中子入射n+Ga～（67，71，Nat）反应截面的理论计算
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摘要
本文利用光学模型、复合核反应理论(Hauser-Feshbach理论)、激子模型、扭曲波恩近似等核反应理论模型，对能量在0.01-20MeV间的中子入射n+Ga~(69，71，Nat)的反应截面进行了理论计算。首先，对n+Ga~(69，71)反应的实验数据进行了分析，在此基础上利用APOM程序自动调节中子光学势参数程序，得到了一组相应的中子光学势参数。在上述中子光学势参数的基础上，对能量在0.01-20MeV间的中子入射Ga~(69，71)的反应截面进行了理论计算及分析。结果表明，理论值与实验值符合很好，理论模型是成功的。另外本文在基于对丰度分别为：60.108％和39.892％的核素Ga~(69)和Ga~(71)理论计算的基础上，对中子入射天然核Ga~(Nat)的反应截面的理论计算进行了研究和探索，但有待于进一步完善。在计算中，为了保证整个反应过程的能量守恒，我们严格考虑了反冲核效应的影响。计算结果分析表明，理论值与实验值符合得很好，利用文中给出的理论参数，可以运用光学模型、Hauser-Feshbach理论和激子模型理论从理论上预言核反应，并给出了可供核装置设计应用的B6格式的全套微观数据。
All cross sections neutron induced reaction elastic scattering angular distribution, neutron energy spectrum and double differential cross sections of n+Ga69,71,Nat were calculated and analyzed by using optical model and the semi-classical model of multi-step nuclear reaction processes based on the Hauser-Feshbach theory and the exciton model in the energy region up to 20MeV. A set of optimal neutron optical potential parameters are obtained by the code APOM for n+Ga69,71 reaction based on the experimental data of total, non-elastic cross sections and elastic scattering distribution. The abundance of the each isotopes should be considered in calculating the reaction of n+GaNat. Since the recoil effect is taken into account, the energy for whole reaction processes is balance. The calculated results indicate that the theoretical results which have been compared with experimental data are in good agreement with existed experimental data, and it is successful to predict nuclear reaction by using optical model and the semi-classical model of multi-step nuclear reaction processes in theory.
Bi zhen ( Theoretical Physics) Directed by Professor Sun xiu-quan
All cross sections neutron induced reaction elastic scattering angular distribution, neutron energy spectrum and double differential cross sections of n+Ga69,71,Nat were calculated and analyzed by using optical model and the semi-classical model of multi-step nuclear reaction processes based on the Hauser-Feshbach theory and the exciton model in the energy region up to 20MeV. A set of optimal neutron optical potential parameters are obtained by the code APOM for n+Ga69,71 reaction based on the experimental data of total, non-elastic cross sections and elastic scattering distribution. The abundance of the each isotopes should be considered in calculating the reaction of n+GaNat. Since the recoil effect is taken into account, the energy for whole reaction processes is balance. The calculated results indicate that the theoretical results which have been compared with experimental data are in good agreement with existed experimental data, and it is successful to predict nuclear reaction by using optical model and the semi-classical model of multi-step nuclear reaction processes in theory.
Bi zhen ( Theoretical Physics) Directed by Professor Sun xiu-quan
引文
1．苏宗涤，萨本豪，核反应理论讲义，中国原子能科学研究院
2．王书暖，核反应理论讲义，中国原子能院核工业部研究生院
3．张竞上，孙秀泉，核反应多步过程半经典理论，西北大学物理系印
4. H.G.MENG,W.C.TUNG,J.P.CHIEN, GA(N,N) CROSS SECTION MEASUREMENT AT 3.23 AND 4.03 MEV, J,NSE,83,504,8304
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13. M.V.PA SECHNIK,I.F.BARCHUK,I.A.TOTSKIY,V.I.STRIZHAK,A.M.KOROLEV, YU.V. GOFMAN,G.N.LOVCHIKOVA, E.A.KOLTYPIN,G.B.YAN'KOV, SCATTERING AND CAPTURE OF FAST NEUTRONS BY THE NUCLEI, C,58GENEVA, 15,18(2030),5807
14. YU.YA.STAVISSKII,V.A.TOLSTIKOV, MEASUREMENT OF RADIATIVE CAPTURE CROSS SECTIONS OF FAST NEUTRONS, USING GALLIUM ISOTOPES, J,AE,7,(3),259,5909
15. E.B.PAUL,R.L.CLARKE, CROSS SECTION MEASUREMENTS OF REACTIONS INDUCED BY NEUTRONS OF THE 14.5 MEV ENERGY, J,CJP,31,267,53
16. J.L.CASANOVA,M.L.SANCHEZ, MEASUREMENT OF THE (N,P),(N,ALPHA),(N,2N) CROSS SECTIONS OF ZN,GA,GE,AS,AND SE FOR 14.1 MEV NEUTRONS,AND (N,P) CROSS SECTION ANALYSIS, J,ARS,72,(3), 186,7607
17. T.KOBAYASHI,A.TANIGUCHI,T.IKUTA,K.KAWADE,H.YAMAMOTO,T.KATOH,T.IID A,A.TAKAHASHI,MEASUREMENT OF FORMATION CROSS SECTIONS OF SHORT-LIVED NUCLEI PRODUCTION BY 14 MEV NEUTRONS (Ⅳ), S,JAERI-M-91-032,265,9103
18. K.KAWADE,H.YAMAMOTO,T.KOBAYASHI,T.KATOH,T.IIDA,A.TAKAHASHI,MEAS UREMENT OF FORMATION CROSS SECTIONS OF SHORT-LIVED NUCLEI BY 14 MEV NEUTRONS, R,JAERI-M-92-020,9203
19. G.HELFER, U .JAHN,M. FLOREK,J.ORAVEC,I.SARKA,CROSSSECTIONDETERMINA TION OF THE (N,A) REACTIONS FOR THE AVERAGE WEIGHT NUCLEI IN NEUTRON ENERGY REGION ABOUT 3 MEV BY ACTIVATION ANALYSIS METHOD, J,CZJ/B,34,30,84
20. G.P. VINITSKAYA,V.N .LEVKOVSKIY,V.V.SOKOL'SKIY,I. V.KAZACHEVSKIY, CROSS-SECTIONS OF THE (N,P) AND (N,A)-REACTIONS AT NEUTRON ENERGY 14.8 MEV, J,YF,5,(6),1175,6706
21. A.D.MAJEDDIN,V.SEMKOVA,R.DOCZI.CS.M.BUCZKO,J.CSIKAI, NVESTIGATIONS (N,A) CROSS SECTIONS IN THE 14 MeV REGION, W, CSIKAI,97
22. S.M.QAIM, PRECISION MEASUREMENTS AND SYSTEMATICS OF (N,2N), (N,P)AND(N,A)REACTION C ROS S-SECTIONSAT14.7MEV-FAClLITYNEUTRONGEN ERATOR, DYNAGEN, W, QAIM,7404
2．王书暖，核反应理论讲义，中国原子能院核工业部研究生院
3．张竞上，孙秀泉，核反应多步过程半经典理论，西北大学物理系印
4. H.G.MENG,W.C.TUNG,J.P.CHIEN, GA(N,N) CROSS SECTION MEASUREMENT AT 3.23 AND 4.03 MEV, J,NSE,83,504,8304
5. A.CHATTERJEE,A.NATH,A.M.GHOSE, ABSOLUTE (N,2N) CROSS SECTIONS OF NUCLEI NEAR 14 MEV, C,69ROORKEE,2,117,6912
6. J.ARAMINOWICZ,J.DRESLER, INVESTIGATION OF THE (N,2N) REACTIONS AT 14.6 MEV FOR 42 NUCLIDES, P, INR- 1464,14,7305
7. M.BORMANN ,E.FRETWURST, P.SCHEHK.A,G .WREG E,SOMEEXCITATIONFUNCT10 NS OF NEUTRON INDUCED REACTONS, J,NP,63,438,6503
8. E.B.PAUL,R.L.CLARKE, CROSS SECTION MEASUREMENTS OF REACTIONS INDUCED BY NEUTRONS OF THE 14.5 MEV ENERGY, J,CJP,31,267,53
9. J.L.CASANOVA,M.L.SANCHEZ, MEASUREMENT OF THE (N,P),(N,ALPHA),(N,2N) CROSS SECTIONS OF ZN,GA,GE,AS,AND SE FOR 14.1 MEV NEUTRONS,AND (N,P) CROSS SECTION ANALYSIS, J,ARS,72,(3), 186,7607
10. J.CSIKAI,G.PETO, INFLUENCE OF DIRECT INELASTIC SCATTERING ON (N,2N) CROSS-SECTIONS, J,AHP,23,87,6705
11. D.V.VIKTOROV, V.L.SJABLIN, CROSS-SECTIONS FOR (N,2N) REACTIONS ON GA,AS,SM,GD FOR 14.1 MEV NEUTRONS, J,YF, 15,(6),1099,7206
12. J.FREHAUT, A.BERTIN,R.BOIS,J.JARY, STATUS OF (N,2N) CROSS SECTION MEASUREMENTS AT BRUYERES-LE-CHATEL, W, FREHAUT,800609
13. M.V.PA SECHNIK,I.F.BARCHUK,I.A.TOTSKIY,V.I.STRIZHAK,A.M.KOROLEV, YU.V. GOFMAN,G.N.LOVCHIKOVA, E.A.KOLTYPIN,G.B.YAN'KOV, SCATTERING AND CAPTURE OF FAST NEUTRONS BY THE NUCLEI, C,58GENEVA, 15,18(2030),5807
14. YU.YA.STAVISSKII,V.A.TOLSTIKOV, MEASUREMENT OF RADIATIVE CAPTURE CROSS SECTIONS OF FAST NEUTRONS, USING GALLIUM ISOTOPES, J,AE,7,(3),259,5909
15. E.B.PAUL,R.L.CLARKE, CROSS SECTION MEASUREMENTS OF REACTIONS INDUCED BY NEUTRONS OF THE 14.5 MEV ENERGY, J,CJP,31,267,53
16. J.L.CASANOVA,M.L.SANCHEZ, MEASUREMENT OF THE (N,P),(N,ALPHA),(N,2N) CROSS SECTIONS OF ZN,GA,GE,AS,AND SE FOR 14.1 MEV NEUTRONS,AND (N,P) CROSS SECTION ANALYSIS, J,ARS,72,(3), 186,7607
17. T.KOBAYASHI,A.TANIGUCHI,T.IKUTA,K.KAWADE,H.YAMAMOTO,T.KATOH,T.IID A,A.TAKAHASHI,MEASUREMENT OF FORMATION CROSS SECTIONS OF SHORT-LIVED NUCLEI PRODUCTION BY 14 MEV NEUTRONS (Ⅳ), S,JAERI-M-91-032,265,9103
18. K.KAWADE,H.YAMAMOTO,T.KOBAYASHI,T.KATOH,T.IIDA,A.TAKAHASHI,MEAS UREMENT OF FORMATION CROSS SECTIONS OF SHORT-LIVED NUCLEI BY 14 MEV NEUTRONS, R,JAERI-M-92-020,9203
19. G.HELFER, U .JAHN,M. FLOREK,J.ORAVEC,I.SARKA,CROSSSECTIONDETERMINA TION OF THE (N,A) REACTIONS FOR THE AVERAGE WEIGHT NUCLEI IN NEUTRON ENERGY REGION ABOUT 3 MEV BY ACTIVATION ANALYSIS METHOD, J,CZJ/B,34,30,84
20. G.P. VINITSKAYA,V.N .LEVKOVSKIY,V.V.SOKOL'SKIY,I. V.KAZACHEVSKIY, CROSS-SECTIONS OF THE (N,P) AND (N,A)-REACTIONS AT NEUTRON ENERGY 14.8 MEV, J,YF,5,(6),1175,6706
21. A.D.MAJEDDIN,V.SEMKOVA,R.DOCZI.CS.M.BUCZKO,J.CSIKAI, NVESTIGATIONS (N,A) CROSS SECTIONS IN THE 14 MeV REGION, W, CSIKAI,97
22. S.M.QAIM, PRECISION MEASUREMENTS AND SYSTEMATICS OF (N,2N), (N,P)AND(N,A)REACTION C ROS S-SECTIONSAT14.7MEV-FAClLITYNEUTRONGEN ERATOR, DYNAGEN, W, QAIM,7404