R. Navarro Perez

Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold

Using the delta-shell representation we present a successful fit to neutron-proton and proton-proton scattering data below pion production threshold. A detailed overview of the theory necessary to calculate observables with this potential is presented. A new data selection process is used to obtain the largest mutually consistent data base. The analysis includes data within the years 1950 to 2013. Using 46 parameters we obtain chi^2/Ndata = 1.04 with Ndata = 6713 including normalization data. Phase shifts with error bars are provided.

Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including Δ’s

In this study, we construct a coordinate-space chiral potential, including Δ-isobar intermediate states in its two-pion-exchange component up to order Q3 (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q2 and Q4, respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constant multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0–300 MeV. For the total 5291

Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold

pp

Statistical error analysis for phenomenological nucleon-nucleon potentials

and

Coarse grained NN potential with Chiral Two Pion Exchange

np

Error analysis of nuclear forces and effective interactions

data in this range, we obtain a Χ2 /datum of roughly 1.3 for a set of three models characterized by long- and short-range cutoffs, RL and RS respectively, ranging from (RL,RS)=(1.2,0.8) fm down to (0.8,0.6) fm. The long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.

Effective Interactions in the Delta-Shells Potential

We undertake a simultaneous partial wave analysis of proton-proton and neutron-proton scattering data below the pion production threshold up to laboratory energies of

Coarse graining Nuclear Interactions

350\phantom{\rule{4.pt}{0ex}}\text{MeV}

Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants

. We represent the interaction as a sum of

Bootstrapping the statistical uncertainties of NN scattering data

\ensuremath{\delta}