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Electromagnetic polarizabilities and charge radii of the nucleons in the diquark model

Aug, 1994
15 pages
Published in:
  • Phys.Lett.B 343 (1995) 363-368
e-Print:
DOI:
Report number:
  • TUFTS-TH-94-G01
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Abstract:
The diquark model is used to calculate the electromagnetic polarizabilities and charge radii of the nucleons for three different potentials. Making the scalar diquark lower in mass introduces a mixing angle θ\theta between the ∣56⟩\left| 56\right\rangle and ∣70⟩\left| 70\right\rangle states ,which allows an improvement in value of all 6 properties. Generalizing the Gamov-Teller matrix and the magnetic moment operator to the diquark model gives constraints on this mixing. We obtain for the Richardson potential θ=23.2 ∘,\theta =23.2~{\circ }, α‾p=7.9−0.9 +1.0×10 −4fm 3,\overline{\alpha }_p=7.9_{-0.9}~{+1.0}\times 10~{-4}fm~3, α‾n=7.7−0.6 +0.3×10 −4fm 3,\overline{\alpha }_n=7.7_{-0.6}~{+0.3}\times 10~{-4}fm~3, β‾p=5.4−0.4 +1.6×10 −4fm 3,\overline{\beta }_p=5.4_{-0.4}~{+1.6}\times 10~{-4}fm~3, β‾\overline{\beta }% _n=6.7_{-0.7}~{+1.3}\times 10~{-4}fm~3, ⟨r 2⟩p=0.37−0.03 +0.02fm 2,\left\langle r~2\right\rangle _p=0.37_{-0.03}~{+0.02}fm~2, ⟨r 2⟩n=−0.07−0.02 +0.03fm 2.\left\langle r~2\right\rangle _n=-0.07_{-0.02}~{+0.03}fm~2. Additional pion cloud contributions could improve on all six results.
  • nucleon: polarizability
  • form factor: electric
  • electric: form factor
  • quark: diquark
  • nucleon: wave function
  • effective potential
  • symmetry: SU(6)
  • mixing angle
  • pi: effect
  • numerical calculations