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EnglishIn this work we study the spectral functions of scalar mesons in one- and two-channel cases by using nonlocal interaction Lagrangian(s). When the propagators satisfy the Källen-Lehman representation, a normalized spectral function is obtained, allowing one to take into account finite-width effects in the evaluation of decay rates. In the one-channel case, suitable to the light σ and k mesons, the spectral function can deviate consistently from a Breit-Wigner shape. In the two-channel case with one subthreshold channel, the evaluated spectral function is well approximated by a Flatté distribution; when applying the study to the a0(980) and f0(980) mesons, the tree-level forbidden KK decay is analyzed.
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| Data di pubblicazione: | 2007 | |
| Titolo: | Spectral functions of scalar mesons | |
| Autori: | F. Giacosa; G. Pagliara | |
| Rivista: | PHYSICAL REVIEW. C, NUCLEAR PHYSICS | |
| Abstract: | In this work we study the spectral functions of scalar mesons in one- and two-channel cases by using nonlocal interaction Lagrangian(s). When the propagators satisfy the Källen-Lehman representation, a normalized spectral function is obtained, allowing one to take into account finite-width effects in the evaluation of decay rates. In the one-channel case, suitable to the light σ and k mesons, the spectral function can deviate consistently from a Breit-Wigner shape. In the two-channel case with one subthreshold channel, the evaluated spectral function is well approximated by a Flatté distribution; when applying the study to the a0(980) and f0(980) mesons, the tree-level forbidden KK decay is analyzed. | |
| Digital Object Identifier (DOI): | 10.1103/PhysRevC.76.065204 | |
| Handle: | http://hdl.handle.net/11392/1557605 | |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
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