HE-NAT FROM ENDF/B-III TAPE 301 (REV.1) (1-23-73) 301 0 0 0 2.00000+ 3 3.96822+ 0 0 0 0 101088 1451 1 0. + 0 0. + 0 0 0 77 01088 1451 2 HELIUM ANL EVAL-JUN68 E.M.PENNINGTON (NATURAL ELEMENT) 1088 1451 3 ANL-7462 (OCT,1968) DIST-JUN70 REV-JUN70 1088 1451 4 * * * * * * * 1088 1451 5 DATA MODIFIED JUNE,1970 TO CONFORM TO ENDF/B-II FORMATS 1088 1451 6 * * * * * * * 1088 1451 7 HELIUM CROSS SECTIONS MATERIAL 1088 1088 1451 8 COMPILED BY ED PENNINGTON, ARGONNE NATIONAL LAB., IN JUNE 1968. 1088 1451 9 NATURAL HELIUM CONSISTS OF 0.00013 PER CENT HE-3 AND 99.99987 PER1088 1451 10 CENT HE-4. 1088 1451 11 BECAUSE OF THE LOW ABUNDANCE OF HE-3, ONLY ITS (N,P) CROSS 1088 1451 12 SECTION, WHICH IS VERY LARGE AT LOW ENERGIES, NEED BE CONSIDERED.1088 1451 13 ELASTIC SCATTERING IS THE ONLY POSSIBLE REACTION FOR NEUTRONS 1088 1451 14 INCIDENT ON HE-4 AT ENERGIES BELOW 15 MEV. THUS THE ELASTIC 1088 1451 15 SCATTERING CROSS SECTION AND VALUES OF MU BAR(LAB), XI, AND GAMMA1088 1451 16 ARE GIVEN IN FILE 3, AND ELASTIC SCATTERING LEGENDRE COEFFICIENTS1088 1451 17 ARE GIVEN IN FILE 4. PARAMETERS FOR A FREE GAS THERMAL SCATTERING1088 1451 18 LAW ARE IN FILE 7. 1088 1451 19 THE ELASTIC SCATTERING CROSS SECTION AND THE LEGENDRE EXPANSION 1088 1451 20 COEFFICIENTS WERE CALCULATED FROM S-,P-, AND D-WAVE PHASE SHIFTS 1088 1451 21 USING A FORTRAN PROGRAM WRITTEN FOR THE PURPOSE. THE PHASE SHIFTS1088 1451 22 WERE READ FROM SMOOTH CURVES BASED ON TABLE I OF REF.1. AT 1088 1451 23 ENERGIES BELOW THE 300 KEV. LOWER LIMIT OF TABLE I, EACH OF THE 1088 1451 24 TWO P-WAVE PHASE SHIFTS WAS OBTAINED BY ASSUMING A FUNCTIONAL 1088 1451 25 FORM BASED ON THE LOW ENERGY LIMIT FOR A SINGLE P-WAVE RESONANCE,1088 1451 26 WITH PARAMETERS DETERMINED FROM FITTING THE LOW ENERGY PHASE 1088 1451 27 SHIFTS OF TABLE I. THE S-WAVE PHASE SHIFT BELOW 300 KEV. WAS 1088 1451 28 CALCULATED USING HARD SPHERE SCATTERING AND A NUCLEAR RADIUS, A= 1088 1451 29 2.4 FERMI. THIS YIELDS THE THERMAL SCATTERING CROSS SECTION = 1088 1451 30 4.*PI*A**2= 0.7238 BARNS IN AGREEMENT WITH THE EXPERIMENTAL VALUE1088 1451 31 OF 0.73+- 0.05 BARNS (REF.2). THE LOW ENERGY S-WAVE PHASE SHIFTS 1088 1451 32 OF TABLE I ARE CONSISTENT WITH A NUCLEAR RADIUS OF ABOUT 2.48 1088 1451 33 FERMI, AND SO WOULD YIELD A SOMEWHAT HIGH THERMAL CROSS SECTION. 1088 1451 34 VALUES OF MU BAR(LAB), XI, AND GAMMA WERE CALCULATED FROM THE 1088 1451 35 LEGENDRE COEFFICIENTS USING A FORTRAN PROGRAM, MUXIGA. THIS 1088 1451 36 PROGRAM USES THE EQUATIONS OF REF.3-5. 1088 1451 37 AN ELASTIC SCATTERING TRANSFORMATION MATRIX FROM THE CENTER-OF- 1088 1451 38 MASS TO THE LABORATORY SYSTEM WAS COMPUTED USING CHAD (REF.6). 1088 1451 39 THE (N,P) CROSS SECTION FOR HE-3 IS THAT RECOMMENDED IN THE 1088 1451 40 EVALUATION OF HE-3 BY J. ALS-NIELSEN GIVEN IN REF.7. EXTENSION 1088 1451 41 FROM 10 TO 15 MEV. WAS MADE USING LINEAR EXTRAPOLATION ON A 1088 1451 42 LOG SIGMA- LOG E SCALE. 1088 1451 43 THE TOTAL CROSS SECTION IS THE SUM OF THE ELASTIC SCATTERING AND 1088 1451 44 (N,P) CROSS SECTIONS. 1088 1451 45 COMMENTS- 1088 1451 46 THE PHASE SHIFTS OF REF.1 ARE OPTICAL MODEL PHASE SHIFTS CHOSEN 1088 1451 47 TO FIT BOTH ANGULAR DISTRIBUTION AND POLARIZATION DATA AT MANY 1088 1451 48 ENERGIES. THE TOTAL SCATTERING CROSS SECTION IS ALSO FIT WITHIN 1088 1451 49 THE SCATTER OF THE EXPERIMENTAL POINTS. ANOTHER RECENT SET OF 1088 1451 50 PHASE SHIFTS (REF.8) IS NOT VERY DIFFERENT FROM THOSE USED HERE, 1088 1451 51 AND COULD ALSO HAVE BEEN USED IN THE PRESENT WORK. THERE SHOULD 1088 1451 52 BE NO SERIOUS ERRORS IN THE HE-4 DATA CALCULATED FROM THE PHASE 1088 1451 53 SHIFTS. 1088 1451 54 AS DISCUSSED IN REF.7, THE HE-3 (N,P) CROSS SECTION IS RATHER 1088 1451 55 WELL KNOWN. PROBABLY MORE ERROR IS INTRODUCED INTO THE (N,P) 1088 1451 56 CROSS SECTION FOR NATURAL HELIUM BY THE UNCERTAINTY IN THE HE-3 1088 1451 57 ISOTOPIC ABUNDANCE THAN BY THE UNCERTAINTY IN THE HE-3 (N,P) 1088 1451 58 CROSS SECTION ITSELF. 1088 1451 59 PREVIOUS EVALUATIONS OF HELIUM FOR REACTOR CALCULATIONS INCLUDE 1088 1451 60 THOSE OF J.J.SCHMIDT (REF.9) AND B.R.S.BUCKINGHAM ET AL (REF.10).1088 1451 61 SCHMIDT-S EVALUATION INCLUDES THE (N,P) CROSS SECTION FOR HE-3, 1088 1451 62 AND SIGMA ELASTIC, MU BAR(LAB), AND A SET OF PHASE SHIFTS FOR 1088 1451 63 HE-4. BUCKINGHAM ET AL GIVE SEPARATE EVALUATIONS FOR HE-3 AND 1088 1451 64 HE-4. FOR HE-3 ELASTIC, (N,P), (N,D), AND (N,2N) CROSS SECTIONS 1088 1451 65 ARE GIVEN, AS WELL AS ELASTIC ANGULAR DISTRIBUTIONS. THE HE-4 1088 1451 66 EVALUATION GIVES THE ELASTIC CROSS SECTION AND ANGULAR 1088 1451 67 DISTRIBUTIONS. 1088 1451 68 REFERENCES- 1088 1451 69 1. G.R.SATCHLER ET AL. NUCLEAR PHYSICS A112,1-31,(1968). 1088 1451 70 2. R.GENIN ET AL. JOURNAL DE PHYSIQUE ET LE RADIUM 24,21-26,1963.1088 1451 71 3. H.AMSTER JOURNAL OF APPLIED PHYSICS 27,3,307,(1956). 1088 1451 72 4. H.AMSTER JOURNAL OF APPLIED PHYSICS 27,6,663,(1956). 1088 1451 73 5. H.AMSTER JOURNAL OF APPLIED PHYSICS 29,4,623-627,(1958). 1088 1451 74 6. R.F.BERLAND NAA-SR-11231,(1965). 1088 1451 75 7. E.N.E.A. NEUTRON DATA COMPILATION CENTRE NEWSLETTER NO.6,1967.1088 1451 76 8. B.HOOP,JR. AND H.H.BARSCHALL NUCLEAR PHYSICS 83,65-79,(1966). 1088 1451 77 9. J.J.SCHMIDT KFK-120,PARTS II,III,(1962),PART I,(1966). 1088 1451 78 10.B.R.S.BUCKINGHAM ET AL AWRE O-28/60,(1961). 1088 1451 79 1 451 89 1088 1451 80 2 151 4 1088 1451 81 3 1 51 1088 1451 82 3 2 51 1088 1451 83 3 103 51 1088 1451 84 3 251 39 1088 1451 85 3 252 39 1088 1451 86 3 253 39 1088 1451 87 4 2 237 1088 1451 88 7 4 4 1088 1451 89 1088 1 0 90 1088 0 0 91 2.00000+ 3 3.96822+ 0 0 0 1 01088 2151 92 2.00400+ 3 1.00000+ 0 0 0 1 01088 2151 93 1.00000- 5 1.00000+ 5 0 0 0 01088 2151 94 0. + 0 2.41400- 1 0 0 0 01088 2151 95 1088 2 0 96 1088 0 0 97 2.00000+ 3 3.96822+ 0 0 99 0 01088 3 1 98 0. + 0 0. + 0 0 0 1 1421088 3 1 99 142 3 1088 3 1 100 1.00000- 5 1.07210+ 0 2.00000- 5 9.70100- 1 3.00000- 5 9.24900- 11088 3 1 101 5.00000- 5 8.79600- 1 7.00000- 5 8.55500- 1 1.00000- 4 8.33900- 11088 3 1 102 2.00000- 4 8.01700- 1 3.00000- 4 7.87400- 1 5.00000- 4 7.73100- 11088 3 1 103 7.00000- 4 7.65400- 1 1.00000- 3 7.58600- 1 2.00000- 3 7.48400- 11088 3 1 104 3.00000- 3 7.43900- 1 5.00000- 3 7.39400- 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