https://doi.org/10.1140/epja/i2005-10009-3
Original Article
New inversion methods for the Lorentz Integral Transform
1
Dipartimento di Fisica, Università di Trento, I-38050, Povo (TN), Italy
2
Gruppo Collegato di Trento, INFN, I-38050, Povo (TN), Italy
3
Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099, Mainz, Germany
* e-mail: leideman@science.unitn.it
Received:
28
February
2005
Accepted:
22
March
2005
Published online:
24
May
2005
The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform.
PACS: 25.30.-c Lepton-induced reactions – / 25.30.Fj Inelastic electron scattering to continuum – / 25.20.Dc Photon absorption and scattering – / 02.30.Uu Integral transforms –
© Società Italiana di Fisica and Springer-Verlag, 2005