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Further Reading — Chapter 18
Textbooks
Core References
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Krane, K.S. Introductory Nuclear Physics (Wiley, 1988), Chapter 11 (Nuclear Reactions) and Chapter 12 (Neutron Physics). The standard upper-division treatment, with clear derivations of the Breit-Wigner formula and its applications. Chapters 11.7–11.9 cover the compound nucleus model and resonances at the level assumed in this chapter.
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Blatt, J.M. and Weisskopf, V.F. Theoretical Nuclear Physics (Wiley, 1952; reprinted Dover, 1991). The classic graduate-level reference. Chapter VIII derives the Breit-Wigner formula rigorously from the R-matrix formalism. Chapter IX covers the statistical model. Dense but authoritative.
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Satchler, G.R. Introduction to Nuclear Reactions, 2nd ed. (Oxford University Press, 1990). An excellent graduate-level treatment of reaction theory, including compound nuclear reactions (Chapter 4), the optical model (Chapter 3), and direct reactions (Chapter 5). More modern than Blatt-Weisskopf, with better notation.
Advanced and Specialized
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Feshbach, H. Theoretical Nuclear Physics: Nuclear Reactions (Wiley, 1992). The definitive theoretical treatment by one of the architects of the optical model and the Hauser-Feshbach model. Chapters 3–5 cover the compound nucleus in full generality. For serious graduate students and researchers.
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Thompson, I.J. and Nunes, F.M. Nuclear Reactions for Astrophysics (Cambridge University Press, 2009). Specifically oriented toward nuclear astrophysics applications. Covers compound nuclear reactions, level densities, and Hauser-Feshbach calculations as inputs to nucleosynthesis models.
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Iliadis, C. Nuclear Physics of Stars, 2nd ed. (Wiley-VCH, 2015). The best modern textbook on nuclear astrophysics. Chapters 2 (nuclear reactions) and 4 (resonances) cover the compound nucleus model with explicit astrophysical applications. Chapter 5 treats the $s$-process and $r$-process in detail.
Nuclear Data Resources
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Atlas of Neutron Resonances — Mughabghab, S.F. (Elsevier, 6th ed., 2018). The standard compilation of neutron resonance parameters for all stable and many radioactive nuclei. Contains evaluated $E_R$, $\Gamma_n$, $\Gamma_\gamma$, $\Gamma_f$, $J^\pi$, and statistical averages. An indispensable reference for anyone working with neutron cross sections.
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ENDF/B-VIII.0 — The U.S. Evaluated Nuclear Data File, maintained by the National Nuclear Data Center (NNDC) at Brookhaven National Laboratory. Available at https://www.nndc.bnl.gov/endf/. The recommended evaluated nuclear data library for the United States, containing complete cross sections, resonance parameters, and angular distributions for hundreds of isotopes.
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JEFF-3.3 — The Joint Evaluated Fission and Fusion File, maintained by the NEA Data Bank (OECD). The European counterpart to ENDF/B.
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JENDL-5 — The Japanese Evaluated Nuclear Data Library. Released 2021 by JAEA.
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TALYS — Koning, A.J., Hilaire, S., and Duijvestijn, M.C. A Hauser-Feshbach model code for calculating nuclear reaction cross sections. Freely available at https://tendl.web.psi.ch/tendl_2021/talys.html. Includes built-in level density models, optical model potentials, and gamma-ray strength functions.
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KADoNiS (Karlsruhe Astrophysical Database of Nucleosynthesis in Stars) — Dillmann, I. et al. A database of Maxwellian-averaged neutron capture cross sections for $s$-process calculations. Available at https://kadonis.org/.
Key Papers
Foundational
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Bohr, N. "Neutron Capture and Nuclear Constitution," Nature 137, 344–348 (1936). The original paper introducing the compound nucleus model. Short, elegant, and remarkably clear. Bohr's billiard-ball analogy appears here.
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Breit, G. and Wigner, E. "Capture of Slow Neutrons," Physical Review 49, 519–531 (1936). The derivation of the Breit-Wigner resonance formula. A landmark of theoretical nuclear physics, published the same year as Bohr's compound nucleus paper.
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Hauser, W. and Feshbach, H. "The Inelastic Scattering of Neutrons," Physical Review 87, 366–373 (1952). The paper that introduced the statistical model for compound nuclear reactions. The Hauser-Feshbach model remains the standard computational tool for nuclear reaction cross sections.
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Bethe, H.A. "An Attempt to Calculate the Number of Energy Levels of a Heavy Nucleus," Physical Review 50, 332–341 (1936). The Fermi gas level density formula derived here. Another 1936 paper — a remarkable year for nuclear theory.
Experimental and Data
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Ghoshal, S.N. "An Experimental Verification of the Theory of Compound Nucleus," Physical Review 80, 939–942 (1950). The classic test of the Bohr independence hypothesis using ${}^{64}$Zn$^*$ formed by p + ${}^{63}$Cu and $\alpha$ + ${}^{60}$Ni.
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Porter, C.E. and Thomas, R.G. "Fluctuations of Nuclear Reaction Widths," Physical Review 104, 483–491 (1956). The derivation of the Porter-Thomas distribution for reduced neutron widths. A key paper connecting nuclear physics to random matrix theory.
Astrophysics
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Burbidge, E.M., Burbidge, G.R., Fowler, W.A., and Hoyle, F. "Synthesis of the Elements in Stars," Reviews of Modern Physics 29, 547–650 (1957). The famous B$^2$FH paper — the founding document of nuclear astrophysics. Sections on the $s$-process and $r$-process remain essential reading.
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Kasen, D., Metzger, B., Barnes, J., Quataert, E., and Ramirez-Ruiz, E. "Origin of the Heavy Elements in Binary Neutron-Star Mergers from a Gravitational-Wave Event," Nature 551, 80–84 (2017). One of the key papers interpreting the kilonova from GW170817 in terms of $r$-process nucleosynthesis.
Review Articles
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Weidenmuller, H.A. and Mitchell, G.E. "Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions," Reviews of Modern Physics 81, 539–589 (2009). A comprehensive review connecting random matrix theory to compound nuclear reactions, resonance statistics, and Ericson fluctuations.
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Rauscher, T. and Thielemann, F.-K. "Astrophysical Reaction Rates From Statistical Model Calculations," Atomic Data and Nuclear Data Tables 75, 1–351 (2000). A large-scale Hauser-Feshbach calculation providing reaction rates for thousands of nuclei relevant to astrophysics.
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Cowan, J.J., Sneden, C., Lawler, J.E., et al. "Origin of the Heaviest Elements: The Rapid Neutron-Capture Process," Reviews of Modern Physics 93, 015002 (2021). The most comprehensive recent review of the $r$-process, covering nuclear physics inputs, astrophysical sites, and observational constraints.