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High-resolution momentum distributions from low-resolution wave functions

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arxiv 2402.00634 v3 pith:E27HUHIA submitted 2024-02-01 nucl-th

classification nucl-th
keywords distributionshigh-resolutionwavefunctionsinteractionsmomentumusedabsent
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Nucleon momentum distributions calculated with a common one-body operator vary with the resolution scale (and scheme) of the Hamiltonian used. For high-resolution potentials such as Argonne $v_{18}$ (AV18) there is a high-momentum tail, reflecting short-range correlations in the nuclear wave function, which is reduced or absent for softer, lower-resolution interactions. We explore if the similarity renormalization group (SRG) can be used to quantitatively reproduce the high-resolution distributions from variational Monte Carlo at all momenta using SRG-evolved operators and empirically fit single-particle orbitals rather than a full RG evolution of many-body wave functions. The goal of this approach is to enable calculations of high-resolution distributions for a wider range of nuclei as well as for other interactions, and provides connections to phenomenological analyses of experiments.

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Cited by 1 Pith paper

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    Electron scattering measurements on nuclei from 9Be to 197Au show SRC pair formation probability increases with A but with steeper slopes across shell-structure transitions, indicating long-range shell effects on shor...

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