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In-medium Pion and Partial Restoration of Chiral Symmetry | D. Jido
; T. Hatsuda
; T. Kunihiro
; | Date: |
29 May 2008 | Abstract: | The partial restoration of chiral symmetry in nuclear medium is investigated
in a model independent way by exploiting operator relations in QCD. An exact
sum rule is derived for the quark condensate valid for all density. This sum
rule is simplified at low density to a new relation <bar{q}q>* =- F_{pi}^t
Z_{pi}^{1/2} with the in-medium quark condensate <bar{q}q>*, in-medium pion
decay constant F_{pi}^t and in-medium pion wave-function renormalization
Z_{pi}*. Calculating Z_{pi}* at low density from the iso-scalar pion-nucleon
scattering data and relating F_{pi}* to the isovector pion-nucleus scattering
length b_1*, it is concluded that the enhanced repulsion of the s-wave
isovector pion-nucleus interaction observed in the deeply bound pionic atoms
directly implies the reduction of the in-medium quark condensate. The knowlege
of the in-medium pion mass m_{pi}* is not necessary to reach this conclusion. | Source: | arXiv, 0805.4453 | Services: | Forum | Review | PDF | Favorites |
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