Properties of the pi0, eta, eta-prime, sigma, f0(980) and a0(980) mesons and their relevance for the polarizabilities of the nucleon

Schumacher, Martin

doi:10.1140/epja/i2007-10506-3

Properties of the pi0, eta, eta-prime, sigma, f0(980) and a0(980) mesons and their relevance for the polarizabilities of the nucleon

Martin Schumacher
(
- Gottingen U.
)

Dec, 2007

17 pages

Published in:

Eur.Phys.J.A 34 (2007) 293-301

e-Print:

0712.1417 [hep-ph]

DOI:

10.1140/epja/i2007-10506-3

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Abstract: (arXiv)

The signs and values of the two-photon couplings

F_{M\gamma\gamma}

of mesons

(M)

and their couplings

g_{MNN}

to the nucleon as entering into the

t

-channel parts of the difference of the electromagnetic polarizabilities

(\alpha-\beta)

and the backward angle spin polarizabilities

\gamma_\pi

are determined. The excellent agreement achieved with the experimental polarizabilities of the proton makes it possible to make reliable predictions for the neutron. The results obtained are

\alpha_n=13.4\pm 1.0

,

\beta_n=1.8\mp 1.0

(

10^{-4}

fm

^3

), and

\gamma^{(n)}_\pi=57.6\pm 1.8

(

10^{-4}

fm

^4

). New empirical information on the flavor wave functions of the

f_0(980)

and the

a_0(980)

meson is obtained.

11.55.Hx
13.60.Fz
11.55.Fv
14.70.Bh
photon meson: coupling constant
meson nucleon: coupling constant
pseudoscalar meson: wave function
scalar meson: wave function
sigma model: linear
symmetry: SU(2) x SU(2)

References(62)

Figures(0)

Electromagnetic polarizabilities of the nucleon and properties of the sigma-meson pole contribution

Martin Schumacher
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)

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•
e-Print:
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•
DOI:
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Electromagnetic polarizabilities of the nucleon and properties of the sigma-meson pole contribution

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(
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•
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•
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