In-medium meson properties and field transformations
arXiv:nucl-th/0303066 · doi:10.1103/PhysRevC.68.044001
Abstract
Since the existing calculations of the effective meson mass in nuclear medium involve approximations, it is important to examine whether they satisfy the general requirement of the equivalence theorem that the physical observables should be independent of the choice of field variables. We study here consequences of nucleon field transformations. As an illustrative case we consider the in-medium effective pion mass calculated for the s-wave pion-nucleon interaction in the linear density approximation. We demonstrate that it is necessary to include the Born term explicitly in order that the effective pion mass should obey the equivalence theorem.
10 pages, using RevTeX4. More detailed discussion, references added. To be published in Phys. Rev. C
References in corpus (22)
- Chiral Dynamics in Nucleons and Nuclei
- On the Foundations of Chiral Perturbation Theory
- Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation
- Low energy analysis of pi N --> pi N
- An Effective Chiral Lagrangian Approach to Kaon-Nuclear Interactions: Kaonic atom and kaon condensation
- In-medium chiral perturbation theory beyond the mean-field approximation
- Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths
- S-wave Meson-Nucleon Interactions and the Meson Mass in Nuclear Matter from Chiral Effective Lagrangians
- Kaon Energies in Dense Matter
- Systematic calculation of s-wave pion and kaon self-energies in asymmetric nuclear matter
- Effective Kaon Mass in Baryonic Matter and Kaon Condensation
- Negative Kaons in Dense Baryonic Matter
- Field transformations and simple models illustrating the impossibility of measuring off-shell effects
- Field Redefinitions at Finite Density
- Compton Scattering by a Pion and off--Shell Effects
- Off-shell effects and consistency of many-body treatments of dense matter
- Meson Condensation in Dense Matter Revisited
- In-Medium Effective Pion Mass from Heavy-Baryon Chiral Perturbation Theory
- Sidewise dispersion relations and the structure of the nucleon vertex
- Kaonic modes in hyperonic matter and p-wave kaon condensation
- The equivalence theorem and the Bethe-Salpeter equation
- Lagrangian with off-shell vertices and field redefinitions
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- S-wave pion condensation in symmetric nuclear matter
- Gauge symmetric delta(1232) couplings and the radiative muon capture in hydrogen
- Density resummation of perturbation series in a pion gas to leading order in chiral perturbation theory