Analysis of a QCD Hamiltonian in the low energy regime.

39th Symposium on Nuclear Physics 2016

Yépez-Martínez, T.^1 ; Quiroz, D. A. Amor^2 ; Hess, P.O.^2 ; Civitarese, O.^1

Departamento de Física, Universidad Nacional la Plata, C.C.67, La Plata

1900, Argentina^1

Instituto de Ciencias Nucleares, UNAM, Circuito Exterior, C.U., A.P. 70-543, México, D.F.

04510, Mexico^2

关键词: Experimental values;    Light quarks;    Linear potential;    Meson spectra;    Potential parameters;    Self-consistent analysis;    String tension;    Variational analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/730/1/012020/pdf
DOI  :  10.1088/1742-6596/730/1/012020

来源: IOP

【 摘 要 】

We present a QCD motivated Hamiltonian for the light quark sector. Inspired from self-consistent analysis of the Coulomb interaction, we implement an interaction of the form (-a/r + br) between color sources, which already consider gluonic dynamics by the linear potential contribution. A prediagonalization of the kinetic energy term followed by the implementation of the Tamm-Dancoff method are used to obtain the eigenvalues of the Hamiltonian. A variational analysis is implemented to obtain the optimized basis for the low energy meson spectrum. The potential parameter is compared to the reported lattice string tension with relatively good agreement. The obtained energies are located close to the experimental values and further improvements are discussed.