U(1) Goldberger-Treiman Relation and Its Connection to the Proton Spin
| dc.creator | Cheng, Hai-Yang | |
| dc.date | 1995-10-12 | |
| dc.date.accessioned | 2026-07-07T03:58:19Z | |
| dc.date.available | 2026-07-07T03:58:19Z | |
| dc.description | The U(1) Goldberger-Treiman (GT) relation for the axial charge $g_A^0$ is reexamined. It is stressed that the isosinglet GT relation in terms of the $η_0$ holds irrespective of the quark masses and the axial anomaly. We pointed out that the identification of the $η_0-N$ and $\dk-N$coupling terms with the quark and gluon spin components respectively in a proton is possible but valid only in the chiral-invariant factorization scheme. In general, the two-component U(1) GT relation can be identified in a gauge-invariant way with connected and disconnected insertions. The observation that $(\sqrt{3}f_π/2m_N)\getao$ is related to the connected insertion i.e., the total valence quark contribution to the proton spin enables us to determine the physical coupling constants $\getap$ and $\geta$ from the GT relations for $g_A^0$ and $g_A^8$. We found $\getap=3.4$ and $\geta=4.7\,$. | |
| dc.description | 10 pages, 2 Postscript figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9510280 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9510280 | |
| dc.identifier | Chin.J.Phys. 34 (1996) 738-747 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/45765 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Nuclear Theory | |
| dc.title | U(1) Goldberger-Treiman Relation and Its Connection to the Proton Spin | |
| dc.type | text |