Strangeness in the Scalar Form Factor of the Nucleon

Abstract

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 $⟨N|\bar{s}s|N⟩$ arising from the leading order and rotational $1/N_c$ contributions. We obtain the $σ_{πN} (0)=40.80\;\mbox{MeV}$, $Δσ= σ_{πN} (2m^{2}_π)-σ_{πN} (0) = 18.18\;\mbox{MeV}$ 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}.

13 pages, RevTex is used. 3 figures as uufiles are included

References in corpus (4)

• Electromagnetic form factors of the nucleon in the chiral quark soliton model
• Note on Strange Quarks in the Nucleon
• Confinement and the Pion Nucleon Sigma Term
• A Dynamical Resolution of the Sigma Term Puzzle

Cited by in corpus (14)

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• Correlated two-pion exchange and large-N(C) behavior of nuclear forces
• Pion mass dependence of the nucleon mass in the chiral quark soliton model
• The sigma-term form factor of the nucleon in the large-Nc limit
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Strange vector form factors of the nucleon in the SU(3) chiral quark-soliton model with the proper kaonic cloud
• Scalar form-factor of the proton with light-cone QCD sum rules
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Quark flavor distribution functions for the octet baryons in the chiral quark constituent model
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Strange results from chiral soliton models