THE LORENTZ INTEGRAL TRANSFORM (LIT) METHOD

ar X iv : n uc l - th / 0 41 10 32 v 1 9 N ov 2 00 4 Recent Developments in the Lorentz Integral Transform ( LIT ) Method

Recent results on electromagnetic (e.m.) reactions into the continuum of systems with A from 3 to 7 are presented. They have been obtained using the LIT method [1]. The method is shortly reviewed, emphasizing how all the results, though obtained with the sole ingredient of the N-N potential, contain the full complicated dynamics of the A-body system, both in the initial and in the final states....

Lorentz Integral Transform for Inclusive and Exclusive Cross Sections with the Lanczos Method

The Lorentz Integral Transform (LIT) method is reformulated via the Lanczos algorithm both for inclusive and exclusive reactions. The new technique is tested for the total photoabsorption cross section of 3H and 4He. Due to the rapid convergence of the algorithm one has a decrease in cpu time by two orders of magnitude, but at the same time an excellent agreement with the results of a conventio...

Calculation of Exclusive Cross Sections with the Lorentz Integral Transform Method

The longitudinal structure function of the d(e, ep) exclusive cross section is calculated with the Lorentz integral transform method. In this approach final state interaction is fully taken into account, but without using a final state wave function. Cross sections are obtained via the inversion of the transform. It is shown that the inversion results are very stable. The comparison to a conven...

π-Photoproduction on the deuteron via ∆-excitation using the Lorentz Integral Transform

The Lorentz Integral Transform method (LIT) is extended to pion photoproduction in the ∆resonance region. The main focus lies on the solution of the conceptual difficulties which arise if energy dependent operators for nucleon resonance excitations are considered. In order to demonstrate the applicability of our approach, we calculate the inclusive cross section for π-photoproduction off the de...

Solving Fuzzy Integral Equations of the Second Kind by Fuzzy Laplace Transform Method