Chiral restoration from pionic atoms? - INSPIRE

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Chiral restoration from pionic atoms?

Feb, 2002

10 pages

Published in:

Phys.Lett.B 541 (2002) 64-70

e-Print:

nucl-th/0202038 [nucl-th]

DOI:

10.1016/S0370-2693(02)02189-5

Report number:

FTUV-02-1202,
IFIC-02-1202

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Abstract:

We evaluate widths and shifts of pionic atoms using a theoretical microscopical potential in which the pion decay constant

f_\pi

is changed by an in--medium density dependent one (

f_\pi(\rho)

), predicted by different partial Chiral restoration calculations. We show that the results obtained for shifts and widths are worse than if this modification were not implemented. On the other hand, we argue that in microscopic many body approaches for the pion selfenergy, based on effective Lagrangians, the mechanisms responsible for the change of

f_\pi

in the medium should be automatically incorporated. Therefore, the replacement of

f_\pi

by

f_\pi(\rho)

in the many body derivation of the microscopic potential would be inappropriate.

Note:

10 pages, new comments and references added Report-no: FTUV-02-1202, IFIC-02-1202

pi: hadronic atom
symmetry: chiral
hadronic atom: width
potential
pi: decay constant
partial wave
pi: propagator
propagator: renormalization
effective Lagrangian
numerical calculations

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