$π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model
| dc.creator | Piwnicki, P. | |
| dc.creator | Klevansky, S. P. | |
| dc.creator | Rehberg, P. | |
| dc.date | 1998-04-14 | |
| dc.date.accessioned | 2026-07-07T11:09:46Z | |
| dc.date.available | 2026-07-07T11:09:46Z | |
| dc.description | The transition amplitude for $πK$ scattering is evaluated within the SU(3) Nambu--Jona-Lasinio model. Ordering terms according to the expansion in $1/N_c$ leads to a box-like diagram, $t$ channel diagrams that admit scalar isoscalar $(σ,σ')$ exchanges, and a $u$ channel exchange of a scalar isodoublet $σ_K$ that has quantum numbers corresponding to the $K_0^*(1430)$. Both the Pauli-Villars and O(3) regularization procedures are used to evaluate the T=0 values of the $l=0$ scattering lengths $a_0^{3/2}$ and $a_0^{1/2}$. The finite temperature dependence is studied. We find that the variation in the $t$ channel in the calculation of $a_0^{3/2}$ leads to a change in $a_0^{3/2}$ of a factor of about two over the temperature range of T=150 MeV. | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9804286 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9804286 | |
| dc.identifier | Phys.Rev.C58:502-516,1998 | |
| dc.identifier | doi:10.1103/PhysRevC.58.502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190583 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | $π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model | |
| dc.type | text |