One loop corrections to quantum hadrodynamics with vector mesons
- Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)
The renormalized elastic {pi}{pi} scattering amplitude to one loop is calculated in the chiral limit in the {sigma} model and in a quantum hadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III reduces to the linear {sigma} model in the limit that the vector meson masses become large. The pion decay constant is also calculated to 1-loop in the {sigma} model, and at tree level in QHD-III; it is shown that the coefficient of the tree level term in the scattering amplitude equals F{sub {pi}}{sup {minus}2}. The 1-loop correction of F{sub {pi}} in QHD-III violates strong isospin current conservation. Thus, it is concluded that QHD-III can, at best, only describe the strongly interacting nuclear sector. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 641696
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 58; ISSN PRVCAN; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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