A model-independent minimum in short-range production rates of dimer-spectator systems allows precise mass extraction for near-threshold states via a fixed relation to the observed dip position.
Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order
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abstract
We introduce a new technique to calculate perturbative corrections to neutron-deuteron ($nd$) scattering that does not require calculation of the full off-shell scattering amplitude. Its relation to the more familiar partial-resummation technique is explained. Also included is a calculation of the SD-mixing term that occurs at next-to-next-to-leading-order (NNLO) in pionless effective field theory $\mathrm{EFT}_{\not{\pi}}$\xspace. Using the new technique with the SD-mixing term a complete strictly perturbative phase-shift analysis of $nd$ scattering is performed up to NNLO including eigen-phases and mixing angles. This is compared to potential model calculations and good agreement is found with the eigen-phases and some of the mixing angles at low energies.
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Leading-order predictions for three-body point production rates of B and B* meson systems are derived in short-range NREFT from two-body input alone.
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).
Non-perturbative Coulomb corrections in LO pionless EFT give a 0.85(3) MeV He-3/H-3 binding split, 0.043(2) fm charge-radius shift, 0.036(2) fm magnetic-radius shift, and -0.0041(1) μ_N moment shift.
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Model-independent mass determination of near-threshold states from short-range production
A model-independent minimum in short-range production rates of dimer-spectator systems allows precise mass extraction for near-threshold states via a fixed relation to the observed dip position.
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Short-range production of three bottom mesons
Leading-order predictions for three-body point production rates of B and B* meson systems are derived in short-range NREFT from two-body input alone.