Publication: Varying the light quark mass: Impact on the nuclear force and big bang nucleosynthesis
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2013-04-10
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Amer Physical Soc
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Abstract
The quark mass dependences of light-element binding energies and nuclear scattering lengths are derived using chiral perturbation theory in combination with nonperturbative methods. In particular, we present new, improved values for the quark mass dependence of meson resonances that enter the nuclear force. A detailed analysis of the theoretical uncertainties arising in this determination is presented. As an application, we derive from a comparison of observed and calculated primordial deuterium and helium abundances a stringent limit on the variation of the light quark mass, δm_q/mq = 0:02 ± 0.04. Inclusion of the neutron lifetime modification, under the assumption of a variation of the Higgs vacuum expectation value that translates into changing quark, electron, and weak gauge boson masses, leads to a stronger limit |δm_q|< 0.009.
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© 2013 American Physical Society.
C. H. acknowledges the hospitality and the funding by UNSW, where a part of this work was carried out. J. N. acknowledges funding by Fundación Ramón Areces. This work is supported in part by Spanish Research Contracts No. FPA2007-29115-E/, No. FPA2011-27853-C02-02, and No. FPA2008-05287-E/FPA ‘‘Quark Masses and Hadron Physics (From Quarks to Life),’’ by the Australian Research Council, by the DFG and the NSFC through funds provided to the Sino-German CRC 110 ‘‘Symmetries and the Emergence of Structure in QCD,’’ by the HGF through funds provided to the Nuclear Astrophysics Virtual Institute (NAVI; VH-VI-417), by the BMBF (06BN9006), and by the EU via ERC Project No. 259218 NuclearEFT and the EU FP7 HadronPhysics3 project.
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