CONSISTENCY CONDITIONS ON STRONG INTERACTIONS IMPLIED BY A PARTIALLY CONSERVED AXIAL-VECTOR CURRENT
CONSISTENCY CONDITIONS ON STRONG INTERACTIONS IMPLIED BY A PARTIALLY CONSERVED AXIAL-VECTOR CURRENT
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DOI：
10.1103/physrev.137.b1022
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发表时间：
1965-01-01
期刊：
影响因子：
--
通讯作者：
ADLER, SL
中科院分区：
文献类型：
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作者：
ADLER, SL
结果表明，部分守恒的Δ S= 0轴矢量流（<$λ J λ A= C <$π）包含了仅涉及强相互作用的相容性条件.其中最有趣的是对称的同位素自旋π介子-核子散射振幅A π N（+）、核子的π介子形状因子K NN π和有理化重整化π介子-核子耦合常数gr之间的关系：gr 2 M= A π N（+）（v = 0，v B= 0，k2 = 0）K NN π（k2 = 0）。[M是核子质量，− k 2是初始π介子的（质量）2。最终的π介子位于质量壳层上;能量和动量传递变量ν和ν B在文中定义。利用实验上的π-核子散射数据，我们发现这个关系在10%以内是满足的。给出了π π和π Λ散射振幅的一致性条件。
It is shown that a partially conserved Δ S= 0 axial-vector current (∂ λ J λ A= C ϕ π) implies consistency conditions involving the strong interactions alone. The most interesting of these is a relation among the symmetric isotopic-spin pion-nucleon scattering amplitude A π N (+), the pionic form factor of the nucleon K NN π, and the rationalized, renormalized pion-nucleon coupling constant g r: g r 2 M= A π N (+)(ν= 0, ν B= 0, k 2= 0) K NN π (k 2= 0).[M is the nucleon mass and− k 2 the (mass) 2 of the initial pion. The final pion is on mass shell; the energy and momentum transfer variables ν and ν B are defined in the text. By using experimental pion-nucleon scattering data, we find that this relation is satisfied to within 10%. Consistency conditions involving the π π and the π Λ scattering amplitudes are stated.