nuclei

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The resonance pole and the residue of the scattering amplitude while the Coulomb forces gradually decrease

Cited by 3 publications

References 10 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

Nuclear vertex constants and asymptotic normalization coefficients for 8Be resonance states from effective-range expansions for αα scattering

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