The vertex constant for the virtual decay of a nucleus into two charged particles within the effective range theory

Eremenko, V.; Nikitina, L. I.; Orlov, Yu. V.

doi:10.3103/s1062873807060081

Cited by 12 publications

(25 citation statements)

References 11 publications

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“…Recently, calculations with the same approximation were repeated in Ref. [59] resulting in k pp = (0.0644 − i0.0871) fm −1 or E pp = (−142 − i465) keV, which is in a good agreement with the Kok's result. A definition of the renormalized partial amplitude in the presence of the Coulomb interaction was given earlier (see Eq.…”

Section: F the Subthreshold Resonances In The Proton-proton Systemsupporting

confidence: 64%

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Bound, virtual, and resonanceS-matrix poles from the Schrödinger equation

et al. 2010

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A general method, which we call the potential S-matrix pole method, is developed for obtaining the S-matrix pole parameters for bound, virtual, and resonant states based on numerical solutions of the Schrödinger equation. This method is well known for bound states. In this work we generalize it for resonant and virtual states, although the corresponding solutions increase exponentially when r → ∞. Concrete calculations are performed for the 1 + ground state of 14 N, the resonance 15 F states (1/2 + , 5/2 + ), low-lying states of 11 Be and 11 N, and the subthreshold resonance in the proton-proton system. We also demonstrate that in the case of broad resonances, their energy and width can be found from the fitting the experimental phase shifts using the analytical expression for the elastic-scattering S matrix. We compare the S-matrix pole and the R matrix methods for broad resonances in the 14 O-p and in 26 Mg-n systems.A. M. MUKHAMEDZHANOV et al. PHYSICAL REVIEW C 81, 054314 (2010)

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Section: F the Subthreshold Resonances In The Proton-proton Systemsupporting

confidence: 64%

“…For the pp ground state, the value G 2 ren = (0.060 + i0.051) fm was obtained in Ref. [59] with the effective-range parameters taken from Ref. [58].…”

Section: F the Subthreshold Resonances In The Proton-proton Systemmentioning

confidence: 99%

Bound, virtual, and resonanceS-matrix poles from the Schrödinger equation

et al. 2010

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“…In this procedure the elastic scattering phase shift is analytically approximated in the physical region with the subsequent analytical continuation to the bound state pole. This analytical approximation in the physical region can be done using different approaches: Pade approximation [2], effective range expansion [3][4][5]. There is also a possibility to solve N/D equations, which take into account the right unitary cut and the left dynamical singularities.…”

Section: Introductionmentioning

confidence: 99%

Reexamination of the astrophysicalSfactor for theα+d→6Li

2011

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“…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 our work [2] we study the resonant subthreshold state of the nucleus 2 He and the resonance for the αα system which has an extremely narrow width. The resonance positions for these states were calculated by Kok [11] using expansion (1).…”

Section: Introductionmentioning

confidence: 99%

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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The vertex constant for the virtual decay of a nucleus into two charged particles within the effective range theory

Cited by 12 publications

References 11 publications

Bound, virtual, and resonanceS-matrix poles from the Schrödinger equation

Bound, virtual, and resonanceS-matrix poles from the Schrödinger equation

Reexamination of the astrophysicalSfactor for theα+d→6Li

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

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