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Implications of Large-$N_c$ QCD for the NN Interaction

Thomas R. RichardsonMatthias R. SchindlerRoxanne P. Springer
Dec 2022
摘要
We present a method for ordering two-nucleon interactions based upon theirscaling with the number of QCD colors, $N_c$, in the limit that $N_c$ becomeslarge. Available data in the two-nucleon sector shows general agreement withthis ordering, indicating that the method may be useful in other contexts wheredata is less readily available. However, several caveats and potential pitfallscan make the large-$N_c$ ordering fragile and/or vulnerable tomisinterpretation. We discuss the application of the large-$N_c$ analysis totwo- and three-nucleon interactions, including those originating from weak andbeyond-the-standard-model interactions, as well as two-nucleon externalcurrents. Finally, we discuss some open questions in the field.
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