LOW-ENERGY PION-NUCLEON P-WAVE SCATTERING IN THE SKYRME MODEL

被引:26
作者
HOLZWARTH, G [1 ]
PARI, G [1 ]
JENNINGS, BK [1 ]
机构
[1] TRIUMF,VANCOUVER V6T 2A3,BC,CANADA
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0375-9474(90)90278-T
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The πN P-wave scattering amplitudes are calculated in the Skyrme model for pion momenta up to k=3mπ. From the contributions of the rotational zero modes to the background scattering the πNN form factor is extracted. Linear and quadratic time-derivative interactions are added to the K-matrix in plane-wave Born approximation. Best results are obtained with the physical value fπ=93 MeV and they reproduce the essential features of the P-wave data analysis. Deficiencies are due to two shortcomings of the Skyrme stabilization mechanism: the pion-nucleon coupling constant is too small by a factor of ∼0.77 and the Skyrmion is too soft for monopole vibrations. © 1990.
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页码:665 / 685
页数:21
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