Pion-mass dependence of three-nucleon observables |
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Authors: | H -W Hammer D R Phillips L Platter |
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Institution: | 1.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie),Universit?t Bonn,Bonn,Germany;2.Department of Physics and Astronomy,Ohio University,Athens,USA |
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Abstract: | We use an effective field theory (EFT) which contains only short-range interactions to study the dependence of a variety of
three-nucleon observables on the pion mass. The pion-mass dependence of input quantities in our “pionless” EFT is obtained
from a recent chiral EFT calculation. To the order we work at, these quantities are the 1
S
0 scattering length and effective range, the deuteron binding energy, the 3
S
1 effective range, and the binding energy of one three-nucleon bound state. The chiral EFT input we use has the inverse 3
S
1 and 1
S
0 scattering lengths vanishing at m
π
crit = 197.8577 MeV. At this “critical” pion mass, the triton has infinitely many excited states with an accumulation point at
the three-nucleon threshold. We compute the binding energies of these states up to next-to-next-to-leading order in the pionless
EFT and study the convergence pattern of the EFT in the vicinity of the critical pion mass. Furthermore, we use the pionless
EFT to predict how doublet and quartet nd scattering lengths depend on m
π in the region between the physical pion mass and m
π = m
π
crit . |
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Keywords: | 12 38 Aw General properties of QCD (dynamics confinement etc ) 21 45 +v Few-body systems 11 10 Hi Renormalization group evolution of parameters |
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