The Slowing Down of Neutrons in Hydrogeneous Mixtures

Amster, Harvey J.

doi:10.13182/nse65-a21045

Cited by 11 publications

(3 citation statements)

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“…The effective-mass parameter is the real root of a transformed version of the transcendental equation of the slowing-down equation (Sengupta andSrikantiah 1973, Marshak 1947). This root has been obtained previously-approximately by Placzek (1 946), Dresner (1960) and Amster (1965) and exactly, more recently, by Sengupta and Srikantiah (1973). The exact root can be obtained for all absorptions and moderator masses.…”

Section: Introductionsupporting

confidence: 72%

Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces

Bukhvalov¹

1983

Russ. Math. Surv.

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A new concept of an effective mass in the slowing down of fast neutrons is introduced. This concept, by accounting for absorption in an increased effective mass, places scattering in the presence of absorption on a formally equivalent basis with pure scattering. Thus absorption in slowing-down theory need not be considered as a separate phenomenon, but only as a generalized form of pure scattering.For a mixture, the effective mass includes the effect of absorption in an effective single element. A model of the moderation process is considered which allows a description of the mixture by the simpler single-element equations.

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Section: Introductionsupporting

confidence: 72%

Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces

Bukhvalov¹

1983

Russ. Math. Surv.

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Section: Introductionsupporting

confidence: 72%

An effective-mass treatment of neutron slowing down

Sengupta

1975

J. Phys. D: Appl. Phys.

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A new concept of an effective mass in the slowing down of fast neutrons is introduced. This concept, by accounting for absorption in an increased effective mass, places scattering in the presence of absorption on a formally equivalent basis with pure scattering. Thus absorption in slowing-down theory need not be considered as a separate phenomenon, but only as a generalized form of pure scattering. For a mixture, the effective mass includes the effect of absorption in an effective single element. A model of the moderation process is considered which allows a description of the mixture by the simpler single-element equations.

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“…We will first apply the following restrictions: (1) No absorption during moderation, (2) monochromatic neutron source, (3) s-wave scattering in the center-of-mass system, and (4) diffusion approximation. Under these assumptions, the N} 0 's are given as follows, …”

Section: Casesmentioning

confidence: 99%

Contribution of Heavier Nucleus on Neutron Slowing Down in Hydrogenous Mixture, (II)

Tanaka¹,

MORI²

1967

Journal of Nuclear Science and Technology

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The consistent method of solving the coupled slowing down equations developed in the previous paper was extended to a study of the second spacial moment of neutron slowing down in a hydrogenous mixture. The duonucleic sys:em constituted by a mixture of hydrogen and non-hydrogen nuclei was treated analytically by application of the G.G.A. and Fermi approximations to the latter nucleus.Applying the G.G.A. approximation, an interference effect of scattering due to the respective nuclei appeared in the quantities concerning the first and the last flight of neutrons, and it is shown that, when the mass of the non-hydrogen nucleus becomes infinitely large, our general expression coincides with the result obtained by Volkin.Numerical calculations were performed to compare the different methods proposed in the past.

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The Slowing Down of Neutrons in Hydrogeneous Mixtures

Cited by 11 publications

References 0 publications

Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces

Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces

An effective-mass treatment of neutron slowing down

Contribution of Heavier Nucleus on Neutron Slowing Down in Hydrogenous Mixture, (II)

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The Slowing Down of Neutrons in Hydrogeneous Mixtures

Cited by 11 publications

References 0 publications

Application of methods of the theory of order-bounded operators to the theory of operators inLp-spaces

Application of methods of the theory of order-bounded operators to the theory of operators inLp-spaces

An effective-mass treatment of neutron slowing down

Contribution of Heavier Nucleus on Neutron Slowing Down in Hydrogenous Mixture, (II)

Contact Info

Product

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Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces

Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces