Abundant strange sea quarks in the nucleon and flavor asymmetry of the light sea quarks in the octet baryon at small x

By regularizing the sum rules from the current anti-commutation relation on the null plane, we first explain the relation between the high-energy behavior of the total cross section of pseudo-scalar-nucleon scattering and the small-x limit of the structure function image in lepton–nucleon scattering. Then, by assuming that the ratio of the total cross section of pion–nucleon scattering to that of kaon–nucleon scattering in the high-energy region is kept within the high-energy limit, we show that, in the very-small-x region in the nucleon, the strange sea quark becomes more abundant than the up and the down sea quarks. Further, we find that the regularization-independent finite sum rules that originate from the spontaneous chiral symmetry breaking of the vacuum take similar values as those where the sea quarks take symmetric values in the very-small-x region. We apply the method to the sea quarks of the octet baryon and give many similar sum rules as in the nucleon case; we also give the asymmetry of the sea quarks in the very-small-x region.