NASA/TP- 1999- 209125 A Simple Method for Nucleon-Nucleon Cross Sections in a Nucleus R. K. Tripathi Hampton University, Hampton, Virginia Francis A. Cucinotta Lyndon B. Johnson Space Center, Houston, Texas John W. Wilson Langley Research Center, Hampton, Virginia April 1999 https://ntrs.nasa.gov/search.jsp?R=19990035994 2018-11-13T07:08:56+00:00Z
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NASA/TP- 1999- 209125
A Simple Method for Nucleon-NucleonCross Sections in a Nucleus
Figure 3. Modified proton-proton cross sections cypp,m for various proton-nucleus collisions.
150I I I
100
50
-- p+C
........ p+A1
p +Fe
p +Pb
.,. ".,,:,.../ ,..,,'...
. "-:4::..." . "'-o
, , , , I , , , , I , , , , I , , , ,
0 50 100 150 200
Energy, A MeV
Figure 4. Modified neutron-proton cross sections _np,,, for various proton-nucleus collisions.
150 I I I
100
50
p+C
........ p+A1
p+Fe
..... p+Pb
, , , , I , , , , I , , , , I , , , ,
0 50 100 150 200
Energy, A MeV
Figure 5. Modified nucleon-nucleon cross sections (YNN,m for various proton-nucleus collisions.
150I I I
100
ZZ
50
p+C
........ p+A1
p+Fe
..... p+Pb
, , , , I , , , , I , , , , I , , , ,
0 500 1000 1500 2000
Energy, A MeV
Figure 6. Modified nucleon-nucleon cross sections (YNN,m for various proton-nucleus collisions with energy range extended to2 A GeV to demonstrate variation of nucleon-nucleon cross sections with energy.
150I I I
C
100
50
n+C
........ n+A1
n+Fe
..... n+Pb
, , , , I , , , , I , , , , I , , , ,
0 50 100 150 200
Energy, A MeV
Figure 7. Modified proton-proton cross sections ¢Ypp,m for various neutron-nucleus collisions.
150I I I
100
n+C
........ n+A1
n+Fe
..... n+Pb
0 50 100 150 200
Energy, A MeV
Figure 8. Modified neutron-proton cross sections 6np,m for various neutron-nucleus collisions.
Figure 9. Modified nucleon-nucleon cross sections (YNN,m for various neutron-nucleus collisions.
150I I I
100
ZZ
50
n+C
........ n+A1
n+Fe
..... n+Pb
, , , , I , , , , I , , , , I , , , ,
0 500 1000 1500 2000
Energy, A MeV
Figure 10. Modified nucleon-nucleon cross sections (YNN,m for various neutron-nucleus collisions with energy range extendedto 2 A GeV to demonstrate variation of nucleon-nucleon cross sections with energy.
150I I I
100
C+C
........ C+A1
C+Fe
..... C+Pb
, , , , I , , , , I , , , , I , , , ,
0 50 100 150 200
Energy, A MeV
Figure 11. Modified proton-proton cross sections 6pp,m for various nucleus-nucleus collisions.
250I I I
200
150
100
5O
"°
"\ \'-
•\x-. C+C
•\\... ........ C+A1"xx". --- C+Fe
..... C+Pb
, , , , I , , , , I , , , , I , , , ,
0 50 100 150 200
Energy, A MeV
Figure 12. Modified neutron-proton cross sections ¢Ynp,mfor various nucleus-nucleus collisions.
10
ZZ
150
100
50
I I
C+C
C +A1
\". --- C+Fe
-x" ...... C+Pb•\ \".
, , , , I , , , , I , , , , I , , , ,
0 50 100 150 200
Energy, A MeV
Figure 13. Modified nucleon-nucleon cross sections (YNN,m for various nucleus-nucleus collisions.
150I I I
ZZ
100
50
C+C
........ C+A1
C+Fe
..... C+Pb
, , , , I , , , , I , , , , I , , , ,
0 500 1000 1500 2000
Energy, A MeV
Figure 14. Modified nucleon-nucleon cross sections (YNN,m for various nucleus-nucleus collisions with energy range extendedto 2 A GeV to demonstrate variation of nucleon-nucleon cross sections with energy.
11
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1. AGENCY USE ONLY (Leave blank ]2. REPORT DATE 3. REPORTTYPE AND DATES COVERED
I April 1999 Technical Publication4. TITLE AND SUBTITLE 5. FUNDING NUMBERS
A Simple Method for Nucleon-Nucleon Cross Sections in a Nucleus
6. AUTHOR(S)
R. K. Tripathi, Francis A. Cucinotta, and John W. Wilson
7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)
NASA Langley Research CenterHampton, VA 23681-2199
9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)
National Aeronautics and Space AdministrationWashington, DC 20546-0001
WU 199-45-16-11
8. PERFORMING ORGANIZATION
REPORT NUMBER
L-17791
10. SPONSORING/MONITORING
AGENCY REPORT NUMBER
NASA/TP-1999-209125
11. SUPPLEMENTARY NOTES
Tripathi: Hampton University, Hampton, VA; Cucinotta: Lyndon B. Johnson Space Center, Houston, TX;Wilson: Langley Research Center, Hampton, VA.
12a. DISTRIBUTION/AVAILABILITY STATEMENT
Unclassified-Unlimited
Subject Category 93 Distribution: StandardAvailability: NASA CASI (301) 621-0390
12b. DISTRIBUTION CODE
13. ABSTRACT (Maximum 200 words)
A simple reliable formalism is presented for obtaining nucleon-nucleon cross sections within a nucleus in nuclearcollisions for a given projectile and target nucleus combination at a given energy for use in transport, Monte Carloand other calculations. The method relies on extraction of these values from experiments and has been tested andfound to give excellent results.
14. SUBJECT TERMS
Nuclear reactions; Cross sections; Medium effects15. NUMBER OF PAGES