Covariant spectator theory of np scattering: Effective range expansions and relativistic deuteron wave functions

Abstract

We present the effective range expansions for the 1S_0 and 3S_1 scattering phase shifts, and the relativistic deuteron wave functions that accompany our recent high precision fits (with chi^2/N{data} approx 1) to the 2007 world np data below 350 MeV. The wave functions are expanded in a series of analytical functions (with the correct asymptotic behavior at both large and small arguments) that can be Fourier-transformed from momentum to coordinate space and are convenient to use in any application. A fortran subroutine to compute these wave functions can be obtained from the authors.

32 pages, 14 figures

References in corpus (1)

• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV

Cited by in corpus (38)

• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Global parton distributions with nuclear and finite-Q^2 corrections
• Uncertainties in determining parton distributions at large x
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• Parton momentum and helicity distributions in the nucleon
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks
• Stylized features of single-nucleon momentum distributions
• Nuclear Effects in the Deuteron and Constraints on the d/u Ratio
• Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
• Molecular picture for $X_0(2900)$ and $X_1(2900)$
• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
• Isovector EMC effect from global QCD analysis with MARATHON data
• Impact of PDF uncertainties at large x on heavy boson production
• Constraints on the large-x d/u ratio from electron-nucleus scattering at x>1
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
• Do short-range correlations cause the nuclear EMC effect in the deuteron?
• Hadronic molecular states from the $K{\bar{K}}^{\ast }$ interaction
• The Octet Meson and Octet Baryon Interaction with strangeness and the $\Lambda (1405)$
• Covariant Spectator Theory of heavy-light and heavy mesons and the predictive power of covariant interaction kernels
• Deep-inelastic and quasielastic electron scattering from $A=3$ nuclei
• Hidden-strange molecular states and the $N\varphi$ bound state via a QCD van der Waals force
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Covariant Spectator Theory of $np$ scattering: Deuteron form factors
• Possible molecular states from the $N\Delta$ interaction
• Covariant Spectator Theory of np scattering: Isoscalar interaction currents
• Systematic uncertainties from higher-twist corrections in DIS at large x
• Covariant Spectator Theory of np scattering: Deuteron magnetic moment and form factors
• Covariant Spectator Theory of np scattering: Deuteron Quadrupole Moment
• Deuteron form factors in a phenomenological approach
• Deuteron electromagnetic form factors in transverse plane with a phenomenological Lagrangian approach
• Measurements of Non-Singlet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for $Q^2=4$ $\mathrm{Ge}{\mathrm{V}}^2$
• Removal of singularities from the covariant spectator theory
• Inclusive and Exclusive Scatterings from Tensor Polarized Deuteron
• Modifications of Nucleons in Nuclei
• $\Xi$(2030) and $\Xi$(2120) as ${\bar{K}}^{\ast }\Sigma$ molecular states
• QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering