The possibility to obtain the electro-nuclear response functions from the knowledge of their Stieltjes transforms is investigated. The deuteron longitudinal response is taken as a test case. The Stieltjes transform is calculated using closure. This leads to a dynamical equation similar to a bound-state Schrodinger equation, which can possibly be solved for few-body systems. Various methods of reconstructing the response are considered. Very good results are always obtained in the low-energy region and for the elastic form factor. For a satisfactory description of the response function over a large energy range, the Stieltjes transform must be known with a rather high precision. Only in specific cases one may obtain surprisingly good results with less accurate Stieltjes transforms.

Electron scattering response functions from their Stieltjes transforms

Efros, Victor;Leidemann, Winfried;Orlandini, Giuseppina
1993

Abstract

The possibility to obtain the electro-nuclear response functions from the knowledge of their Stieltjes transforms is investigated. The deuteron longitudinal response is taken as a test case. The Stieltjes transform is calculated using closure. This leads to a dynamical equation similar to a bound-state Schrodinger equation, which can possibly be solved for few-body systems. Various methods of reconstructing the response are considered. Very good results are always obtained in the low-energy region and for the elastic form factor. For a satisfactory description of the response function over a large energy range, the Stieltjes transform must be known with a rather high precision. Only in specific cases one may obtain surprisingly good results with less accurate Stieltjes transforms.
Efros, Victor; Leidemann, Winfried; Orlandini, Giuseppina
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/70471
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 23
  • ???jsp.display-item.citation.isi??? 25
social impact