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Chiral restoration from pionic atoms?

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arxiv nucl-th/0202038 v2 pith:CWHPCCT2 submitted 2002-02-12 nucl-th

Chiral restoration from pionic atoms?

classification nucl-th
keywords atomsbodychiralmanymicroscopicpionpionicpotential
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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