Exact solutions of the Schrödinger equation for Manning-Rosen plus Yamaguchi potential

Sahoo, P.; Laha, U.

doi:10.1088/1402-4896/ac07b8

Cited by 8 publications

(2 citation statements)

References 18 publications

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“…The phase parameters thus obtained will, in turn, be exploited to estimate the cross sections for the concerned systems. Recently, one of us (UL) has also derived exact analytical solutions for the motion in MR plus Yamaguchi potential and applied to calculate scattering phase shifts of two body nuclear systems [30,31]. In the current text we consider MR plus nonlocal separable potentials in all partial waves for treating nucleon-nucleon and nucleon-nucleus elastic scattering thorough the modified PFM.…”

Section: Introductionmentioning

confidence: 99%

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

Swain,

Laha,

Behera

2023

Phys. Scr.

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The traditional phase function method is regarded as aresourceful tool for computing scattering phase shifts for quantummechanical potential scattering involving local interactions. For the localplus a nonlocal potential the conventional phase function method doesnot hold good. In such a situation one has to modify it. The modi edphase function method is adapted here to treat the Manning-Rosen plusGraz nonlocal separable potential for constructing an exact expression forthe phase function with rigorous inclusion of the electromagnetic e ect.The merit of our analytical result is demonstrated by computing elasticscattering phase parameters and differential scattering cross sections forproton-proton (p- p) and proton-deuteron (p-d) systems which are insensible agreement with previous works.

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Section: Introductionmentioning

confidence: 99%

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

Swain,

Laha,

Behera

2023

Phys. Scr.

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“…Recently, Laha et.al. [13], have incorporated a separable non-local potential in place of the short range nuclear potential and obtained analytical solution of Schrodinger equation. By combining Manning-Rosen and Yamaguchi potentials, they were able to describe the scattering of two charged particles and, using the Green's function approach, find regular and irregular solutions.…”

Section: Introductionmentioning

confidence: 99%

Constructing Inverse Scattering Potentials for α-α System using Physics Informed Machine Learning

sastri,

Sharma,

Awasthi

2023

Preprint

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An accurate way to incorporate long-range Coulomb interaction alongside short-range nuclear interaction remains challenging for theoretical physicists till date. Machine learning algorithms for global optimization, with physics equations guiding the process, are able to obtain robust models from available experimental data. In this article, we utilize the phase equation, which requires only potential and scattering energies as inputs, to obtain scattering phase shifts for the alpha-alpha system to construct the inverse potentials for its S, D, and G states. By incorporating the phase equation within an iterative loop of optimization code, mean absolute percentage error(MAPE) is minimized to obtain the best model parameters for a chosen reference potential. The key to successfully incorporating Coulomb interaction is in designing a reference potential. Here, a combination of two smoothly joined Morse functions, one regular followed by an inverted one, is considered. While the former takes care of short-range nuclear and Coulomb interactions, the latter accounts for expected barrier height due to the long-range Coulomb part that dominates once nuclear interaction subsides. The constructed inverse potentials for S, D, and G states have resulted in MAPE of 0.9, 0.5, and 0.4 and resonances(experimental) at 0.1240(0.0918), 2.95(3.03), and 11.89(11.35) respectively.

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Elastic Scattering of Proton from Oxygen at Astrophysical Energies

2023

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Exact solutions of the Schrödinger equation for Manning-Rosen plus Yamaguchi potential

Cited by 8 publications

References 18 publications

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

Constructing Inverse Scattering Potentials for α-α System using Physics Informed Machine Learning

Elastic Scattering of Proton from Oxygen at Astrophysical Energies

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