Neutrino Induced 4He Break-up Reaction -- Application of the Maximum Entropy Method in Calculating Nuclear Strength Function

TL;DR

This paper explores the use of the maximum entropy method to accurately invert Lorentz integral transformations, demonstrated through calculating the spin-dipole strength function of helium-4 in nuclear physics.

Contribution

It introduces the maximum entropy method as a novel approach for solving the ill-posed inversion problem in the LIT method for nuclear strength functions.

Findings

Maximum entropy method successfully inverts LIT with sufficient data accuracy.

The method provides reliable results for the 4He spin-dipole strength function.

Demonstrates potential for broader applications in nuclear physics calculations.

Abstract

The maximum entropy method is examined as a new tool for solving the ill-posed inversion problem involved in the Lorentz integral transformation (LIT) method. As an example, we apply the method to the spin-dipole strength function of 4He. We show that the method can be successfully used for inversion of LIT, provided the LIT function is available with a sufficient accuracy.