Nuclear EMC effect through $\overline{\mathrm{\Lambda }}/\mathrm{\Lambda }$ production in semi-inclusive deep-inelastic scattering processes

We calculate $\mathrm{\Lambda }$ and $\overline{\mathrm{\Lambda }}$ hadron production cross sections in charged lepton semi-inclusive deep-inelastic scattering off nuclear target ($A$, using iron $\mathrm{Fe}$ as an example) and deuteron ($D$) target. The results show that the ratio $({\overline{\mathrm{\Lambda }}}^A/{\mathrm{\Lambda }}^A)/({\overline{\mathrm{\Lambda }}}^D/{\mathrm{\Lambda }}^D)$ is sensitive to the sea quark content of the nucleus. We adopt three different models to take the nuclear EMC effect into account. The ratio $({\overline{\mathrm{\Lambda }}}^A/{\mathrm{\Lambda }}^A)/({\overline{\mathrm{\Lambda }}}^D/{\mathrm{\Lambda }}^D)$ is predicted to be different by these different models.

Figure 1

The results of $F_2^A/F_2^D$ at $Q^2=5{\mathrm{GeV}}^2$. The solid-black, dashed-red, and dotted-blue lines are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe.

Figure 2

The results of ${\overline{u}}^A/{\overline{u}}^D$. The solid-black, dashed-red, and dotted-blue lines are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe.

Figure 3

The results of ${\overline{s}}^A/{\overline{s}}^D$. The solid-black, dashed-red, and dotted-blue lines are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe.

Figure 4

The results of ${\mathrm{\Lambda }}^A/{\mathrm{\Lambda }}^D$ at $Q^2=5{\mathrm{GeV}}^2$. The solid-black, dashed-red, and dotted-blue curves are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe. These three figures show different fragmentation function cases.

Figure 5

The results of ${\overline{\mathrm{\Lambda }}}^A/{\overline{\mathrm{\Lambda }}}^D$ at $Q^2=5{\mathrm{GeV}}^2$. The solid-black, dashed-red, and dotted-blue curves are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe. These three figures show different fragmentation function cases.

Figure 6

The results of $({\overline{\mathrm{\Lambda }}}^A/{\mathrm{\Lambda }}^A)/({\overline{\mathrm{\Lambda }}}^D/{\mathrm{\Lambda }}^D)$ at $Q^2=5{\mathrm{GeV}}^2$. The solid-black, dashed-red, and dotted-blue curves are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe. These three figures show different fragmentation function cases.

Figure 7

The results of ${({\mathrm{\Lambda }}^A/{\mathrm{\Lambda }}^D)}^{\mathrm{AKK}}$ at $Q^2=5{\mathrm{GeV}}^2$ considering the AKK [49] modification. The solid-black, dashed-red, and dotted-blue curves are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe. These three figures show different fragmentation function cases.

Figure 8

The results of ${({\overline{\mathrm{\Lambda }}}^A/{\overline{\mathrm{\Lambda }}}^D)}^{\mathrm{AKK}}$ at $Q^2=5{\mathrm{GeV}}^2$ considering the AKK [49] modification. The solid-black, dashed-red, and dotted-blue curves are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe. These three figures show different fragmentation function cases.

Figure 9

The results of ${\left[({\overline{\mathrm{\Lambda }}}^A/{\mathrm{\Lambda }}^A)/({\overline{\mathrm{\Lambda }}}^D/{\mathrm{\Lambda }}^D)\right]}^{\mathrm{AKK}}$ at $Q^2=5{\mathrm{GeV}}^2$ considering the AKK [49] modification. The solid-black, dashed-red, and dotted-blue curves are the results of the pion excess model, the quark-cluster model, and the rescaling model. The nucleus $A$ is Fe. These three figures show different fragmentation function cases.