Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-06-12
Phys.Rev. D52 (1995) 2964-2976
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, ReVTeX, 8 figures can be obtained from the author, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.52.2964
Within the QCD sum-rule approach in an external field, we calculate the baryon matrix element of isovector-scalar current, $H_{\rm B}=\langle B|\overline{u}u- \overline{d}d|B\rangle/2M_{\rm B}$, for octet baryons, which appears in the response of the correlator of baryon interpolating fields to a constant isovector-scalar external field. The sum rules are obtained for a general baryon interpolating field with an appropriate form for the phenomenological ansatz of the spectral density. The key phenomenological input is the response of the quark condensates to the external field. To first order in the quark mass difference $\delta m=m_d-m_u$, the non-electromagnetic part of the baryon isospin mass splitting is given by the product of $\delta m$ and $H_{\rm B}$. Therefore, QCD sum-rule calculation of $H_{\rm B}$ leads to an estimate of the octet baryon isospin mass splittings. The resulting values are comparable to the experimental values; however, the sum-rule predictions for $H_{\rm B}$ are sensitive to the values of the response of the quark condensates to the external source, which are not well determined.
No associations
LandOfFree
Baryon QCD sum rules in an external isovector-scalar field and baryon isospin mass splittings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Baryon QCD sum rules in an external isovector-scalar field and baryon isospin mass splittings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Baryon QCD sum rules in an external isovector-scalar field and baryon isospin mass splittings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-108559