Statistical tools for a better optical model

نویسندگان

چکیده

Background: Modern statistical tools provide the ability to compare information content of observables and a path explore which experiments would be most useful give insight into constrain theoretical models.Purpose: In this work we study three such in context nuclear reactions with goal constraining optical potential.Method: The examined are (i) principal component analysis, (ii) sensitivity analysis based on derivatives, (iii) Bayesian evidence. We first apply these toy-model case, comparing form imaginary part potential. Then consider two different reaction observables, elastic angular distributions polarization data for $^{48}\mathrm{Ca}$ $^{208}\mathrm{Pb}$ at beam energies.Results: For find significant discrimination power sensitivities evidence, showing clearly that volume term is more describe scattering higher energies. When between cross sections using realistic models, studies indicate both roughly equally sensitive but variability model parameters strongly angle dependent. evidence shows some Bayes factor obtained not sufficient discriminate polarization.Conclusions: From cases considered, conclude that, general, have similar impact potential compared data. ranges optimum experimental constraints can vary significantly observable considered.

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ژورنال

عنوان ژورنال: Physical Review C

سال: 2021

ISSN: ['2470-0002', '2469-9985', '2469-9993']

DOI: https://doi.org/10.1103/physrevc.104.064611