@article{4654a6a397884fa49315ade8b06512ef,
title = "Spin-isospin polarizability of nuclear matter and renormalization of weak currents",
abstract = "We present a systematic scheme for renormalization of weak and electromagnetic currents due to spin-isospin correlations in a nuclear medium at arbitrary frequency omega; and momentum transfer k. It is shown that knowledge of the many-body renormalization of the Gamow-Teller operator, σiτλeiqx, in terms of a spin-isospin polarization tensor is sufficient to determine the renormalization of all types of spin-isospin operators. Illustrations will be given for kinematic conditions encountered in nuclear muon capture.",
author = "Mukhopadhyay, {Nimai C.} and H. Toki and W. Weise",
note = "Funding Information: Investigation of possible renormalization effects \[1-5\] in nuclear weak and electromagnetic processes is of considerable topical interest, as it severely tests our understanding of the hadronic correlations in nuclei without involving complications for the primary reaction, in contrast to mesonic and baryonic probes. For the semi-leptonic weak reactions, most studies focus on the axial-vector and pseudoscalar terms, at energy and momentum transfers small compared to the pion mass. While this is appropriate for nuclear beta decay, the energy transfer is a continuous function ranging up to the muon mass in the case of nuclear muon absorption. Thus, even though the conventional approaches to treat hadronic correlations can be made to handle the context of relatively large energy transfer, this complexity is simply ignored in the current literature. Below we discuss the problem in infinite nuclear matter for arbitrary four-momentum transfer relevant, for example, in the case of muon absorption. We study the response of a nuclear medium to an external spin-isospin field of the Gamow-Teller type Work supported in part by Deutsche Forschungsgemeinschaft under contract We 655/4.",
year = "1979",
month = jun,
day = "4",
doi = "10.1016/0370-2693(79)90643-9",
language = "English",
volume = "84",
pages = "35--40",
journal = "Physics Letters B",
issn = "0370-2693",
publisher = "Elsevier B.V.",
number = "1",
}