The Solution of X-Ray Activation Curves for Photonuclear Cross Sections

Katz, L.; Cameron, A. G. W.

doi:10.1139/p51-056

Cited by 174 publications

(31 citation statements)

References 2 publications

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“…Quadrupolaire % Tb°-s -o\ a,* (11)(12)(13)(14)(15)(16)(17)(18)(19)(20) .L' form (REV. 7-14-841 USC OMM-OC 28010-P84…”

Section: Contributionunclassified

Photonuclear data - abstract sheets 1955 - 1982 :

Fuller¹

1985

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“…Quadrupolaire % Tb°-s -o\ a,* (11)(12)(13)(14)(15)(16)(17)(18)(19)(20) .L' form (REV. 7-14-841 USC OMM-OC 28010-P84…”

Section: Contributionunclassified

Photonuclear data - abstract sheets 1955 - 1982 :

Fuller¹

1985

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“…, p, and thus in general has a unique solution and any exact method to solve (2) will give the same unique solution. Existing methods are the total spectrum method (Johns et al 1950), the photon difference method (Katz and Cameron 1951), and the modified total spectrum method of Penfold and IJeiss (1958). An iteration method is used by Carver and Lokan (1957).…”

Section: Ethmentioning

confidence: 99%

Resolution of Bremsstrahlung Experiments

Thies¹

1961

Aust. J. Phys.

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SummaryThis paper investigates how mathematical approximations and statistical errors are transmitted into computed cross sections in the analysis of experimental bremsstrahlung yield data. The resolution of bremsstrahlung experiments is defined in analogy with optical resolution and an expression for the practical evaluation of resolution is derived. Methods of cross-section computation, and smoothing and curve-fitting are discussed. ERROR INHERENT IN THE YIELD ANALYSISThe bremsstrahlung experiment measures the yield of a photonuclear reaction. The corresponding cross section is derived by a transformation calculation. This investigation is concerned with how approximations in the transformation calculation and standard errors of the original discrete set of experimental yield ordinates are propagated into the computed cross section, and how well the computed cross section portrays the true (exact) cross section. It is assumed that the bremsstrahlung spectrum is known and that experimental yield ordinates contain no other than truly statistical errors.Yield y(E Ok ) and cross section s(E) are related through the normalized bremsstrahlung distribution function P(E,E ok ) by the integral equation I EOk y(E Ok )= P(E,Eok)s(E)dE. Eth (1)EOk is the maximum energy of the speetrum, E=hv the energy of a photon interacting with a nucleus, and E th the reaction threshold. Experimental yield data are invariably given as a discrete set of yield values only and not as a continuous function. Thus the knowledge about the yield function is restricted to that of a finite number of yield ordinates, and nothing is known a priori about the behaviour of the function between these ordinates. Ei=Eoi-ttlE;, and s(Ei ); i=l, 2, .. 'J p represents a discrete set of cross-section ordinates which are to approximate ordinates S(Ei) of the exact cross section s(E). Any approximation other than

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“…This gave nCiJ b equal to 16·4 MeV. This computed cross section was compared in shape with the 63CU(Y, n) given by Katz and Cameron (1951). This experimental result was chosen because it used the smallest energy steps of any published cross section, namely 0·5 MeV.…”

Section: K2(1+1-k)(1+1+k) B(e2)=167t Qo 1(1+1)(21+3)(1+2)mentioning

confidence: 99%

The Photodisintegration of Nuclei with Z Between 9 and 30

Spicer¹

1958

Aust. J. Phys.

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SummaryIt is pointed out that the Danos-Okamoto effect (splitting of the giant resonance for non-spherical nuclei into two components) should be more readily observable in the region 9<;Z<;30 than in the rare earth region where the initial search for the effect has been made. The ratio of the energies of the two components of the split resonance depends on the deformation of the nucleus from spherical shape. Deformations are even larger in this region of atomic number than for the rare earth nuclei, whose intrinsic electric quadrupole moments are large. The predictions of the theory of Danos (1958) are shown to be verified experimentally in five cases. Five other cases where the effect should be observable are discussed.

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The Solution of X-Ray Activation Curves for Photonuclear Cross Sections

Cited by 174 publications

References 2 publications

Photonuclear data - abstract sheets 1955 - 1982 :

Photonuclear data - abstract sheets 1955 - 1982 :

Resolution of Bremsstrahlung Experiments

The Photodisintegration of Nuclei with Z Between 9 and 30

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