Decuplet reexamined in chiral perturbation theory

Banerjee, M. K.; Milana, Joseph

doi:10.1103/physrevd.54.5804

Cited by 47 publications

(52 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…To one-loop order the dimensionally-regulated χPT result for decuplet baryon magnetic moments is [14,15] …”

Section: Extrapolations -An Effective Field Theorymentioning

confidence: 99%

“…These expressions are given explicitly in Ref. [14]. The constants a 0 and a 2 multiplying the analytic terms are not specified within χPT and must be determined by other means.…”

Section: Extrapolations -An Effective Field Theorymentioning

confidence: 99%

“…(2) are octet-meson masses associated with the meson cloud and χ i are model independent constants [20] that give the magnitude of the loop contribution for each intermediate baryon state. These coefficients are given by [14] …”

Section: Extrapolations -An Effective Field Theorymentioning

confidence: 99%

See 2 more Smart Citations

Delta baryon magnetic moments from lattice QCD

2003

View full text Add to dashboard Cite

Theoretical predictions for the magnetic moments of the physical ∆ baryons are extracted from lattice QCD calculations. We utilize finite-range regulated effective field theory that is constructed to have the correct Dirac moment mass dependence in the region where the u and d quark masses are heavy. Of particular interest is the chiral nonanalytic behaviour encountered as the N π decay channel opens. We find a ∆ ++ magnetic moment (at the ∆ pole) of µ ∆ ++ = 4.99 ± 0.56 µN . This result is within the Particle Data Group range of 3.7-7.5 µN and compares well with the experimental result of Bosshard et al. of µ ∆ ++ = 4.52 ± 0.51 ± 0.45 µN . The interplay between the different pion-loop contributions to the ∆ + magnetic moment leads to the surprising result that the proton moment may exceed that of the ∆ + , contrary to conventional expectations.

show abstract

“…To one-loop order the dimensionally-regulated χPT result for decuplet baryon magnetic moments is [14,15] …”

Section: Extrapolations -An Effective Field Theorymentioning

confidence: 99%

“…These expressions are given explicitly in Ref. [14]. The constants a 0 and a 2 multiplying the analytic terms are not specified within χPT and must be determined by other means.…”

Section: Extrapolations -An Effective Field Theorymentioning

confidence: 99%

See 1 more Smart Citation

Delta baryon magnetic moments from lattice QCD

2003

View full text Add to dashboard Cite

show abstract

“…In Refs. [32,36,37] the decuplet magnetic moments were calculated in the heavy-baryon framework. Our calculation differs by the set of diagrams which contibute at the given order.…”

Section: Magnetic Moment Of the ∆(1232)mentioning

confidence: 99%

“…[12,13,14,15,16] for additional theoretical approaches to γp → pπ 0 γ ′ ). On the theoretical side, predictions for the delta magnetic moment have been obtained in various approaches such as SU(6) symmetry [9], several quark models [17,18,19,20,21,22,23,24,25,26,27,28], the Skyrme model [29], the 1/N c expansion [30], lattice QCD [31,32,33], QCD sum rules [34,35], heavy-baryon chiral perturbation theory (HBChPT) [32,36,37], quenched ChPT [38], and chiral effective field theory [16]. The aim of this letter is to calculate the magnetic moment of the ∆(1232) up to and including chiral order p 3 in a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory with explicit ∆ degrees of freedom (∆ChPT) [39].…”

Section: Introductionmentioning

confidence: 99%

Magnetic dipole moment of the Δ(1232) in chiral perturbation theory

et al. 2006

View full text Add to dashboard Cite

The magnetic dipole moment of the ∆(1232) is calculated in the framework of manifestly Lorentzinvariant baryon chiral perturbation theory in combination with the extended on-mass-shell renormalization scheme. As in the case of the nucleon, at leading order both isoscalar and isovector anomalous magnetic moments are given in terms of two low-energy constants. In contrast to the nucleon case, at next-to-leading order the isoscalar anomalous magnetic moment receives a (real) loop contribution. Moreover, due to the unstable nature of the ∆(1232), at next-to-leading order the isovector anomalous magnetic moment not only receives a real but also an imaginary loop contribution.

show abstract

New insight into nuclear structure from QCD

Thomas¹

2004

Ann. Phys.

View full text Add to dashboard Cite

The natural building blocks of atomic nuclei within the framework of QCD are colorless clusters of quarks, with the quantum numbers of nucleons but with internal structure modified by the local mean scalar field. A key parameter of the nucleon in such an approach is the scalar polarizability, which characterizes the response of a nucleon to an applied scalar field. This response leads naturally to 3-, 4-and higher-body effective forces, each proportional to a higher power of the scalar polarizabilty. Recent progress on the important problem of chiral extrapolation of lattice QCD data suggests a way to estimate the scalar polarizability of the nucleon, with initial results consistent with successful phenomenlogical estimates. This may be seen as a first step in the struggle to derive nuclear structure from QCD itself.

show abstract

Decuplet reexamined in chiral perturbation theory

Cited by 47 publications

References 32 publications

Delta baryon magnetic moments from lattice QCD

Delta baryon magnetic moments from lattice QCD

Magnetic dipole moment of the Δ(1232) in chiral perturbation theory

New insight into nuclear structure from QCD

Contact Info

Product

Resources

About