6533b7d5fe1ef96bd1263e90
RESEARCH PRODUCT
Description of light nuclei in pionless effective field theory using the stochastic variational method
Michael C. BirseNiels R. WaletVadim Lenskysubject
Mass numberPhysicsNuclear Theory010308 nuclear & particles physicsGaussianBinding energyOrder (ring theory)FOS: Physical sciencesCharge (physics)01 natural sciencesNuclear Theory (nucl-th)symbols.namesakeVariational methodQuantum electrodynamics0103 physical sciencesEffective field theorysymbolsElectric potential010306 general physicsMathematical physicsdescription
We construct a coordinate-space potential based on pionless effective field theory with a Gaussian regulator. Charge-symmetry breaking is included through the Coulomb potential and through two- and three-body contact interactions. Starting with the effective field theory potential, we apply the stochastic variational method to determine the ground states of nuclei with mass number $A\leq 4$. At next-to-next-to-leading order, two out of three independent three-body parameters can be fitted to the three-body binding energies. To fix the remaining one, we look for a simultaneous description of the binding energy of $^4$He and the charge radii of $^3$He and $^4$He. We show that at the order considered we can find an acceptable solution, within the uncertainty of the expansion. We find that the EFT expansion shows good agreement with empirical data within the estimated uncertainty, even for a system as dense as $^4$He.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-09-20 |