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M. D. Scadron

Publications and source records attributed to M. D. Scadron.

43 records · Page 3Linked to original sources
arXiv1997

Comments on compositeness in the SU(2) linear sigma model

First we summarize the quark-level linear $σ$ model compositeness conditions and verify that indeed $m_σ= 2 m_q$ when $m_π= 0$ and $N_c=3$, rather than in the $N_c\to\infty$ limit, as is sometimes suggested. Later we show that this compositeness picture also predicts a chiral symmetry restoration temperature $T_c = 2f_π$, where $f_π$ is the pion decay constant. We contrast this self-consistent Z=0 compositeness analysis with prior studies of the compositeness problem.

hep-ph↗
arXiv1997

Scalar sigma meson via chiral and crossing dynamics

We show that the non-strange scalar $σ$ meson, as now reported in the 1996 PDG tables, is a natural consequence of crossing symmetry as well as chiral dynamics for both strong interaction low energy $ππ$ scattering and also $K \to 2π$ weak decays.

hep-ph↗
arXiv1997

Double Counting Ambiguities in the Linear Sigma Model

We study the dynamical consequences imposed on effective chiral field theories such as the quark-level SU(2) linear $σ$ model (L$σ$M) due to the fundamental constraints of massless Goldstone pions, the normalization of the pion decay constant and form factor, and the pion charge radius. We discuss quark-level double counting L$σ$M ambiguities in the context of the Salam-Weinberg $Z = 0$ compositeness condition. Then SU(3) extensions to the kaon are briefly considered.

hep-ph↗
arXiv1997

Mixing of eta-eta' Mesons in J/psi Decays into a Vector and a Pseudoscalar Meson

The octet-singlet mixing angle $θ_P$ in the pseudoscalar meson nonet is deduced from the rich set of accurate data on $J/ψ$ decays into a vector and a pseudoscalar meson. Corrections due to non-ideal $ω$-$ϕ$ mixing have been included for the first time and turn out to be crucial to find $θ_P = -16.9 \pm 1.7$ degrees, which is appreciably less negative than previous results coming from similar analyses.

hep-ph↗