<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>/</mml:mo><mml:mover accent="true"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math> polarization and splitting induced by rotation and magnetic field
Kun Xu, Fan Lin, Anping Huang, Mei Huang
Abstract
The global polarization of $\mathrm{\ensuremath{\Lambda}}/\overline{\mathrm{\ensuremath{\Lambda}}}$ and the splitting between them induced by rotation and magnetic field has been investigated in a dynamical quark model by taking into account the axial-vector interaction and the anomalous magnetic moment of quarks. It is found that the rotation leads to the spin polarization of quarks and antiquarks with the same sign, while the magnetic field leads to the opposite sign, which corresponds to the $\overline{\mathrm{\ensuremath{\Lambda}}}\ensuremath{-}\mathrm{\ensuremath{\Lambda}}$ polarization splitting. The combination of the two effects leads to perfect agreement with experimental data. Quantitatively, the axial-vector interaction contributes 30% of the global polarization and the anomalous magnetic moment of quarks contributes 40% to the splitting of $\overline{\mathrm{\ensuremath{\Lambda}}}\ensuremath{-}\mathrm{\ensuremath{\Lambda}}$ polarization. However, at $\sqrt{{s}_{NN}}\ensuremath{\le}7.7\text{ }\text{ }\mathrm{GeV}$, it still remains a challenge to reach enough magnitude of the magnetic field at freeze-out.