This study performed a statistical analysis of the correlation and uncertainty of parameters in the classical liquid drop mass formula(namely BW3 type)via regression,along with the theoretical impact of error propagat...This study performed a statistical analysis of the correlation and uncertainty of parameters in the classical liquid drop mass formula(namely BW3 type)via regression,along with the theoretical impact of error propagation.Within the improved BW3 formula,the total deviation between evaluation and experiment can be reduced to 1.66 MeV,involving a reduction from 2.89(2.42)MeV to 1.92(1.89)MeV in the proton(neutron)-dripline region.Ridge regression validation verified this total deviation as the optimal point in the present mass model.Through trend coefficients and Pearson linear-correlation analysis,obvious collinearity was identified between volume,surface,Coulomb,and curvature terms,with notable correlation among high-order symmetry energy and surface symmetry terms.The theoretical derivation of the distribution of binding energy error was then achieved through error propagation analysis.Across the nuclide chart,the error uncertainty of mass predictions varies from 1.996 to 124.469 keV,demonstrating a convex trend of the initial decrease of evaluation error followed by an increase versus the neutron number.展开更多
基金Research at ZSTU was supported by the National Natural Science Foundation of China(Grants No.U2267205,No.12475124)ZSTU intramural grant(22062267-Y)+2 种基金supported by the National Natural Science Foundation of China(Grant No.12075121)the Natural Science Foundation of Jiangsu Province(Grant No.BK20190067)the Fundamental Research Funds for the Central Universities(Grant No.30922010312)。
文摘This study performed a statistical analysis of the correlation and uncertainty of parameters in the classical liquid drop mass formula(namely BW3 type)via regression,along with the theoretical impact of error propagation.Within the improved BW3 formula,the total deviation between evaluation and experiment can be reduced to 1.66 MeV,involving a reduction from 2.89(2.42)MeV to 1.92(1.89)MeV in the proton(neutron)-dripline region.Ridge regression validation verified this total deviation as the optimal point in the present mass model.Through trend coefficients and Pearson linear-correlation analysis,obvious collinearity was identified between volume,surface,Coulomb,and curvature terms,with notable correlation among high-order symmetry energy and surface symmetry terms.The theoretical derivation of the distribution of binding energy error was then achieved through error propagation analysis.Across the nuclide chart,the error uncertainty of mass predictions varies from 1.996 to 124.469 keV,demonstrating a convex trend of the initial decrease of evaluation error followed by an increase versus the neutron number.
