# Antiproton-proton partial-wave analysis below 925 MeV/[ital c]

## Abstract

A partial-wave analysis of all [ital [bar p]p] scattering data below 925 MeV/[ital c] antiproton laboratory momentum is presented. The method used is adapted from the Nijmegen phase-shift analyses of [ital pp] and [ital np] scattering data. We solve the Schroedinger equation for the coupled [ital [bar p]p] and [ital [bar n]n] channels where the long- and intermediate-range interactions are described by a theoretically well-founded potential. This gives the rapid variations of the scattering amplitudes with energy. This potential consists of the Coulomb potential with the main relativistic correction, the magnetic-moment interaction, the one-pion-exchange potential, and the heavy-boson exchanges of the Nijmegen one-boson-exchange potential. Slow variations of the amplitudes due to short-range interactions, including the coupling to mesonic annihilation channels, are parametrized by an energy-dependent, complex boundary condition, specified at a radius of [ital r]=1.3 fm. The Nijmegen 1993 [ital [bar p]p] database, consisting of 3646 [ital [bar p]p] scattering data, is presented and discussed. The best fit to this database results in [chi][sub min][sup 2]/[ital N][sub data]=1.043. This good fit to the data shows that the Nijmegen long- and intermediate-range potential is essentially correct. The pseudovector coupling constant of the charged pion to nucleons is determined to be [italmore »

- Authors:

- (Institute for Theoretical Physics, University of Nijmegen, Nijmegen (Netherlands))

- Publication Date:

- OSTI Identifier:
- 7103788

- Alternate Identifier(s):
- OSTI ID: 7103788

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, C (Nuclear Physics); (United States)

- Additional Journal Information:
- Journal Volume: 50:1; Journal ID: ISSN 0556-2813

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NEUTRON-ANTINEUTRON INTERACTIONS; PARTIAL WAVES; PROTON-ANTIPROTON INTERACTIONS; ANTINEUTRON REACTIONS; ANTIPROTON REACTIONS; COUPLING CONSTANTS; OBE MODEL; OPE MODEL; PHASE SHIFT; POTENTIALS; PSEUDOVECTOR COUPLING; SCATTERING AMPLITUDES; SCHROEDINGER EQUATION; AMPLITUDES; ANTINUCLEON REACTIONS; BARYON REACTIONS; BARYON-BARYON INTERACTIONS; BOSON-EXCHANGE MODELS; COUPLING; DIFFERENTIAL EQUATIONS; EQUATIONS; HADRON REACTIONS; HADRON-HADRON INTERACTIONS; INTERACTIONS; MATHEMATICAL MODELS; NUCLEAR REACTIONS; NUCLEON REACTIONS; NUCLEON-ANTINUCLEON INTERACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; PERIPHERAL MODELS; WAVE EQUATIONS 663430* -- Nucleon-Induced Reactions & Scattering-- (1992-); 662130 -- General Theory of Particles & Fields-- S-Matrix Theory, Relativistic Scattering Theory-- (1992-); 663300 -- Nuclear Reactions & Scattering, General-- (1992-); 662340 -- Hadron Interactions-- (1992-)

### Citation Formats

```
Timmermans, R., Rijken, T.A., and de Swart, J.J.
```*Antiproton-proton partial-wave analysis below 925 MeV/[ital c]*. United States: N. p., 1994.
Web. doi:10.1103/PhysRevC.50.48.

```
Timmermans, R., Rijken, T.A., & de Swart, J.J.
```*Antiproton-proton partial-wave analysis below 925 MeV/[ital c]*. United States. doi:10.1103/PhysRevC.50.48.

```
Timmermans, R., Rijken, T.A., and de Swart, J.J. Fri .
"Antiproton-proton partial-wave analysis below 925 MeV/[ital c]". United States. doi:10.1103/PhysRevC.50.48.
```

```
@article{osti_7103788,
```

title = {Antiproton-proton partial-wave analysis below 925 MeV/[ital c]},

author = {Timmermans, R. and Rijken, T.A. and de Swart, J.J.},

abstractNote = {A partial-wave analysis of all [ital [bar p]p] scattering data below 925 MeV/[ital c] antiproton laboratory momentum is presented. The method used is adapted from the Nijmegen phase-shift analyses of [ital pp] and [ital np] scattering data. We solve the Schroedinger equation for the coupled [ital [bar p]p] and [ital [bar n]n] channels where the long- and intermediate-range interactions are described by a theoretically well-founded potential. This gives the rapid variations of the scattering amplitudes with energy. This potential consists of the Coulomb potential with the main relativistic correction, the magnetic-moment interaction, the one-pion-exchange potential, and the heavy-boson exchanges of the Nijmegen one-boson-exchange potential. Slow variations of the amplitudes due to short-range interactions, including the coupling to mesonic annihilation channels, are parametrized by an energy-dependent, complex boundary condition, specified at a radius of [ital r]=1.3 fm. The Nijmegen 1993 [ital [bar p]p] database, consisting of 3646 [ital [bar p]p] scattering data, is presented and discussed. The best fit to this database results in [chi][sub min][sup 2]/[ital N][sub data]=1.043. This good fit to the data shows that the Nijmegen long- and intermediate-range potential is essentially correct. The pseudovector coupling constant of the charged pion to nucleons is determined to be [ital f][sub [ital c]][sup 2]=0.0732(11) at the pion pole, where the error is statistical.},

doi = {10.1103/PhysRevC.50.48},

journal = {Physical Review, C (Nuclear Physics); (United States)},

issn = {0556-2813},

number = ,

volume = 50:1,

place = {United States},

year = {1994},

month = {7}

}