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Modified pi pi amplitude with sigma pole
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SYSNO ASEP 0439718 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Modified pi pi amplitude with sigma pole Tvůrce(i) Bydžovský, Petr (UJF-V) RID, ORCID, SAI
Kaminski, R. (PL)
Nazari, V. (PL)Celkový počet autorů 3 Zdroj.dok. Physical Review D. - : American Physical Society - ISSN 1550-7998
Roč. 90, č. 11 (2014), s. 116005Poč.str. 11 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova scattering data ; equation ; phase-shifts Vědní obor RIV BE - Teoretická fyzika CEP GAP203/12/2126 GA ČR - Grantová agentura ČR Institucionální podpora UJF-V - RVO:61389005 UT WOS 000346670700005 EID SCOPUS 84919740885 DOI https://doi.org/10.1103/PhysRevD.90.116005 Anotace A set of well-known once subtracted dispersion relations with imposed crossing symmetry condition is used to modify unitary multichannel S (pi pi, K (K) over bar, and eta eta) and P (pi pi, rho 2 pi, and rho sigma) wave amplitudes mostly below 1 GeV. Before the modifications, these amplitudes significantly did not satisfy the crossing symmetry condition and did not describe the pi pi threshold region. Moreover, the pole of the S wave amplitude related with the f(0)(500) meson (former f(0)(600) or sigma) had much smaller imaginary part and bigger real one in comparison with those in the newest Particle Data Group Tables. Here, these amplitudes are supplemented by near threshold expansion polynomials and refitted to the experimental data in the effective two pion mass from the threshold to 1.8 GeV and to the dispersion relations up to 1.1 GeV. In result the self consistent, i.e., unitary and fulfilling the crossing symmetry condition, S and P wave amplitudes are formed and the sigma pole becomes much narrower and lighter. To eliminate doubts about the uniqueness of the so obtained sigma pole position short and purely mathematical proof of the uniqueness of the results is also presented. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2015
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