ELECTRON-SCATTERING RESPONSE FUNCTIONS FROM THEIR STIELTJES TRANSFORMS

被引:24
作者
EFROS, VD [1 ]
LEIDEMANN, W [1 ]
ORLANDINI, G [1 ]
机构
[1] UNIV SASKATCHEWAN,LINEAR ACCELERATOR LAB,SASKATOON S7N 0W0,SASKATCHEWAN,CANADA
关键词
D O I
10.1007/BF01080714
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页码:151 / 170
页数:20
相关论文
共 15 条
[11]  
Pines D., 1966, THEORY QUANTUM LIQUI, DOI 10.1201/9780429495717
[12]   QUASI-ELASTIC ELECTRON-SCATTERING FROM NUCLEI [J].
ROSENFELDER, R .
ANNALS OF PHYSICS, 1980, 128 (01) :188-240
[13]  
Schiavilla R., COMMUNICATION
[14]  
Widder DV, 1946, PRINCETON MATH SERIE, V6, P42
[15]   NUCLEON-NUCLEON POTENTIALS WITH AND WITHOUT DELTA-(1232) DEGREES OF FREEDOM [J].
WIRINGA, RB ;
SMITH, RA ;
AINSWORTH, TL .
PHYSICAL REVIEW C, 1984, 29 (04) :1207-1221