SU₃ mass differences in fifth interaction and tadpole results

Journal Article · Mon Mar 01 00:00:00 UTC 1971 · Nuovo Cimento, A

DOI: https://doi.org/10.1007/bf02724000 · OSTI ID:4073881

Goyal, Ashok ^[1]

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1. Univ. of Pennsylvania, Philadelphia, PA (United States)

Here we examine the medium strong mass splittings for pseudo-scalar mesons, vector mesons and spin-2/3 baryons in the framework of the «fifth interaction» proposed by Ne’eman. In addition to the resonance contributions from the low-lying states, we write an expression for the contribution from f₈ Regge exchange in terms of contributions to electromagnetic mass differences from $$\text{A}^0_2$$ Regge exchange. Assuming that the $$\text{A}^0_2$$ Regge pole gives the correct contribution to the e.m. mass differences, we estimate the contribution of the f₈-meson. In the approximation of neglecting the continuum spectrum, the ratio of tadpole contributions is given by the ratio of coupling constants of the f₈-meson with hadrons. The results of the tadpole model are in agreement with the subtraction scheme of Segrè. We also find that in the presence of such anSU₃-symmetry-breaking term, the renormalization of the hadronic weak-strangeness-changing vector current vertex, to second order in such a term, is quadratically divergent.

• Research Organization: Univ. of Pennsylvania, Philadelphia, PA (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-24-045565
• OSTI ID: 4073881
• Report Number(s): NYO--2171-317
• Journal Information: Nuovo Cimento, A, Journal Name: Nuovo Cimento, A Journal Issue: 1 Vol. 2; ISSN 0369-3546
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English