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Nuclear reaction threshold energy. The cross section is typically denoted s and measured in units of area m 2. The cross section is a measure of the probability for a particular reaction to occur. Nuclear cross sections are used in determining the nuclear reaction rate and are governed by the reaction rate equation for a particular set of particles usually viewed as a beam and target thought experiment where one particle or nucleus is the target typically at rest and the other is treated as a beam projectile with a given energy.
The standard unit for measuring a nuclear cross section is the barn which is equal to 10 28 m2 or 10 24 cm2. The reaction cross section is much greater than the physical cross section of the nucleus. We calculate nuclear cross sections on excited nuclei in the fast neutron energy range.
Compound nuclear reaction cross sections via surrogate measurements. From this dierential cross section alternative integrated forms my be found. The cross section dierential in angles only so bf b.
Basic nuclear physics 3 nuclear cross sections and reaction rates j fluxpercm2 nv total area of target nuclei per cm3n i s i j reaction rate per cm3 assuming no blocking nvn i s j i 1 cm2 the reaction rate for the two reactants i and j as in eg i jk l is then. This cross section may be measured in the laboratory comparison between theoretical prediction and measurement is used to evaluate the significance of the underlying theory. The third form is favored by some authors not me because of its brevity.
The quantitative measure of this prediction is the cross section of the process. Nuclear reactions dw b sino bdo bdf b. The cross section is not in general equal to the actual area of the nucleus.
N i n js ij v which has units reactions cm 3 s 1 it is more. This quantity s which has the dimension of area is measured by the experimental ratio s number of reaction particles emitted number of beam particles per unit areanumber of target nuclei within the beam. However its use is common and i wanted to familiarize you with it.
In nuclear physics the nuclear cross section of a nucleus is commonly used to characterize the probability that a nuclear reaction will occur. The direct reaction part and the compound nuclear. Nuclear transformation to occur depends on the energy of the neutron and the nature of the target nucleus and is referred to as the neutron capture cross section of the isotope leading to a specified nuclear reaction.