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An Innovative Approach to Construct Inverse Potentials Using Variational Monte-Carlo and Phase Function Method: Application to np and pp Scattering

  • Nuclear Physics
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Abstract

In this paper, we present an innovative approach to construct inverse potentials for np-interaction directly from experimental scattering phase shifts (SPS) by considering the Morse function as an interaction potential. The inverse potentials corresponding to SPS for \(\ell = 0\)-channel of np interaction is obtained using the variational Monte-Carlo (VMC) technique in tandem with the phase function method (PFM) for the first time. The S-channel SPS for \(^3S_1\) and \(^1S_0\) have been obtained, with a mean percentage error with respect to experimental multiple energy analysis data (MEAD) for lab energies up to 350 MeV, to less than 3\(\%\). Similarly, the inverse potential for the \(^1S_0\) proton-proton (pp) interaction, with the Coulomb term modeled as proportional to erf(), has also been obtained to match experimental values to less than 3\(\%\). This approach can be utilized for obtaining inverse potentials for various scattering processes modeled via different interaction potentials.

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We hereby state that there is no funding received for this work and also there are no conflicts of interest whatsoever.

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  1. Anil Khachi and Lalit Kumar contributed equally to this work.

Authors and Affiliations

  1. Department of Physics and Astronomical Sciences, Central University of Himachal Pradesh, Himachal Pradesh, Dharamshala, 176215, India

    O.S.K.S Sastri, Anil Khachi & Lalit Kumar

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  1. O.S.K.S Sastri
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  2. Anil Khachi
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  3. Lalit Kumar
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Correspondence to O.S.K.S Sastri.

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Sastri, O., Khachi, A. & Kumar, L. An Innovative Approach to Construct Inverse Potentials Using Variational Monte-Carlo and Phase Function Method: Application to np and pp Scattering. Braz J Phys 52, 58 (2022). https://doi.org/10.1007/s13538-022-01063-1

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