Splitting of the neutron and proton electric polarizabilities in a hedgehog model
Dec, 19915 pages
Published in:
- Phys.Lett.B 283 (1992) 22-26
- Published: 1992
Report number:
- DOE-ER-40322-144,
- MDDP-PP-92-130
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Abstract: (Elsevier)
Proton and neutron proper (static) electric polarizabilities, α n and α p , are calculated in a chiral soliton model with quarks and mesons. Semiclassical methods ( 1 N c expansion, cranking, linear response theory) are used. We find α n > α p , and the splitting effect is of the order of 1 N c . Its magnitude, 5.4×10 10−4 fm, agrees with recent experimental data. The average nucleon po larizability is of the order of N c . The numerical value of this quantity obtained from our semiclassical method is roughly a factor of three larger than the experimental value. This is because the contribution of pion-Δ intermediate states is artificially enhanced in hedgehog models.- n: polarizability
- p: polarizability
- polarizability: electric
- partial wave analysis
- model: chiral
- quark
- field equations: soliton
- effective Lagrangian
- approximation: semiclassical
- numerical calculations
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