电流守恒,屏蔽和磁矩的$Δ$共振:2。夸克自由度公式3. $Δ^o$和$Δ^-$共振的磁矩
Current conservation, screening and the magnetic moment of the $Δ$ resonance: 2. Formulation with quark degrees of freedom 3. Magnetic moment of the $Δ^o$ and $Δ^-$ resonances
摘要:
我们以前的论文\cite{MFNEW}是在场论公式中推广的,其中夸克自由度\cite{HW,H,N,Z},π介子和核子被视为夸克的束缚系统。结果表明,由电流守恒产生的含复合核子和π介子的在壳层上的$πN$韧致辐射振幅的关系式与通常的无夸克自由度的量子场论\cite{IZ,BD}中的关系式\cite{MFNEW}具有相同的形式.因此,在具有夸克自由度的量子场论中,\cite{MFNEW}中的$Δ^+$和$Δ^{++}$共振的磁偶极矩的模型无关关系保持相同。这些关系被扩展到$Δ^o$和$Δ^-$共振的磁偶极矩,它们是通过中子$μ_n$的反常磁矩确定的,分别为$μ_{Δ^o}={{M_Δ}\over {m_p}} μ_n$和$μ_{Δ^{-}}={3\over 2}μ_{Δ^o}$。
英文摘要:
Our previous paper \cite{MFNEW} is generalized within the field theoretical formulation with the quark degrees of freedom \cite{HW,H,N,Z}, where pions and nucleons are treated as the bound systems of quarks. It is shown that relations generated by current conservation for the on shell $πN$ bremsstrahlung amplitude with composite nucleons and pions have the same form as in the usual quantum field theory \cite{IZ,BD} without quark degrees of freedom \cite{MFNEW}. Consequently, the model independent relations for the magnetic dipole moments of the $Δ^+$ and $Δ^{++}$ resonances in \cite{MFNEW} remain be the same in the quantum field theory with the quark degrees of freedom. These relations are extended for the magnetic dipole moments of the $Δ^o$ and $Δ^-$ resonances which are determined via the anomalous magnetic moment of the neutron $μ_n$ as $μ_{Δ^o}={{M_Δ}\over {m_p}} μ_n$ and $μ_{Δ^{-}}={3\over 2}μ_{Δ^o}$.
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