Effective range corrections from effective field theory with di-baryon fields and perturbative pions

Abstract

Contributions of perturbative pions around a non-trivial fixed point are studied by utilizing di-baryon fields. We calculate ${}^1{S}_0$ and ${}^3{S}_1$ phase shifts for the $np$ scattering at low energies up to one-pion-exchange contributions. We also calculate effective range parameters, $v_2$, $v_3$ and $v_4$ in the higher order of the effective range expansion, and obtain corrections of the effective range to the expressions previously reported by Cohen and Hansen. After the scattering length and the effective range are renormalized, we study the role of renormailzation scale parameter $\mu$ and discuss the range of validity of the theory.

18 pages, 14 figures, 1 table, to be published in Physical Review C

References in corpus (5)

• Chiral effective field theory and nuclear forces
• Chiral Perturbation Theory and Baryon Properties
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• More on the infrared renormalization group limit cycle in QCD
• Taking dibaryon fields seriously

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• Cluster effective field theory and nuclear reactions
• Neutrino-Deuteron Reactions at Solar Neutrino Energies in Pionless Effective Field Theory with Dibaryon Fields
• Hypernuclei in Halo/Cluster Effective Field Theory
• The Born series for $S$-wave quartet $nd$ scattering at small cutoff values
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
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• Effective theory with dibaryons and perturbative pions