Theory of deep inelastic neutron scattering: Hard-core perturbation theory
- 1 August 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (4) , 2283-2296
- https://doi.org/10.1103/physrevb.38.2283
Abstract
Details are presented of a new many-body theory for deep inelastic neutron scattering (DINS) experiments to measure momentum distributions in quantum fluids and solids. The high-momentum and energy-transfer scattering law in helium is shown to be a convolution of the impulse approximation with a final-state broadening function which depends on the scattering phase shifts and the radial distribution function. The predicted broadening satisfies approximate Y scaling, is neither Lorentzian nor Gaussian, and obeys the f, , and sum rules. The derivation uses a combination of Liouville perturbation theory, projection superoperators, and semiclassical methods which I term ‘‘hard-core perturbation theory.’’ A review is presented of the predictions of prior theories for DINS experiments in relation to the present work. A subsequent paper will present massive numerical predictions and a discussion of DINS experiments on superfluid .
Keywords
This publication has 41 references indexed in Scilit:
- Theory of deep inelastic neutron scattering on quantum fluidsPhysical Review B, 1988
- Accurate momentum distributions from computations on 3He and 4HeCanadian Journal of Physics, 1987
- The momentum distribution of normal and superfluid liquid 4HeCanadian Journal of Physics, 1987
- yscaling in electron-nucleus scatteringPhysical Review Letters, 1987
- Simulation of quantum many-body systems by path-integral methodsPhysical Review B, 1984
- Nuclear High-Momentum Components andScaling in Electron ScatteringPhysical Review Letters, 1980
- Test of a scaling law for quasi-elastic electron scatteringPhysical Review C, 1979
- Density matrix and momentum distribution of helium liquids and nuclear matterPhysical Review B, 1977
- Electron scattering from atoms, nuclei and nucleonsPhysics Reports, 1975
- High-Energy Neutron Scattering from LiquidPhysical Review B, 1966