$pp\to pp{\pi }^0$ near threshold in pionless effective theory

Abstract

The total cross section of the $pp\to pp{\pi }^0$ reaction near threshold is calculated in pionless effective field theory with a di-baryon and external pions. The amplitudes for a leading one-body and subleading contact neutral pion production vertex are obtained including the initial and final state interactions. After estimating a low-energy constant in the contact vertex, we compare our results for the total cross section with the experimental data.

15 pages, 7 figures; 6 references added, minor revision

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Cited by in corpus (10)

• Modern Theory of Nuclear Forces
• alpha-alpha Scattering in Halo Effective Field Theory
• Low-Energy Universality in Atomic and Nuclear Physics
• Proton-proton fusion in pionless effective theory
• Elastic $\alpha$-${}^{12}$C scattering at low energies in cluster effective field theory
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the bound states of ${}^{16}$O in effective field theory
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in cluster effective field theory
• A generalization of the Becker model in linear viscoelasticity: Creep, relaxation and internal friction
• Cluster effective field theory and nuclear reactions
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the sharp resonant $0_3^{+}$ state of ${}^{16}$O