Proton polarizability in the MIT bag model

Hecking, P.; Bertsch, G. F.

doi:10.1016/0370-2693(81)91116-3

Cited by 54 publications

(27 citation statements)

References 6 publications

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“…The electromagnetic polarizabilities of the nucleon have been calculated in various approaches, amongst them nonrelativistic quark- [60]- [62], MIT bag- [63] [64] and chiral quark models [65] as well as BChP T [6] [55] [66] [67]. The static polarizability is a measure for how easily an electric (magnetic) dipole moment may be induced by a constant external electric field ε (magnetic field b).…”

Section: Polarizabilitiesmentioning

confidence: 99%

Quantum corrections to baryon properties in chiral soliton models

Meier¹,

Walliser²

1997

Physics Reports

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Chiral lagrangians as effective field theories of QCD are successfully applied to meson physics at low energies in the framework of chiral perturbation theory. Because of their nonlinear structure these lagrangians allow for static soliton solutions which may be interpreted as baryons. Their semiclassical quantization, which provides the leading order in an 1/N C expansion (N C is the number of colors) turned out to be insufficient in many cases to obtain good agreement with empirical baryon observables. However with N C = 3, large corrections are expected in the next-to-leading order which is carried by pionic fluctuations around the soliton background. The calculation of these corrections requires renormalization to 1-loop of the underlying field theory. We present a procedure to calculate the 1-loop contributions for a variety of baryonic observables. In contrast to chiral perturbation theory, terms with an arbitrary number of gradients may in principle contribute and the restriction to low chiral orders can only be justified by the investigation of the scale independence of the results. The results generally give the right sign and magnitude to reduce the discrepancy between theory and experiment with one exception: the axial quantities. These suffer from the fact that the underlying current algebra mixes different N C orders, which suggests a large and positive next-to-next-to-leading order contribution, which is probably sufficient to close the gap to experiment.

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Section: Polarizabilitiesmentioning

confidence: 99%

Quantum corrections to baryon properties in chiral soliton models

Meier¹,

Walliser²

1997

Physics Reports

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“…Recent measurements of electromagnetic polarizabilities of the proton [1,2] and neutron [3] renewed theoretical interest in these quantities [4]. Many calculations of the electric, α, and magnetic, β, polarizabilities of the nucleon can be found in the literature in models ranging from various quark models and bags [5][6][7][8][9] cloudy bags [10] to Skyrmions [11][12][13]. A quenched lattice calculation for α has also been done [14].…”

Section: Introductionmentioning

confidence: 99%

Response of nucleons to external probes in hedgehog models. I. Electromagnetic polarizabilities

Broniowski

Cohen

1993

Phys. Rev. D

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Electromagnetic polarizabilities of the nucleon are analyzed in a hedgehog model with quark and meson degrees of freedom. Semiclassical methods are used (linear response theory, quantization via cranking). It is found that in hedgehog models (Skyrmion, chiral quark models, Nambu-Jona-Lasinio model), the average electric polarizability of the nucleon, α N , is of the order N c , and the splitting of the neutron and proton electric(proper) polarizabilities, δα = α n − α p , is of the order 1/N c . We present a general argument why one expects δα > 0 in models with a pionic cloud. Our model prediction for the sign and magnitude of δα is in agreement with recent measurements. The obtained value for α N , however, is roughly a factor of three too large. This is because of two problems with our particular model: a too strong pion tail, and the degeneracy of N and ∆ states in the large-N c limit. This degeneracy also results in a very strong N c -dependence of the paramagnetic part of the magnetic polarizability, β, which is of the order N 3 c . We compare the large-N c results to the one-loop chiral perturbation theory predictions, and show the importance of ∆-effects in pionic loops. We also investigate the role of non-minimal substitution terms in the effective lagrangian on the polarizabilities of the nucleon.

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“…At present there are many different approaches used for the description of the electromagnetic polarizabilities of hadrons: the MIT bag model [6,7], the nonrelativistic quark model [8,9,10,11,12], the chiral quark model [13,14], the chiral soliton model [15,16] and the Skyrme model [17,18]. Here we mentioned only a small part of the publications on these topics (see also review [19]).…”

Section: Introductionmentioning

confidence: 99%

Relativistic corrections to the electromagnetic polarizabilities of compound systems

2001

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The low-energy amplitude of Compton scattering on the bound state of two charged particles of arbitrary masses, charges and spins is calculated. A case in which the bound state exists due to electromagnetic interaction (QED) is considered. The term, proportional to ω 2 , is obtained taking into account the first relativistic correction. It is shown that the complete result for this correction differs essentially from the commonly used term ∆α, proportional to the r.m.s. charge radius of the system. We propose that the same situation can take place in the more complicated case of hadrons.

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Proton polarizability in the MIT bag model

Cited by 54 publications

References 6 publications

Quantum corrections to baryon properties in chiral soliton models

Quantum corrections to baryon properties in chiral soliton models

Response of nucleons to external probes in hedgehog models. I. Electromagnetic polarizabilities

Relativistic corrections to the electromagnetic polarizabilities of compound systems

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