$π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model

Details $π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model $π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model

1998-04-14

arxiv.org/abs/hep-ph/9804286v1

Phys.Rev.C58:502-516,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevC.58.502

The transition amplitude for $\pi K$ 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 $(\sigma,\sigma')$ exchanges, and a $u$ channel exchange of a scalar isodoublet $\sigma_K$ 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.

Affiliated with

Also associated with

No associations

Rating

$π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $π$-$K$ scattering lengths at finite temperature in the Nambu--Jona-Lasinio model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-232013