A simple method for estimating maximum cross sections for (α, xn)- and (p, xn)-reactions

Röhm, H.F.; Münzel, H.; Lange, J.

doi:10.1016/0029-554x(73)90484-9

Cited by 19 publications

(4 citation statements)

References 12 publications

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“…For these reactions the maximum cross sections obtained from published data [5][6][7][8][9][10] do not agree with the predictions of the systematics [1][2][3][4].…”

Section: Introductionmentioning

confidence: 54%

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Cross sections for the Reactions ⁶⁶Zn(d,n)⁶⁷Ga, ⁵²Cr(d,2n)^52gMn and 186 W (d,2n)¹⁸⁶Re

Nassiff

Münzel

1973

Radiochimica Acta

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Experimental cross sections for the reactions 66 Zn(d, n) 67 Ga, S2 Cr(d, 2n)" g Mn, and l86 W(d, 2n) 186 Re are reported. The values obtained are compared with the cross sections expected from the systematics. Zusammenfassung Es werden experimentelle Wirkungsquerschnitte für die Reaktionen 66 Zn(d, n) 67 Ga, 52 Cr(d, 2n)" g Mn und 186 W(d, 2n) 186 Re angegeben. Die erhaltenen Werte werden verglichen mit Wirkungsquerschnitten, die aufgrund einer Systematik abgeschätzt wurden. Risumi On^ourni des valeurs experimentales de sections efficaces pour les reactions b6 Zn(d, n) 67 Ga, 52 Cr(d, 2n) S2 Mnet 186 W(d, 2n) 186 Re. Les valeurs obtenues sont comparees aux sections efficaces estimees d'apres une systematique.

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“…For these reactions the maximum cross sections obtained from published data [5][6][7][8][9][10] do not agree with the predictions of the systematics [1][2][3][4].…”

Section: Introductionmentioning

confidence: 54%

“…In the publications of LANGE and MüNZEL [1] and RÖHM and MüNZEL [2][3][4] the possibility of estimating unknown excitation functions by interpolation was investigated. It was shown that in general excitation functions could be estimated quite well using a procedure developed by these authors.…”

Section: Introductionmentioning

confidence: 99%

Cross sections for the Reactions ⁶⁶Zn(d,n)⁶⁷Ga, ⁵²Cr(d,2n)^52gMn and 186 W (d,2n)¹⁸⁶Re

Nassiff

Münzel

1973

Radiochimica Acta

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“…Systematics of cross-sections has a special importance as an additional tool for the cross-section evaluation [1][2][3]. Many studies on systematics of cross-sections have been done in the literature [4][5][6][7][8][9][10][11][12][13][14][15][16]. Formulas obtained from this systematics have been used in the present study for Li and Be target nuclei irradiated with neutrons and alphas.…”

Section: Introductionmentioning

confidence: 99%

The Comparison of (n,p), (n,α), (n,2n) and (α,n) Reaction Cross-Sections for 7Li and 9Be Target Nuclei

et al. 2016

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The knowledge of the cross-section is important especially for the fusion and fission reactor technology. In the absence of experimental data or in the difficulty of measuring data, theoretical predictions of nuclear crosssection data are needed to be improved using model calculations or semi-empirical formulas and to be compared with model and formulas to obtain sensitive approaches. In this work, for 7 Li and 9 Be target nuclei used as blanket materials in fusion reactors, (n,p), (n,a), (n,2n) and (a,n) reaction cross-section data have been evaluated by using some available empirical and semi-empirical cross-section formulas. The (n,p), (n,a), (n,2n) and (a,n) reaction crosssection formulas developed for medium and heavy mass nuclei by some scientist in literature are applied to 7 Li and 9 Be light nuclei and then results obtained from any systematics are compared with each other and the existing experimental data.

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“…Therefore, one has often to rely on calculated or estimated cross section values. For p-, d-, 3 H-and 4 He-reactions a procedure was developed [2,3] which enables the estimation of unknown excitation functions without using a computer. For this procedure the shape and the position of the excitation function are characterized by several quantities, like the maximum cross section a max and the projectile energy E max at which this maximum occurs.…”

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confidence: 99%

Systematics of the Maximum Cross Section for (³He, 2n)-Reactions

Μisaelides

Münzel

1978

Radiochimica Acta

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New curves for the dependency of the height and position of the maximum cross sections for the ( 3 He, 2n)-reactions on a parameter κ including the nuclear properties of the target nucleus and projectile were established by means of experimental data. The dependency curves were compared with values obtained using a hybrid model calculation.The correlation between the characteristic quantities and κ was obtained by plotting values derived from experimentally determined excitation functions versus the corresponding κ. The shape of these dependencies can be predicted fairly well for reactions with Q-values well above the Coulomb barrier encountered by the projectile. In these cases one can draw the dependency unambiguously even if only few experimentally determined data are available for the adjustment of the curve in respect to height and position. Excitation functions for charged particle induced reactions are needed by the users of accelerators for planning irradiations or for the evaluation of their measurements. About 1800 experimentally determined excitation functions are given in a compilation published in 1973 [1 ]. However, this number is quite small compared to the possible target-projectile-product nucleus combinations. Therefore, one has often to rely on calculated or estimated cross section values. For p-, d-, 3 H-and 4 He-reactions a procedure was developed [2,3] which enables the estimation of unknown excitation functions without using a computer. For this procedure the shape and the position of the excitation function are characterized by several quantities, like the maximum cross section a max and the projectile energy E max at which this maximum occurs. Unknown excitation functions can then be constructed with reasonable accuracy if values for these characteristic quantities are known for the reaction. These values are correlated with a parameter κ, which depends on the properties of the target nucleus. The parameter κ was derived from the Weißkopf-Ewing-evaporation equation by introducing several simplifications. B p and B n = proton and neutron binding energy, respectively E c = Coulpml? barrier for protons a = "level density parameter E* m = excitation energy of the compound nucleus at the position of the maximum cross section δ = pairing correction term For numerical values of κ see [3],Fig. 1. Dependence of the position of the maximum cross section (iTmax -£Vhr) for C He · 2n)-reactions on the parameter κ. Ejfo·. Threshold energy. Δ : Experimental data used for the establishment of the dependency (ref. 1). Experimental data appeared after the publication of the systematics (ref. 4, 5, 6). ·: Calculated values obtained using a hybrid model calculation (ref. 7). -: Dependency curve after ref. 3. : New dependency curve Present address:

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A simple method for estimating maximum cross sections for (α, xn)- and (p, xn)-reactions

Cited by 19 publications

References 12 publications

Cross sections for the Reactions ⁶⁶Zn(d,n)⁶⁷Ga, ⁵²Cr(d,2n)^52gMn and 186 W (d,2n)¹⁸⁶Re

Cross sections for the Reactions ⁶⁶Zn(d,n)⁶⁷Ga, ⁵²Cr(d,2n)^52gMn and 186 W (d,2n)¹⁸⁶Re

The Comparison of (n,p), (n,α), (n,2n) and (α,n) Reaction Cross-Sections for 7Li and 9Be Target Nuclei

Systematics of the Maximum Cross Section for (³He, 2n)-Reactions

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A simple method for estimating maximum cross sections for (α, xn)- and (p, xn)-reactions

Cited by 19 publications

References 12 publications

Cross sections for the Reactions 66Zn(d,n)67Ga, 52Cr(d,2n)52gMn and 186 W (d,2n)186Re

Cross sections for the Reactions 66Zn(d,n)67Ga, 52Cr(d,2n)52gMn and 186 W (d,2n)186Re

The Comparison of (n,p), (n,α), (n,2n) and (α,n) Reaction Cross-Sections for 7Li and 9Be Target Nuclei

Systematics of the Maximum Cross Section for (3He, 2n)-Reactions

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Cross sections for the Reactions ⁶⁶Zn(d,n)⁶⁷Ga, ⁵²Cr(d,2n)^52gMn and 186 W (d,2n)¹⁸⁶Re

Cross sections for the Reactions ⁶⁶Zn(d,n)⁶⁷Ga, ⁵²Cr(d,2n)^52gMn and 186 W (d,2n)¹⁸⁶Re

Systematics of the Maximum Cross Section for (³He, 2n)-Reactions