Turkish Journal of Physics
Abstract
The Riccati-type nonlinear differential equation, also known as the Phase Function equation, is used to construct local inverse potentials for the 1S0 - pp state by bypassing the well-known Schrödinger equation. The pp interaction is described using the Malfliet-Tjon potential model for the nuclear component combined with a screened Coulomb potential, with the phase equation solved via the fourth-order Runge-Kutta (RK-4) method. Based on our analysis, we confirm that the optimized interaction potential closely matches the well-known realistic Argonne V18 and Reid potentials for the 1S0 state, and the computed phase shifts and cross-sections show excellent agreement with experimental data. This study demonstrates the efficacy of PFM in accurately modeling nuclear interactions, contributing to the refinement of theoretical frameworks for high-energy scattering phenomena.
Author ORCID Identifier
SHIKHA AWASTHI: 0000-0003-2939-638X
ANIL KHACHI: 0000-0002-6975-7357
O.S.K.S. SASTRI: 0000-0003-1405-5283
DOI
10.55730/1300-0101.2779
Keywords
Proton-proton scattering, scattering phase shifts, scattering cross-section, phase function method, variational Monte Carlo method, RK-4 method
First Page
123
Last Page
141
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
AWASTHI, S, KHACHI, A, & SASTRI, O (2025). Variational Monte Carlo optimization of proton-proton scattering potential using the phase function method. Turkish Journal of Physics 49 (3): 123-141. https://doi.org/10.55730/1300-0101.2779
