Deconstructing 1S0 nucleon-nucleon scattering
arXiv:1007.0540 · doi:10.1140/epja/i2010-11034-9
Abstract
A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange is then subtracted in the distorted-wave Born approximation, with matrix elements taken between scattering waves for the one-pion exchange potential. The residual short-range interaction shows a very rapid energy dependence for kinetic energies above about 100 MeV, suggesting that the breakdown scale of the corresponding effective theory is only 270MeV. This may signal the need to include the Delta resonance as an explicit degree of freedom in order to describe scattering at these energies. An alternative strategy of keeping the cutoff finite to reduce large, but finite, contributions from the long-range forces is also discussed.
10 pages, 2 figures (introduction revised, references added; version to appear in EPJA)
References in corpus (40)
- Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
- Construction of high-quality Nucleon-Nucleon potential models
- Effective Field Theory for Few-Nucleon Systems
- A New Expansion for Nucleon-Nucleon Interactions
- Two-Nucleon Systems from Effective Field Theory
- The two-nucleon system at next-to-next-to-next-to-leading order
- Chiral perturbation theory
- The Two-Nucleon Potential from Chiral Lagrangians
- Few-Nucleon Forces and Systems in Chiral Effective Field Theory
- Effective Field Theory for Short-Range Forces
- Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
- Renormalization of One-Pion Exchange and Power Counting
- Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
- NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
- Nucleon-Deuteron Scattering from an Effective Field Theory
- Power counting with one-pion exchange
- A renormalisation-group treatment of two-body scattering
- Chiral two-pion exchange and proton-proton partial-wave analysis
- Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
- Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
- Regularization, renormalization and "peratization" in effective field theory for two nucleons
- Non-perturbative regularization and renormalization: simple examples from non-relativistic quantum mechanics
- Determination of the chiral coupling constants c3 and c4 in new pp and np partial-wave analyses
- Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
- A renormalisation group approach to two-body scattering in the presence of long-range forces
- Renormalization of the Deuteron with One Pion Exchange
- Short-range interactions in an effective field theory approach for nucleon-nucleon scattering
- Low Energy Theorems For Nucleon-Nucleon Scattering
- Deconstructing triplet nucleon-nucleon scattering
- Equivalence of Nonstatic Two-Pion-Exchange Nucleon-Nucleon Potentials
- Perturbative nuclear physics
- Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
- Effective theories of scattering with an attractive inverse-square potential and the three-body problem
- Removing Pions from Two-Nucleon Effective Field Theory
- Testing Low Energy Theorems in Nucleon-Nucleon Scattering
- From Hadrons to Nuclei: Crossing the Border
- On the effectiveness of effective field theory in peripheral nucleon-nucleon scattering
- Improving the ultraviolet behavior in baryon chiral perturbation theory
- NN scattering in higher derivative formulation of baryon chiral perturbation theory
- Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering
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- Nuclear effective field theory: status and perspectives
- Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
- Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
- Chiral dynamics of few- and many-nucleon systems
- Power Counting in Peripheral Partial Waves: The Singlet Channels
- The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
- Improved convergence of chiral effective field theory for 1S0 of NN scattering
- Two-nucleon scattering: merging chiral effective field theory with dispersion relations
- The multiple-scattering series in pion-deuteron scattering and the nucleon-nucleon potential: perspectives from effective field theory
- Nucleon-nucleon interactions from dispersion relations: Elastic partial waves
- Nuclear Effective Field Theories: Reverberations of the early days
- Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
- A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
- Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
- Constructing chiral effective field theory around unnatural leading-order interactions
- Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
- Effective field theory for shallow P-wave states
- Two-pion exchange as a leading-order contribution in chiral effective field theory
- Effective short-range interaction for spin-singlet P-wave nucleon-nucleon scattering
- Low-energy theorems for neutron-proton scattering in EFT using a perturbative power counting