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In Dc International Nuclear Data Committee International Atomic Energy Agency INDC(CCP)-326/L+F I N DC INTERNATIONAL NUCLEAR DATA COMMITTEE NUCLEAR PHYSICS CONSTANTS FOR THERMONUCLEAR FUSION A Reference Handbook S.N. Abramovich, B.Ya. Guzhovskij, V.A. Zherebtsov, A.G. Zvenigorodskij CENTRAL SCIENTIFIC RESEARCH INSTITUTE ON INFORMATION AND TECHNO-ECONOMIC RESEARCH ON ATOMIC SCIENCE AND TECHNOLOGY STATE COMMITTEE ON THE UTILIZATION OF ATOMIC ENERGY OF THE USSR Moscow - 1989 Translated by A. Lorenz for the International Atomic Energy Agency March 1991 IAEA NUCLEAR DATA SECTION, WAG RAMERSTRASSE 5, A-1400 VIENNA INDC«XP)-326/L+F NUCLEAR PHYSICS CONSTANTS FOR THERMONUCLEAR FUSION A Reference Handbook S.N. Abramovich, B.Ya. Guzhovskij, V.A. Zherebtsov, A.G. Zvenigorodskij CENTRAL SCIENTIFIC RESEARCH INSTITUTE ON INFORMATION AND TECHNO-ECONOMIC RESEARCH ON ATOMIC SCIENCE AND TECHNOLOGY STATE COMMITTEE ON THE UTILIZATION OF ATOMIC ENERGY OF THE USSR Moscow - 1989 Translated by A. Lorenz for the International Atomic Energy Agency March 1991 Reproduced by the IAEA in Austria March 1991 91-01324 PREFACE TsNII-ATOMINFORM presents a reference handbook on 'Nuclear-Physics Constants for Thermonuclear Fusion" UDK 539.17 Light nuclei reactions are required for a number of practical applica- tions: they are used extensively in nuclear physics research as neutron sources, and as standards for the normalization of absolute reaction cross-sections. Nuclear reactions with light nuclei are useful in non-destructive testing and in the determination of isotopic compositions when other analytical methods are not adequate for obtaining the required information. The information presented in this handbook consists of nuclear reaction cross-sections and scattering cross-sections for the interaction of hydrogen and helium isotopes with nuclei of Z < 5. The evaluated integral and partial differential cross-sections presented here have been derived from a large body of compiled information, and encompass data for both exo-energetic and endo-energetic reaction channels. The evaluated data are presented in the form of sets of coefficients for fitted polynomials which ensures reliable interpolation of the data using contemporary computer methods. The handbook is intended for a wide audience of users in the field of nuclear physics, astrophysics, and biophysics. The price of this handbook is 40 roubles; it can be obtained by writing to the Collection Laboratory, P.O. Box 971, Moscow, 127434. Table of Contents List of Symbols and Abbreviations 9 Foreword H Chapter 1. Thermonuclear Reactions for Nuclear Fusion 12 1.1. The 3H + d interaction 14 1.2. The 2H + d interaction 14 1.3. The 3H + t interaction 15 1.4. The 3He + d interaction 15 1.5. The 3He + t interaction 15 1.6. The 6Li + p interaction 16 1.7. The 6Li + d interaction 16 1.8. The 7Li + d interaction 16 1.9. The ^Be + p interaction 17 1.10. The HB + p interaction 17 Chapter 2. Evaluation Methodology 18 Chapter 3. Cross-Sections for the Interaction of Hydrogen and Helium Isotopes 22 3.1. Basic Data 22 3.2. The 2H(p,y)3He reaction 22 3.3. The deuteron break-up in the d + p interaction 23 The 2H(p,p + n)!H reaction 23 3.4. The 2H(d,y)4He reaction 23 3.5. The 2H(d,n)3He reaction 24 3.6. The 2H(d,p)3H reaction 24 3.7. The 2H(d,p + n)2H reaction 25 3.8. The 3H(p,Y)4He reaction 25 3.9. Neutron yield in the interactions of protons with tritium nuclei. The 3H(p,n)3He and 3H(p,x)n reactions 25 3 5 3.10. The H(dlY) He 26 3.11. The 3H(d,n)4He reaction 26 3.12. The 3H(d,n + p)3H and 3H(d,2n)3H reactions 27 3.13. The 3H(t,2n)4He reaction 27 3.14. The 3H(T,Y)6L1 reaction 28 3.15. The 3He(d,Y)5Li reaction 28 3.16. The 3He(d,p)4He reaction 29 3.17. The break-up of the deuteron on helium-3 nuclei The 3He(d,n + p)3He reaction 29 3.18. The interaction of tritium with helium-3 nuclei The 3He(t,d)4He, 3He(t,n + p)4He, 3He(t,p)5He and the 3He(t,n)5Li reactions 30 3.19. The 3He(t,Y)6Be reaction 30 3.20. The 3He(x,2p)4He reaction 30 3.21. The 3He(ct,Y)'Be and 3H(a,Y>7Li reactions 31 3.22. The 4He(d,Y>6Li reaction 31 Chapter 4. Cross Sections for the Interaction of Lithium Nuclei with Isotopes of Hydrogen and Helium 41 4.1. Basic Data 41 4.2. The 6Li(p,y)7Be reaction 41 4.3. The 6Li(p,n)6Be reaction 41 4.4. The 6Li(p,a)3He reaction 42 4.5. The ^Li(d,n)^Be reaction and the total cross sections for the neutron generation in the Li + d interaction 42 4.6. The 6Li(d,p)7Li reaction 42 4.7. The 6Li(d,t)5Li and 6Li(d,x)5He reactions 43 4.8. The 6Li(d,a)4He reaction 43 4.9. The cross-section for the formation of neutrons and beryllium-7 nuclei in the 6Li(t,x)n and 6Li(t,2n)7Be reactions 44 4.10. The 6Li(t,p)8Li reaction 45 4.11. The 6Li(t,d)7Li reaction 45 4.12. The 6Li(x,n)8B reaction 46 4.13. The 6Li(x,p)8Be reaction 46 4.14. The 6Li(x,d)7Be reaction 46 4.15. The 7Li(p,y)8Be reaction 47 4.16. The 7Li(p,n)7Be reaction 47 4.17. The 7Li(p,a)4He reaction 48 4.18. The cross-section for the formation of tritium in interactions of protons with lithium-7 nuclei 49 4.19. The cross-section for the formation of beryllium-7 nuclei in the 7Li(d,x)n and 7Li(d,2n)7Be reactions 49 4.20. The 7Li(d,p)8Li reaction 50 4.21. The 7Li(d,t)6Li reaction 50 4.22. Evaluation of the 7Li(t,p)9Li integral reaction cross-section 50 4.23. Evaluation of the 7Li(t,d)8Li integral reaction cross-section 51 4.24. Evaluation of the 7Li(t,a)6He partial integral cross-sections 51 4.25. Evaluation of the integral cross-section for the formation of neutrons in the interaction of tritium with lithium-7 nuclei. The 7Li(t,x)n reaction 52 4.26. The 7Li(x,n)9B reaction 52 4.27 The 7Li(x,p)9Be reaction 52 4.28. The 7Li(x,d)8Be reaction 52 4.29. The 7Li(x,t)7Be reaction 53 4.30. The 7Li(x,a)6Li reaction 53 4.31. The total integral cross-section for the formation of neutrons in the 7Li(a,n)10B reaction 53 Chapter 5. Cross-Sections for the Interaction of Isotopes of Hydrogen and Helium with Beryllium Nuclei 69 5.1. Basic data 69 5.2. The 9Be(p,Y)10B reaction 69 5.3. The 9Be(p,n)9B reaction 69 5.4. The 9Be(p,d)8Be reaction 70 5.5. The 9Be(p,a)6Li reaction 70 5.6. The 9Be(d,Y)11B reaction 71 5.7. The 9Be(d,n)l0B reaction 72 5.8. The 9Be(d,p)10Be reaction 73 9 8 9 8 5.9. The Be(d,t0) Be and Be(d,t) B 73 reactions 5.10. The 9Be(d,ct)7Li reaction 74 5.11. The 9Be(t,n)11B reaction 74 5.12. The 9Be(x,n)11C reaction 75 5.13. The 9Be(T,p)nB reaction 76 5.14. The 9Be(ct,n)12C reaction 76 Chapter 6. Characteristic Levels of Individual Nuclei 86 BIBLIOGRAPHY 89 LIST OF SYMBOLS AND ABBREVIATIONS cr(E) - integral cross-section for energy E; if not otherwise indicated in the text, the cross-section is given in millibam (mb), and the energy in MeV in the laboratory system Eyin - energy in the centre of mass system s (Epm) - S-factor in the Gamow extrapolation equation E- - energy parameter in Gamow's equation o(0,E) - differential cross-section for a given angle 0 and energy E Ex - excitation energy of the nucleus t\/2 - radionuclide half-life rm - mean lifetime of radionuclide T - resonance width for a given level in keV a,(3,Y - corresponding to alpha, beta and gamma decays c - electron capture Jff - total angular momentum J and parity (/) T - isotopic spin Te - absolute temperature in degree Kelvin k - Boltzmann constant Interactinft particles a - alpha particle p - proton T - the ^He nucleus n - neutron t - triton x - any of the outgoing particles in a d - deuteron nuclear reaction Nuclei: Reaction Products The following convention is adopted in this handbook for the designa- tion of nuclei: nnA, where A is the nucleus symbol, and nn the mass number (e.g. 7Li is the lithium-7 nucleus). Description of reactions Nuclear reactions are denoted as: nnA(particle 1,particle 2)nnB. As an example, 7Li(t,x)8Li describes the interaction of lithlum-7 with a triton, leading to the formation of lithium-8 (reaction channels are not defined). Data types EXC - excitation function, the energy dependence of a nuclear reaction AND - angular distribution DA - differential cross-section SIG - integral cross-section UND - reaction channels for a given cross-section are not given ACT - activation TTY - thick target yield 10 FOREWORD The preparation of the numerical information for this handbook has The production of a specialized handbook of evaluated nuclear data on taken more than ten years.
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