A CRITICAL-STUDY OF EFFECTIVE LAGRANGIAN MODELS FOR LOW-ENERGY PION-NUCLEON SCATTERING

被引:9
作者
BOFINGER, D
WOOLCOCK, WS
机构
[1] Department of Theoretical Physics, Research School of Physical Sciences, The Australian National University, Canberra, 2601, ACT
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS | 1991年 / 104卷 / 10期
关键词
D O I
10.1007/BF02817432
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
An effective Lagrangian model of pion-nucleon scattering up to a laboratory pion kinetic energy of 250 MeV is presented, which includes N(939), N(1440) and DELTA(1232) exchange and t-channel exchanges. Unitarity is enforced on our amplitudes using three different Methods, and for the DELTA(1232) resonance we use both the standard propagator and a proposed alternative one. We also consider the effect of imposing constraints; from dispersion theory on our model. Although it is possible to obtain a reasonably good description of pion-nucleon scattering in this manner, we find that the ambiguity in the choice of unitarization technique makes it impossible to accurately determine the important parameters which are needed for the modelling of other processes.
引用
收藏
页码:1489 / 1502
页数:14
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