NDLI: Intrinsic operators for the translationally-invariant many-body problem

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Intrinsic operators for the translationally-invariant many-body problem

Content Provider	Scilit
Author	Caprio, Mark A. McCoy, Anna E. Fasano, Patrick James
Copyright Year	2020
Description	Journal: Journal of Physics G: Nuclear and Particle Physics The need to enforce fermionic antisymmetry in the nuclear many-body problem commonly requires use of single-particle coordinates, defined relative to some fixed origin. To obtain physical operators which nonetheless act on the nuclear many-body system in a Galilean-invariant fashion, thereby avoiding spurious center-of-mass contributions to observables, it is necessary to express these operators with respect to the translational intrinsic frame. Several commonly-encountered operators in nuclear many-body calculations, including the magnetic dipole and electric quadrupole operators (in the impulse approximation) and generators of U(3) and Sp ( 3 , R ) symmetry groups, are bilinear in the coordinates and momenta of the nucleons and, when expressed in intrinsic form, become two-body operators. To work with such operators in a second-quantized many-body calculation, it is necessary to relate three distinct forms: the defining intrinsic-frame expression, an explicitly two-body expression in terms of two-particle relative coordinates, and a decomposition into one-body and separable two-body parts. We establish the relations between these forms, for general (non-scalar and non-isoscalar) operators bilinear in coordinates and momenta.
Related Links	https://iopscience.iop.org/article/10.1088/1361-6471/ab9d38/pdf
ISSN	09543899
e-ISSN	13616471
DOI	10.1088/1361-6471/ab9d38
Journal	Journal of Physics G: Nuclear and Particle Physics
Issue Number	12
Volume Number	47
Language	English
Publisher	IOP Publishing
Publisher Date	2020-06-16
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics G: Nuclear and Particle Physics Nuclear Physics
Content Type	Text
Resource Type	Article
Subject	Nuclear and High Energy Physics

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