The Quark-Mass Dependence of Two-Nucleon Systems

Details The Quark-Mass Dependence of Two-Nucleon Systems The Quark-Mass Dependence of Two-Nucleon Systems

2002-08-12

arxiv.org/abs/nucl-th/0208021v2

Nucl.Phys. A717 (2003) 91-103

Physics

Nuclear Physics

Nuclear Theory

12 pages LaTeX, 6 ps figs, comments added

Scientific paper

10.1016/S0375-9474(02)01586-5

We explore the quark-mass dependence of two-nucleon systems. Allowed regions for the scattering lengths in the 1S0 and 3S1 channels as functions of the light-quark masses are determined from the current uncertainty in strong-interaction parameters that appear at next-to-leading order in the effective field theory. Where experimental constraints are absent, as is the case for the quark-mass dependent four-nucleon operators, we use naive dimensional analysis. We find it likely that there is no bound state in the 1S0 channel in the chiral limit. However, given the present uncertainties in strong-interaction parameters it is unclear whether the deuteron is bound or unbound in the chiral limit.

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