Multistep processes in nuclear reactions

Recent applications of the theory of Feshbach, Kerman and Koonin to analyse multistep processes in nuclear reactions are described, and illustrated by detailed comparisons with a range of experimental data for neutron and proton reactions. The techniques used to distinguish between the multistep direct, multistep compound, compound and collective contributions to the cross-sections are described, and their effectiveness assessed. Particular attention is devoted to recent analyses that take into account the transitions from the multistep direct to the multistep compound chain and also to those that evaluate the collective contributions to the continuum region. The variation of the effective nucleonnucleon interaction with incident energy and target nucleus is studied, and the possibility of a parameter-free calculation is discussed. The extensions of the theory to include multiparticle emission from the direct chain and also to studies of alpha-particle emission are described.

[1]  P. Hodgson The optical model of elastic scattering , 1963 .

[2]  L. Colombo,et al.  Two body residual interaction in the statistical multistep compound and direct theories , 1983 .

[3]  A. Gallmann,et al.  Analyse des reactions 25Mg(p,p)25Mg et 24Mg(d,p)25Mg à 5 et à 6 MeV , 1966 .

[4]  M. Trabandt,et al.  Preequilibrium neutron emission in the reactions Zr-90, Pb-208 (p, xn) with 80 MeV projectiles , 1989 .

[5]  Jacobus J. M. Verbaarschot,et al.  Statistical theory of precompound reactions: The multistep compound process , 1986 .

[6]  H. Feshbach Energy averaging and the statistical multistep direct process , 1985 .

[7]  M. Matoba,et al.  Comment on application of statistical multi-step direct emission theory to a neutron-emitting reaction , 1984 .

[8]  Peter Edward Hodgson,et al.  Compound nucleus reactions , 1987 .

[9]  S. N. Ghoshal An Experimental Verification of the Theory of Compound Nucleus , 1950 .

[10]  Herman Feshbach,et al.  The statistical theory of multi-step compound and direct reactions , 1980 .

[11]  L. Milazzo,et al.  Statistical multistep compound emission in the /sup 27/Al(/sup 3/He,p)/sup 29/Si reaction , 1980 .

[12]  M. Trabandt,et al.  Precompound emission in the reaction 65Cu(p, xn) and the nucleon-nucleon scattering mechanism , 1985 .

[13]  B. Buck CALCULATION OF ELASTIC AND INELASTIC PROTON SCATTERING WITH A GENERALIZED OPTICAL MODEL , 1963 .

[14]  N. Bohr Neutron Capture and Nuclear Constitution , 1936, Nature.

[15]  T. Udagawa,et al.  Multistep direct reaction analysis of analyzing powers of continuum spectra in (p,α) reactions , 1981 .

[16]  L. Milazzo,et al.  Statistical multistep direct emission in the 120Sn(p, n) reaction , 1980 .

[17]  L. Milazzo,et al.  Fluctuations due to statistical multistep compound emission in the /sup 25/Mg(/sup 3/He,p) and /sup 25/Mg(/sup 3/He,. cap alpha. ) reactions , 1982 .

[18]  H. Weidenmüller,et al.  The statistical theory of nuclear reactions for strongly overlapping resonances as a theory of transport phenomena , 1975 .

[19]  R. Haight,et al.  Charged-particle emission in reactions of 15-MeV neutrons with /sup 89/Y, /sup 90/Zr, and /sup 92,94,95,96/Mo , 1981 .

[20]  K. Seth,et al.  A study of the 40Ca(d, p)41Ca reaction. (I). The single-particle states , 1970 .

[21]  J. Griffin,et al.  Statistical Model of Intermediate Structure , 1966 .

[22]  Kalka,et al.  Statistical multistep reactions: Application. , 1989, Physical review. C, Nuclear physics.

[23]  L. Milazzo,et al.  Analysis of precompound processes in ( p,n) reactions with the statistical multistep direct emission theory , 1981 .

[24]  Herman Feshbach,et al.  The Inelastic Scattering of Neutrons , 1952 .

[25]  Watanabe,et al.  Preequilibrium (p,p') spectra for nuclei around neutron number 50. , 1987, Physical review. C, Nuclear physics.

[26]  A. Marcinkowski,et al.  Neutron emission cross sections on 184W at 11.5 and 26 MeV and the neutron-nucleus scattering mechanism☆ , 1989 .

[27]  P. Hodgson,et al.  Pre-equilibrium processes in the reactions of neutrons on 59Co and 93Nb , 1986 .

[28]  E. Gadioli,et al.  Study of the27Al(d, α)25Mg and27Al(d, p)28al nuclear reactions at 2 MeV deuteron energy , 1965 .

[29]  T. Udagawa,et al.  Multistep direct reaction analysis of continuum spectra in reactions induced by light ions , 1982 .

[30]  H. Weidenmüller,et al.  Statistical theory of precompound reactions: The multistep direct process , 1988 .

[31]  George F. Bertsch,et al.  Direct Nuclear Reactions , 1984 .

[32]  Krause,et al.  Pairing effects and multistep direct and compound emission in the 92-100Mo(p,xn) reactions. , 1986, Physical review. C, Nuclear physics.

[33]  D. R. Dean,et al.  Nearside-farside analyses of heavy-ion direct reactions to the continuum , 1984 .

[34]  H. Bethe Theory of Disintegration of Nuclei by Neutrons , 1935 .

[35]  M. Melanotte,et al.  Calculation of the lifetime of the multistep compound process in the reaction27Al(3He, p) , 1981 .

[36]  L. Milazzo,et al.  Interpretation of some (p,n), (n,p), and (/sup 3/He, p) reactions by means of the statistical multistep compound emission theory , 1983 .

[37]  T. Udagawa,et al.  Direct reaction analysis of continuum spectra and polarizations in the 48Ti(16O, 16O′) reaction , 1983 .

[38]  W. Witsch,et al.  Direct and compound nuclear reaction mechanisms in 26Mg(p, p)26Mg , 1968 .

[39]  L. Milazzo,et al.  Analyzing powers in the /sup 58/Ni(p,p') reaction calculated with the statistical multistep direct emission theory , 1982 .

[40]  B. Berne,et al.  Attainment of Statistical Equilibrium in Excited Nuclei , 1968 .

[41]  F. C. Williams Particle-hole state density in the uniform spacing model , 1971 .

[42]  C. Goodman The (p,n) Reaction and the Nucleon-Nucleon Force , 1980 .