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- W4239606412 startingPage "1920" @default.
- W4239606412 abstract "We discuss how to study the relativistic bound states of fermions and antifermions; the purpose is to identify these bound states as the observed hadrons. We express the strong Hamiltonian as the sum of ${H}_{mathrm{bound}}$ and ${H}_{mathrm{decay}}$, where the eigenstates of ${H}_{mathrm{bound}}$ are the observed hadrons and ${H}_{mathrm{decay}}$ is responsible for their strong decays. We derive ${H}_{mathrm{bound}}$ and ${H}_{mathrm{decay}}$ by means of a canonical transformation which amounts to eliminating gluons in the underlying theory in which underlying fermions are interacting universally with a neutral vector gluon and also a neutral axial-vector gluon, both of which are assumed to be quite heavy. We find that ${H}_{mathrm{bound}}$ consists of an invariant direct four-fermion interaction without any derivative of the fermion field, and ${H}_{mathrm{decay}}$ is also of the form of a direct four-fermion interaction with, however, derivatives of the fermion field. We show that ${H}_{mathrm{decay}}$ is also effectively invariant and satisfies the Okubo-Zweig-Iizuka rule automatically. We show also how we solve for the two-body and three-body eigenstates of ${H}_{mathrm{bound}}$. We show in particular that the eigenstate which consists of $p$, $overline{n}$, and $ensuremath{Lambda}$ appears very much like the observed $ensuremath{Sigma}$, where $p$, $n$, and $ensuremath{Lambda}$ are the underlying fermions with the quantum numbers of the observed $p$, $n$, and $ensuremath{Lambda}$." @default.
- W4239606412 created "2022-05-12" @default.
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- W4239606412 date "1981-10-01" @default.
- W4239606412 modified "2023-09-26" @default.
- W4239606412 title "Relativistic bound states of fermions and antifermions. I" @default.
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- W4239606412 doi "https://doi.org/10.1103/physrevd.24.1920" @default.
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