Low-energy theorems for nucleon-nucleon scattering at $M_{\pi }=450$ MeV

Abstract

We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of $M_{\pi }\simeq 450$ MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and dineutron are inconsistent with the low-energy behavior of the corresponding phase shifts within the quoted uncertainties and vice versa. Using the binding energies of the deuteron and dineutron as input, we employ the low-energy theorems to predict the phase shifts and extract the scattering length and the effective range in the ${}^3{S}_1$ and ${}^1{S}_0$ channels. Our results for these quantities are consistent with those obtained by the NPLQCD collaboration from effective field theory analyses but are in conflict with their determination based on the effective-range approximation.

References in corpus (8)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Dependence of nuclear binding on hadronic mass variation
• Quark mass variation constraints from Big Bang nucleosynthesis
• Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses
• Anthropic considerations in nuclear physics
• Binding energy of the $X(3872)$ at unphysical pion masses
• Supersymmetric inversion of effective-range expansions

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• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Scattering of decuplet baryons in chiral effective field theory
• Producing the Deuteron in Stars: Anthropic Limits on Fundamental Constants
• Scattering of charmed baryons on nucleons
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Pion-mass dependence of the nucleon-nucleon interaction
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• Subleading contributions to the nuclear scalar isoscalar currents
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• High-precision nuclear forces from chiral EFT: State-of-the-art, challenges and outlook
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
• Improved Constraints on the Variation of the Weak Scale from Big Bang Nucleosynthesis