English

Finite volume corrections to the binding energy of the X(3872)

High Energy Physics - Phenomenology 2016-01-06 v1 High Energy Physics - Lattice

Abstract

The quark mass dependence of hadrons is an important input for lattice calculations. We investigate the light quark mass dependence of the binding energy of the X(3872) in a finite box to next-to-leading order in an effective field theory for the X(3872) with perturbative pions (XEFT). At this order, the quark mass dependence is determined by a quark mass-dependent contact interaction in addition to the one-pion exchange. While there is only a moderate sensitivity to the light quark masses in the region up to twice their physical value, the finite volume effects are significant already at box length as large as 20 fm.

Keywords

Cite

@article{arxiv.1505.04099,
  title  = {Finite volume corrections to the binding energy of the X(3872)},
  author = {M. Jansen and H. -W. Hammer and Yu Jia},
  journal= {arXiv preprint arXiv:1505.04099},
  year   = {2016}
}

Comments

23 pages, 9 figures, REVTeX