On the Quark Mass Dependence of Two Nucleon Observables

Abstract

We study the implications of lattice QCD determinations of the S-wave nucleon-nucleon scattering lengths at unphysical light quark masses. It is found that with the help of nuclear effective field theory (NEFT), not only the quark mass dependence of the effective range parameters, but also the leading quark mass dependence of all the low energy deuteron matrix elements can be obtained. The quark mass dependence of deuteron charge radius, magnetic moment, polarizability and the deuteron photodisintegration cross section are shown based on the NPLQCD lattice calculation of the scattering lengths at 354 MeV pion mass and the NEFT power counting scheme of Beane, Kaplan and Vuorinen. Further improvement can be obtained by performing the lattice calculation at smaller quark masses. Our result can be used to constrain the time variation of isoscalar combination of u and d quark mass m_q, to help the anthropic principle study to find the m_q range which allows the existence of life, and to provide a weak test of the multiverse conjecture.

18 pages, 5 figures

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Cited by in corpus (17)

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• Composite strongly interacting dark matter
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Effective Field Theory for Lattice Nuclei
• Viability of carbon-based life as a function of the light quark mass
• Life at the Interface of Particle Physics and String Theory
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Dependence of the triple-alpha process on the fundamental constants of nature
• Dark atoms and composite dark matter
• Maximally self-interacting dark matter: models and predictions
• Low-energy theorems for nucleon-nucleon scattering at $M_{\pi }=450$ MeV
• On the quark mass dependence of nucleon-nucleon S-wave scattering lengths
• Pion-mass dependence of the nucleon-nucleon interaction
• Subleading contributions to the nuclear scalar isoscalar currents
• Matching effective few-nucleon theories to QCD