Trend in (n, d) cross-sections for 14–15 MeV

doi:10.1016/0168-583X(93)96046-F

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Volume 73, Issue 1, January 1993, Pages 5-8

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Abstract

Neutron-induced (n, d) reactions as well as the reaction cross-sections around 14–15 MeV neutron energy with medium and heavy nuclei are reviewed for the interval 12⩽ Z ⩽ 70. An empirical equation has been found by using the experimental (n, d) cross-section values for 14–15 MeV as a function of (N−Z) and (E_n−E_th), where (N−Z) is the neutron excess of th nucleus, and E_n and E_th are the incident neutron energy and the (n, d) threshold energy, respectively. This empirical equation works very well for a quick estimation of the (n, d) cross-sections. The present predictions of cross-sections show good agreement with experimental values.

References (27)

R.N. Glover et al.
Nucl. Phys.
(1962)
L.R. Greenwood et al.
Phys. Rev.
(1987)
D. Hermdorf
INDC (NDS)-173/GI
(1985)
G. Clayeux et al.
CEA-R-3807
(1969)
D. Miljanic
INDC (GDR)-34/GI
(1985)
R. Pepelnik
GKSS 88/E/8
(1988)
CINDA 81 (1977–1981)
(1981)
CINDA 89 (1982–1989)
(1989)
CINDA 90 (1988–1990)
(1990)
CINDA 91 (1988–1991)
(1991)
S.M. Grimes et al.
Phys. Rev.
(1978)
G. Chursin et al.
Nucl. Phys.
(1967)
E.T. Bramlitt et al.
Phys. Rev.
(1963)

Lu Wen-deh et al.

Phys. Rev.

(1971)

R. Pepelnik et al.

NEANDC(E)-262U

(1985)

M. Avrigeanu et al.

INDC (NDS)-247

(1991)

Cited by (6)

Simple parametrization of (n,d) cross sections using Flerov and Talyzin's formula
2023, Applied Radiation and Isotopes
This article aims at providing new cross section data from empirical formulas for the (n,d) reactions of which experimental measurements at 14–15 MeV energy are not available or limited. If the experimental data for a nuclear reaction at a given energy are scarce, theoretical calculations and also developing empirical formulas have a critical importance. Here, we propose a new empirical formula of (n,d) reactions for analysis of the relationship between the experimental data and the parameters of empirical formula. The present formula was obtained by using the non-elastic Flerov and Talyzin expression to calculate (n,d) cross sections at 14–15 MeV. Due to the good overall agreement with the measured cross sections, our empirical formula with polynomial fitting model including asymmetry parameter can be useful in planning new experiments of (n,d) reactions for energies around 14 MeV.
New semi-empirical formulae for (n,d) cross sections at 14–15 MeV
2021, Applied Radiation and Isotopes
The aim of this letter is to suggest new semi-empirical formulae for the prediction of (n,d) cross sections with a neutron energy of 14–15 MeV. In this context, the cross sections are calculated using systematic that is function only of the reaction $Q$ -value and mass number $A$ . The (n,d) reactions are analyzed by using the systematics based on the statistical theory. Thus, the present semi-empirical formulae compared with the cross section data in literature give a good fit for the prediction of the (n,d) cross sections at 14–15 MeV.
Review of (n,3n) reaction cross-sections for fast neutrons and its dependence on the neutron excess term
1996, Annals of Nuclear Energy
The available information on the (n,3n) reaction, as well as the neutron cross-sections for the neutron energies from 23 to 29 MeV are reviewed for the interval of 27 ⩽ Z ⩽ 83. For practical purposes, an empirical expression has been found by using the experimental (n,3n) cross-section values as a function of (N-Z) and $(E_{u} + Q_{n})^{12}$ where (N-Z) is the neutron excess of the target nucleus, E_u and Q_n are the incident neutron energy and the (n,3n) reaction energy, respectively. It is seen that the empirical relation gives good fits with the experimental values.
Energy levels of light nuclei A = 18-19
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Trends in (n, 2p) cross-sections around 14 MeV
1993, Nuclear Inst. and Methods in Physics Research, B
The available relevant experimental data on the neutron-induced (n, 2p) reactions, as well as the reaction cross-sections around 14 MeV neutron energy are reviewed for the interval of 11 ≤ Z ≤ 65. A new empirical expression for the (n, 2p) reaction cross-sections has been obtained by fitting the experimental values as a function of (N − Z) and (E_n − E_th) $12$ , where (N − Z) is the neutron excess of the target nucleus, E_n and E_th are the incident neutron energy and the (n, 2p) threshold energy, respectively. It is seen that the empirical relation gives good fits with the experimental values.
Prediction of (n, 3He) Cross-Sections Around 14 MeV
1995, IEEE Transactions on Nuclear Science

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Trend in (n, d) cross-sections for 14–15 MeV

Abstract

Nucl. Phys.

Phys. Rev.

INDC (NDS)-173/GI

CEA-R-3807

INDC (GDR)-34/GI

GKSS 88/E/8

CINDA 81 (1977–1981)

CINDA 89 (1982–1989)

CINDA 90 (1988–1990)

CINDA 91 (1988–1991)

Phys. Rev.

Nucl. Phys.

Phys. Rev.

Phys. Rev.

NEANDC(E)-262U

INDC (NDS)-247