Strangeness in the Scalar Form Factor of the Nucleon
Nucl.Phys.A596:415-424,1996 The scalar form factor of the nucleon and related physical quantities are investigated in the framework of the semibosonized SU(3) Nambu-Jona-Lasinio soliton model. We take into account the rotational $1/N_c$ corrections and linear $m_s$ corrections. The strangeness conte...
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Zusammenfassung: | Nucl.Phys.A596:415-424,1996 The scalar form factor of the nucleon and related physical quantities are
investigated in the framework of the semibosonized SU(3) Nambu-Jona-Lasinio
soliton model. We take into account the rotational $1/N_c$ corrections and
linear $m_s$ corrections. The strangeness content of the nucleon in the scalar
form factor is discussed in detail. In particular, it is found that the $m_s$
corrections play an essential role of reducing the $\langle N | \bar{s} s | N
\rangle$ arising from the leading order and rotational $1/N_c$ contributions.
We obtain the $\sigma_{\pi N} (0)=40.80\;\mbox{MeV}$, $\Delta \sigma =
\sigma_{\pi N} (2m^{2}_{\pi})-\sigma_{\pi N} (0) = 18.18\;\mbox{MeV}$ and
$\langle r^2\rangle^{S}_{N} = 1.50\;\mbox{fm}^2$.
The results are in a remarkable agreement with empirical data analyzed by
Gasser, Leutwyler, and Sainio~\cite{gls}. |
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DOI: | 10.48550/arxiv.hep-ph/9508299 |