Antinucleon–nucleon interaction at low energy: scattering and protonium

Abstract

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Point-particle effective field theory III: relativistic fermions and the Dirac equation

“…The leading effects of the nuclear force on antiprotons in protonium [59,60] can similarly be captured through the contact interactions of (2.3), though for protonium the existence of a relatively quick annihilation channel reduces the practical utility of using measurements of the energy shifts to learn about the nuclear interaction. But because this annihilation can also be described in the effective point-source action through the addition of imaginary parts to the effective couplings c s and c v one use for S p in this case is to compute the dependence of the annihilation rate on the principal quantum number n for S and P states.…”

Stability of few-charge systems in quantum mechanics

“…The shift, indeed, remains small, even if U(r) is an infinite hard core. The shift, in fact, is proportional not to the stronginteraction potential U, but to its scattering length a, and this shift is small as long as |a| remains small compared to the Bohr radius R. More precisely for the n-s state [200],…”

Nuclear effects in protonium formation low-energy three-body reaction: p̄ + (pμ)1s→ (p̄p)α+μ−: Strong p̄–p interaction in p̄ + (pμ)1s

“…The last circumstance is responsible for interesting resonance and quasi-bound states in Pn [11]. Therefore, Pn represents a very useful tool to study, for example, the anti-nucleon−nucleon (NN) interaction potential [12,13] and annihilation processes [14,15]. Additionally, as we already mentioned, the interplay between Coulomb and nuclear forces plays a significant role in thep and p quantum dynamics [16].…”