Impact of the MARATHON data on \texorpdfstring{$F_{2n}/F_{2p}$}{F2n/F2p} and off-shell effects in light nuclei

Abstract

The neutron structure function, $F_{2n}$, has historically been extracted from measurements of the deuteron structure function, but our understanding of the nuclear effects on the bound proton and neutron limits the extraction of $F_{2n}$. The MARATHON collaboration recently extracted $F_{2n}$ from the comparison of $^3$H and $^3$He targets, where the nuclear effects are larger but nearly identical, yielding a precise extraction of $F_{2n}/F_{2p}$. This precise extraction can then be compared to deuteron extractions, providing important constraints on the nuclear effects in the deuteron. To ensure that this comparison is not biased by the specific model of nuclear effects used by MARATHON, we examine a range of models of the nuclear effects to obtain a more conservative, but more model-independent, extraction of $F_{2n}/F_{2p}$ for comparison with deuteron extractions. Even with the more conservative approach, the comparison suggests the need for significant off-shell corrections or other nuclear effects, beyond those include in most calculations, even for the weakly-bound deuteron.