Cancellation of the σ meson in thermal models

被引：64

作者：

Broniowski, Wojciech ^{[1
,2
]}

Giacosa, Francesco ^{[1
,3
]}

Begun, Viktor ^{[1
]}

机构：

[1] Jan Kochanowski Univ, Inst Phys, PL-25406 Kielce, Poland

[2] Polish Acad Sci, H Niewodniczanski Inst Nucl Phys, PL-31342 Krakow, Poland

[3] Goethe Univ Frankfurt, Inst Theoret Phys, D-60438 Frankfurt, Germany

来源：

PHYSICAL REVIEW C | 2015年 / 92卷 / 03期

关键词：

CHIRAL PERTURBATION-THEORY; PI-PI; SCATTERING; THERMODYNAMICS; SHARE;

D O I：

10.1103/PhysRevC.92.034905

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The by now well-established scalar-isoscalar resonance f(0)(500) (the sigma meson) seems potentially relevant in the evaluation of thermodynamic quantities of a hadronic gas since its mass is low. However, we recall that its contribution to isospin-averaged observables is, to a surprising accuracy, canceled by the repulsion from the pion-pion scalar-isotensor channel. As a result, in practice one should not incorporate f(0)(500) in standard hadronic resonance-gas models for studies of isospin-averaged quantities. In our analysis we use the formalism of the virial expansion, which allows one to calculate the thermal properties of an interacting hadron gas in terms of derivatives of the scattering phase shifts, hence in a model-independent way directly from experimentally accessible quantities. A similar cancellation mechanism occurs for the scalar kaonic interactions between the I = 1/2 channel [containing the alleged K-0(*) (800) or the kappa meson] and the I = 3/2 channel.

引用

页数：6

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