The Constraints of Unitary on $ππ$ Scattering Dispersion Relations
| dc.creator | He, Jianyang | |
| dc.creator | Xiao, Z. G. | |
| dc.creator | Zheng, H. Q. | |
| dc.date | 2002-01-28 | |
| dc.date | 2002-04-25 | |
| dc.date.accessioned | 2026-07-07T10:32:59Z | |
| dc.date.available | 2026-07-07T10:32:59Z | |
| dc.description | A new dispersion relation for the partial wave $ππ$ scattering $S$ matrix is set up. Using the dispersion relation we generalize the single channel unitarity condition, $SS^+=1$, to the entire complex $s$ plane, which is equivalent to the generalized unitarity condition in quantum mechanics. The pole positions of the $σ$ resonance and the $f_0(980)$ resonance are estimated based on the theoretical relations we obtained. The central value of the $σ$ pole position is $M_σ\simeq 410$MeV, $Γ_σ\simeq 550$MeV, obtained after including the the constraint of the Adler zero condition. | |
| dc.description | 10 pages with 4 figures, revised version to appear in Phys. Lett. B | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0201257 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0201257 | |
| dc.identifier | Phys.Lett.B536:59-66,2002; Erratum-ibid.B549:362-363,2002 | |
| dc.identifier | doi:10.1016/S0370-2693(02)01811-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/178949 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The Constraints of Unitary on $ππ$ Scattering Dispersion Relations | |
| dc.type | text |