Effective Range Approximation in Variable Phase Approach for Triplet 3S1{np} and Singlet 1S0{nn,np,pp} State

This paper presents the application of the variable phase approach (VPA) to calculate phase shifts for various states: 3S1 −np, 1S0 −nn, 1S0 −np, and 1S0 −pp using the effective range approximation potential. No free fitting parameters are used in the calculations, and a reasonably good match with the experimental phase shifts is observed for E ≤ 20MeV, making the effective range approximation potential a strong candidate for obtaining low-energy scattering phase shifts. VPA employed is a powerful technique that bypasses the well known Schrodinger equation and does not require the wave function for SPS calculations, unlike the R-Matrix, S-Matrix, or Jost method. Interaction potentials are obtained for n-n, n-p, and p-p scattering that are exponential well-shaped.

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Publication Details

Journal
Romanian Journal of Physics
Published
2025-09-01
DOI
https://doi.org/10.59277/romjphys.2025.70.305
Primary Topic
Nuclear physics research studies
Type
article
Field-Weighted Citation Impact
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article

Effective Range Approximation in Variable Phase Approach for Triplet 3S1{np} and Singlet 1S0{nn,np,pp} State

Anil Khachi
Romanian Journal of Physics
Nuclear physics research studies
article

Effective Range Approximation in Variable Phase Approach for Triplet 3S1{np} and Singlet 1S0{nn,np,pp} State

Anil Khachi
article en

Abstract

This paper presents the application of the variable phase approach (VPA) to calculate phase shifts for various states: 3S1 −np, 1S0 −nn, 1S0 −np, and 1S0 −pp using the effective range approximation potential. No free fitting parameters are used in the calculations, and a reasonably good match with the experimental phase shifts is observed for E ≤ 20MeV, making the effective range approximation potential a strong candidate for obtaining low-energy scattering phase shifts. VPA employed is a powerful technique that bypasses the well known Schrodinger equation and does not require the wave function for SPS calculations, unlike the R-Matrix, S-Matrix, or Jost method. Interaction potentials are obtained for n-n, n-p, and p-p scattering that are exponential well-shaped.

Romanian Journal of PhysicsVol. 70(7-8)
Openalex Percentile: Top 90%
Nuclear physics research studies
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