nucl-th digest · Sep 22, 2023

Stability and causality criteria in linear mode analysis: stability means causality

Causality and stability are fundamental requirements for the differential equations describing predictable relativistic many-body systems. In this work, we investigate the stability and causality criteria in linear mode analysis. We discuss the updated stability criterion in 3+1 dimensional systems and introduce the improved sufficient criterion for causality. Our findings clearly demonstrate that stability implies causality in linear mode analysis. Furthermore, based on the theorems present in this work, we conclude that if updated stability criterion and improved causality criterion are fulfilled in one inertial frame of reference (IFR), they hold for all IFR.

↳ hep-thhep-phnucl-thPRD(2024)·30 citations

Heavy

Ξ_{c / b}

and

Ξ_{c / b}^{'}

baryons in the quark model

We present a study of the low-lying

Ξ_{c / b}

and

Ξ_{c / b}^{'}

baryon states based on masses, strong and radiative decays. In a harmonic oscillator quark model analysis it is found that the majority of the detected states can be interpreted as

S

- and

P

-wave excitations.

↳ hep-phnucl-thJ.Phys.Conf.Ser.(2023)·3 citations

Friday·September 22, 2023

Stability and causality criteria in linear mode analysis: stability means causality

Heavy $Ξ_{c / b}$ and $Ξ_{c / b}^{'}$ baryons in the quark model

Affiliations

Stability and causality criteria in linear mode analysis: stability means causality

Heavy Ξc/b​ and Ξc/b′​ baryons in the quark model

Affiliations

Heavy $Ξ_{c / b}$ and $Ξ_{c / b}^{'}$ baryons in the quark model