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Slaughter, Milton Dean

doi:10.1103/physrevc.82.015208

Cited by 5 publications

(6 citation statements)

References 16 publications

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“…(1), u B ð B ; ; Þ is a spin 3=2 baryon Rarita-Schwinger [22] spinor with helicity , three-momentum p with angle referred to theẑ-axis, energy E p B , and velocity parameter B ¼ sinh À1 ðjpj=m B Þ [6].…”

Section: The Electromagnetic Current Matrix Elementmentioning

confidence: 99%

“…U-SPIN 1, 1 2 , AND 0 DECUPLET BARYON MAGNETIC MOMENT RELATIONSHIPS Previously [6,25] (U-spin 3 2 quartet only), we investigated magnetic moment relationships by utilizing the commutator ½V K 0 ; j em ð0Þ ¼ 0 inserted between the baryon pairs (hÄ ÃÀ s j, j À t i), (hAE ÃÀ s j, jÄ ÃÀ t i), and (hÁ À s j, jAE ÃÀ t i) where each baryon (B ¼ Á À , AE Ã À , Ä Ã À , or À ) had Q B ¼ Àe, helicity þ3=2 and t z ! 1 and s z !…”

Section: The Electromagnetic Current Matrix Elementmentioning

confidence: 99%

“…With that notation, in Ref. [6], we found that hÁ À i ¼ h À i. Second, we utilize the double ETCRs to relate the matrix elements hÁ À i, hÁ 0 i, hÁ þ i, and hÁ þþ i (a U-Spin singlet) to each other and to that of the À .…”

Section: The Electromagnetic Current Matrix Elementmentioning

confidence: 99%

“…[6], we illustrated how one may calculate the magnetic moments of the physical decuplet U-spin ¼ 3 2 quartet members (the Á À , AE ÃÀ , and Ä ÃÀ ) in terms of that of the À (U-spin ¼ 3 2 as well) without ascribing any specific form to their quark structure or intraquark interactions [6][7][8][9][10][11]. Theoretical and computational investigations and reviews involving the magnetic moments of the À and the Á À and lattice quantum chromodynamics (LQCD) (quenched and unquenched, unphysical pion mass) techniques are also available [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…The particular Lorentz frame that one might utilize when analyzing current-algebraic sum rules does not matter when flavor symmetry is exact and is strictly a matter of taste and calculational convenience, whereas when one uses current-algebraic sum rules in broken symmetry, the choice of frame is paramount since one wishes to emphasize the calculation of leading order contributions while simultaneously simplifying the calculation of symmetry breaking corrections [6][7][8][9][10][11]17].…”

Section: Introductionmentioning

confidence: 99%

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Magnetic moments of the ground-stateJP=32+baryon decuplet

Slaughter

2011

Phys. Rev. D

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The magnetic moment-a function of the electric charge form factor F 1 ðq 2 Þ and the magnetic dipole form factor F 2 ðq 2 Þ at zero four-momentum transfer q 2 -of the ground-state J P ¼ 3 2 þ baryon decuplet magnetic moments have been studied for many years with limited success. At present, only the magnetic moment of the À has been accurately determined. We calculate nonperturbatively the magnetic moments of the physical baryon decuplet J P ¼ 3 2 þ members and, in particular, we obtain Á þþ ¼ ðþ3:67 AE 0:07Þ N , Á þ ¼ ðþ1:83 AE 0:04Þ N , Á 0 ¼ ð0Þ N , and the magnetic moments of their U-Spin partners in terms of À magnetic moment data.

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Section: The Electromagnetic Current Matrix Elementmentioning

confidence: 99%

Section: The Electromagnetic Current Matrix Elementmentioning

confidence: 99%

Section: The Electromagnetic Current Matrix Elementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetic moments of the ground-stateJP=32+baryon decuplet

Slaughter

2011

Phys. Rev. D

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Transition magnetic moments of ${J}^{P}={\frac{3}{2}}^{+}$ decuplet to ${J}^{P}={\frac{1}{2}}^{+}$ octet baryons in the chiral constituent quark model

Dahiya

2018

Chinese Phys. C

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In light of the developments of the chiral constituent quark model (χCQM) in studying low energy hadronic matrix elements of the ground-state baryons, we extend this model to investigate their transition properties. The magnetic moments of transitions from the J P = 3 2 + decuplet to J P = 1 2 + octet baryons are calculated with explicit valence quark spin, sea quark spin and sea quark orbital angular momentum contributions. Since the experimental data is available for only a few transitions, we compare our results with the results of other available models. The implications of other complicated effects such as chiral symmetry breaking and SU(3) symmetry breaking arising due to confinement of quarks are also discussed.

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Magnetic moments ofJP=32+decuplet baryons using effective quark masses in a chiral constituent quark model

2015

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The magnetic moments of J P = 3 2 + decuplet baryons have been calculated in the chiral constituent quark model (χCQM) with explicit results for the contribution coming from the valence quark polarizations, sea quark polarizations, and their orbital angular momentum. Since the+ decuplet baryons have short lifetimes, the experimental information about them is limited. The χCQM has important implications for chiral symmetry breaking as well as SU (3) symmetry breaking since it works in the region between the QCD confinement scale and the chiral symmetry breaking scale. The predictions in the model not only give a satisfactory fit when compared with the experimental data but also show improvement over the other models. The effect of the confinement on quark masses has also been discussed in detail and the results of χCQM are found to improve further with the inclusion of effective quark masses.

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Ω−,Ξ*−,Σ<

Cited by 5 publications

References 16 publications

Magnetic moments of the ground-stateJP=32+baryon decuplet

Magnetic moments of the ground-stateJP=32+baryon decuplet

Transition magnetic moments of ${J}^{P}={\frac{3}{2}}^{+}$ decuplet to ${J}^{P}={\frac{1}{2}}^{+}$ octet baryons in the chiral constituent quark model

Magnetic moments ofJP=32+decuplet baryons using effective quark masses in a chiral constituent quark model

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