The Lorentz Integral Transform and its Inversion

Details The Lorentz Integral Transform and its Inversion The Lorentz Integral Transform and its Inversion

2009-06-30

arxiv.org/abs/0906.5421v2

Few Body Syst.47:201-206,2010

Physics

Nuclear Physics

Nuclear Theory

10 pages, this version has been made more self-contained

Scientific paper

10.1007/s00601-009-0081-0

The Lorentz integral transform method is briefly reviewed. The issue of the inversion of the transform, and in particular its ill-posedness, is addressed. It is pointed out that the mathematical term ill-posed is misleading and merely due to a historical misconception. In this connection standard regularization procedures for the solution of the integral transform problem are presented. In particular a recent one is considered in detail and critical comments on it are provided. In addition a general remark concerning the concept of the Lorentz integral transform as a method with a controlled resolution is made.

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