Pion scattering poles and chiral symmetry restoration

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dc.contributor.authorFernández Fraile, Daniel
dc.contributor.authorGómez Nicola, Ángel
dc.contributor.authorHerruzo, E. T.
dc.date.accessioned2023-06-20T10:52:59Z
dc.date.available2023-06-20T10:52:59Z
dc.date.issued2007-10
dc.description© 2007 The American Physical Society. We are grateful to J. R. Peláez, G. Ríos and R. García Martín for very useful comments and discussions. We also acknowledge financial support from the Spanish research projects FPA2004-02602, FPA2005-02327, PR27/05- 13955-BSCH, UCM-CAM 910309 and from the F. P. I. programme (BES-2005-6726).
dc.description.abstractUsing unitarized chiral perturbation theory methods, we perform a detailed analysis of the π π scattering poles f_0(600) and ρ(770) behavior when medium effects such as temperature or density drive the system towards chiral symmetry restoration. In the analysis of real poles below threshold, we show that it is crucial to extend properly the unitarized amplitudes so that they match the perturbative Adler zeros. Our results do not show threshold enhancement effects at finite temperature in the f_0(600) channel, which remains as a pole of broad nature. We also implement T=0 finite-density effects related to chiral symmetry restoration, by varying the pole position with the pion decay constant. Although this approach takes into account only a limited class of contributions, we reproduce the expected finite-density restoration behavior, which drives the poles towards the real axis, producing threshold enhancement and π π bound states. We compare our results with several model approaches and discuss the experimental consequences, both in relativistic heavy ion collisions and in π -> π π and γ -> π π reactions in nuclei.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish research Projects
dc.description.sponsorshipUCM-CAM
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30403
dc.identifier.doi10.1103/PhysRevD.76.085020
dc.identifier.issn1550-7998
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.76.085020
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51388
dc.issue.number8
dc.journal.titlePhysical review D
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.projectIDFPA2004-02602
dc.relation.projectIDFPA2005-02327
dc.relation.projectIDPR27/05- 13955-BSCH
dc.relation.projectIDUCM-CAM 910309
dc.relation.projectIDBES-2005-672
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordPerturbation-theory
dc.subject.keywordFinite-temperature
dc.subject.keywordNuclear medium
dc.subject.keywordNonperturbative approach
dc.subject.keywordEffective lagrangians
dc.subject.keywordOne-loop
dc.subject.keywordMatter
dc.subject.keywordSigma
dc.subject.keywordTransition
dc.subject.keywordMeson
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titlePion scattering poles and chiral symmetry restoration
dc.typejournal article
dc.volume.number76
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