Dressing two nucleons at the same time

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.25· OSTI ID:6279846

Kvinikhidze, A N ^[1]; Blankleider, B ^[2]

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1. Mathematical Institute of Georgian Academy of Sciences, Z. Rukhadze 1, 380093 Tbilisi (Georgia)
2. Institut fuer Physik, University of Basel, CH-4056 Basel (Switzerland) Paul Scherrer Institute, CH-5232 Villigen PSI (Switzerland)

At intermediate energies, the interaction of two nucleons with pions is often described in terms of nonrelativistic time-ordered perturbation theory. The field theory is usually further simplified by restricting the Hilbert space to states having some maximum number of pions. One outstanding difficulty with such approaches is an inconsistent treatment of the dressed two-nucleon propagator. In the [ital NN][minus][pi][ital NN] model, for example, states can have at mos t one pion, so that only one of the nucleons is allowed to undergo dressing at any one time. Thus each nucleon cannot obtain its full dressing and this leads to problems of wave function normalization. We have found a way to dress both nucleons at the same time, where each nucleon retains its full dressing. The method, involving a convolution integral, determines the full two-nucleon dressed propagator in a practical but exact way. Numerical calculations have been performed using a model of the [pi][ital N] interaction in the one-pion approximation. We find a significant difference between the fully dressed two-nucleon propagator and the different-time propagator as used in [ital NN]-[pi][ital NN] models.

• OSTI ID: 6279846
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 48:1; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEONS
NUMERICAL ANALYSIS
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
PIONS
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
THREE-BODY PROBLEM