The Scattering Lengths of the Deuteron

Hurst, D. G.; Alcock, Norman

doi:10.1103/physrev.80.117.2

Cited by 6 publications

(4 citation statements)

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“…With these overlapping datasets, the ν(q) dispersion relation was plotted for the [ζ00], [ζζ0], and [ζζζ] directions. The data showed that the phonon intensities were largest near the reciprocal lattice points varying such as kT/ν 2 at relatively high temperatures, as given by Equations (11) and (12).…”

Section: Figurementioning

confidence: 91%

“…Two accounts of measurements of the neutron scattering lengths of the two spin states of the deuteron were given [11,12] in 1950 and 1951, and in this case, the interest was on the impact on the theory of nuclear forces rather than the atomic physics of the molecule. First, 1.063 Å neutrons from the NRX reactor were selected by reflection from the (100) planes of NaCl and were scattered by D2 molecules at 30 atmospheres and 77.4 • K and counted in a BF3 counter.…”

Section: Nuclear Physics and The Consequences For Inelastic Scatteringmentioning

confidence: 99%

“…For the [001] and [111] directions, where the polarization vectors for both atoms are in the same direction, the structure factor, g j (q, τ), which is a generalization of (Q.U j ) 2 in Equation (11), may be written for the four branches visible in the (110) (15) where U 1j is the scalar magnitude of the polarization vector for the k = 1 atom in the unit cell. The structure factors calculated from the Hsieh [28] approximation to the force constants showed where in the reciprocal lattice the LA, TA, LO, and TO modes were most intense.…”

Section: Lattice Dynamics Of Germanium Silicon and Diamondmentioning

confidence: 99%

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The First Two Decades of Neutron Scattering at the Chalk River Laboratories

Holden

2021

QuBS

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The early advances in neutron scattering at the Chalk River Laboratories of Atomic Energy of Canada are recorded. From initial nuclear physics measurements at the National Research Experimental (NRX) reactor came the realization that, with the flux available and improvements in monochromator technology, direct measurements of the normal modes of vibrations of solids and the structure and dynamics of liquids would be feasible. With further flux increases at the National Research Universal (NRU) reactor, the development of the triple-axis crystal spectrometer, and the invention of the constant-Q technique, the fields of lattice dynamics and magnetism and their interpretation in terms of the long-range forces between atoms and exchange interactions between spins took a major step forward. Experiments were performed over a seven-year period on simple metals such as potassium, complex metals such as lead, transition metals, semiconductors, and alkali halides. These were analyzed in terms of the atomic forces and demonstrated the long-range nature of the forces. The first measurements of spin wave excitations, in magnetite and in the 3D metal alloy CoFe, also came in this period. The first numerical estimates of the superfluid fraction of liquid helium II came from extensive measurements of the phonon–roton and multiphonon parts of the inelastic scattering. After the first two decades, neutron experiments continued at Chalk River until the shut-down of the NRU reactor in 2018 and the disbanding of the neutron effort in 2019, seventy years after the first experiments.

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Section: Figurementioning

confidence: 91%

Section: Nuclear Physics and The Consequences For Inelastic Scatteringmentioning

confidence: 99%

Section: Lattice Dynamics Of Germanium Silicon and Diamondmentioning

confidence: 99%

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The First Two Decades of Neutron Scattering at the Chalk River Laboratories

Holden

2021

QuBS

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“…The form of the curve is suggested by the statistical expression 30 for the level density a=l/D=Cexp{(bAE)>} (9) where E is the excitation energy of the nucleus. Assuming that here the average E~ 7 Mev, the curve of Fig.…”

Section: Application To Heavier Nucleimentioning

confidence: 99%

Neutron Scattering Lengths

Peaslee

1952

Phys. Rev.

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The schematic treatment of nuclear reactions is applied to the case E n -»0 as a means of interpreting measurements of the scattering length a. It is found that the quantity A = (a-R) rather than a is significant for determining the resonance properties of the compound nucleus, where R is the phenomenological nuclear radius. In some cases this treatment can resolve ambiguity in the evaluation of a without the necessity of polarization measurements and assign the / value of a low-lying resonance or two, but it can only be used successfully for separated isotopes. For practically pure isotopes it can be used to determine rough values of level spacing D from the measured position of the levels nearest E n -Q, or conversely. Values of D obtained in this way are plotted against A to yield an estimate of a parameter in the statistical formula for level density; this estimate suggests a somewhat more rapid increase in level spacing with decreasing excitation than given by the simplest statistical formula.

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The Collisions of Deuterons With Nucleons

Massey¹

2013

Progress in Nuclear Physics

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The Scattering Lengths of the Deuteron

Cited by 6 publications

References 6 publications

The First Two Decades of Neutron Scattering at the Chalk River Laboratories

The First Two Decades of Neutron Scattering at the Chalk River Laboratories

Neutron Scattering Lengths

The Collisions of Deuterons With Nucleons

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