1 gaskelld 1.1 From Omar.Benhar@roma1.infn.it Fri Jun  1 11:03:18 2001
 2              Date: Fri, 1 Jun 2001 13:35:36 +0200 (MET DST)
 3              From: "Omar Benhar - INFN, Roma - ++39-06-49914298"
 4                  <Omar.Benhar@roma1.infn.it>
 5              To: John R. Arrington <johna@cedar.phy.anl.gov>
 6              Cc: Omar Benhar <benhar@roma1.infn.it>
 7              
 8              John: 
 9              
10              the tabulated 4He spectral function that I sent a while ago looks 
11              allright to me. 
12              The spectral function consists of two contributions: the two body 
13              breakup contribution, whose energy dependence is a delta-function, and the 
14              background, giving rise to a continuum starting at the three-body breakup 
15              threshold.
16              The first bin in the table is indeed 1 MeV wide. It represents the 
17              delta-function contribution. The following bins, starting at 28.2 MeV, 
18              give the background.    
19              I have also checked that the normalization is correct to fractions of
20              a percent. 
21              
22 gaskelld 1.1 Attached are the files with the A=3 spectral functions, whose structure 
23              is explained below. 
24              
25              Best
26              		Omar
27              
28              
29              *******************************************************************************
30              
31              The files are organized as follows
32              
33               *** 3He: Paris potential, Faddeev calculations of the Hannover 
34                   group (see H. Meier-Hajduk, Ch. Hajduk, P.U. Sauer and W. Theis,
35                   Nucl. Phys. A395(1983)332). file 'spec3he_paris.data' ***
36              
37               - the first line gives the number of momentum and energy bins (65 and 15, 
38                 respectively)
39              
40               - the central values of momentum bins (MeV) are given in lines 2-66 (GeV)
41              
42               - lines 67-81 give central values and size of the energy bins (GeV)
43 gaskelld 1.1 
44               - then follow 15 blocks of 34 lines each, giving the proton and neutron spectral 
45                 functions as a function of momentum for each energy. The first 17 lines give the 
46                 proton spectral function, while the next 17 lines give the neutron spectral 
47                 function. For example, lines 82 iand 99 gives the proton and neutron spectral 
48                 functions corresponding to the first energy bin and the first four momentum bins, 
49                 respectively.
50              
51               - the spectral functions are given in units of GeV^-4
52              
53               - the normalizations of the proton and neutron spectral functions are
54              
55                  4 \pi \int dE dk k^2*P_p(k,E) = 1
56                  
57                  4 \pi \int dE dk k^2*P_n(k,E) = 1
58              
59              
60               *** 3He: Argonne v_14 + Urbana VII three-body force. Calculation carried
61                   out using the model described in O. Benhar and V.R. Pandharipande, Phys. Rev. 
62                   C 47(1993)2218. file 'spec3he_mod.dat' ***
63              
64 gaskelld 1.1  - the file is organized in exactly the same way as that containing the Hannover 
65                 spectral function. The only difference is that the  proton and neutron spectral 
66                 functions are normalized according to 
67              
68                  4 \pi \int dE dk k^2*P_p(k,E) = 2
69                 
70                  4 \pi \int dE dk k^2*P_n(k,E) = 1
71              
72              ********************************************************************************
73              
74              ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
75              Omar Benhar                      phone  ++39-06-49914298
76              INFN, Sezione Roma 1             fax    ++39-06-4454749
77              Piazzale Aldo Moro, 2            e-mail benhar@roma1.infn.it
78              I-00185 Rome, Italy
79              ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
80              
81                  [ Part 2, ""  Text/PLAIN (Name: "spec3he_paris.data")  703 lines. ]
82                  [ Unable to print this part. ]
83              
84              
85 gaskelld 1.1     [ Part 3, ""  Text/PLAIN (Name: "spec3he_mod.dat")  1,247 lines. ]
86                  [ Unable to print this part. ]
87