Energy Resolution with the Lorentz integral transform

TL;DR

The paper discusses the Lorentz Integral Transform (LIT) method's ability to achieve controlled energy resolution in many-body continuum reactions, demonstrated through a two-body reaction and the 4He monopole resonance.

Contribution

It provides an analysis of the LIT method's resolution capabilities and illustrates its effectiveness in resolving narrow resonances in many-body systems.

Findings

LIT method allows controlled energy resolution.

Narrow resonances can be resolved with LIT.

Estimated width of 4He monopole resonance is 180(70) keV.

Abstract

A brief outline of the Lorentz Integral Transform (LIT) method is given. The method is well established and allows to treat reactions into the many-body continuum with bound-state like techniques. The energy resolution that can be achieved is studied by means of a simple two-body reaction. From the discussion it will become clear that the LIT method is an approach with a controlled resolution and that there is no principle problem to even resolve narrow resonances in the many-body continuum. As an example the isoscalar monopole resonance of 4He is considered. The importance of the choice of a proper basis for the expansion of the LIT states is pointed out. Employing such a basis a width of 180(70) keV is found for the 4He isoscalar monopole resonance when using a simple central nucleon-nucleon potential model.