Masses and decay constants of the Ds0*(2317) and D

Abstract

We perform a high statistics study of the J P = 0 + and 1 + charmed-strange mesons, D * s0 (2317) and Ds1(2460), respectively. The effects of the nearby DK and D * K thresholds are taken into account by employing the corresponding four quark operators. Six ensembles with N f = 2 nonperturbatively O(a) improved clover Wilson sea quarks at a = 0.07 fm are employed, covering different spatial volumes and pion masses: linear lattice extents L/a = 24, 32, 40, 64, equivalent to 1.7 fm to 4.5 fm, are realised for mπ = 290 MeV and L/a = 48, 64 or 3.4 fm and 4.5 fm for an almost physical pion mass of 150 MeV. Through a phase shift analysis and the effective range approximation we determine the scattering lengths, couplings to the thresholds and the infinite volume masses. Differences relative to the experimental values are observed for these masses, however, this is likely to be due to discretisation effects as spin-averaged quantities and splittings are reasonably compatible with experiment. We also compute the weak decay constants of the scalar and axialvector and find f

An update on the BQCD Hybrid Monte Carlo program

“…It was first published at Lattice 2010 [1] and has been used by several groups: the QCDSF-UKQCD collaboration [2][3][4][5][6][7], CSSM [6][7][8][9], Japanese finite density [10,11] and finite temperature [12] projects, and the RQCD collaboration [13].…”

Heavy-hadron interactions from Lattice QCD

“…part of Figure 8 shows the finite volume behavior and contrasts the data from [16] with the data from one of the ensembles used in [13], and with experiment, for both the D * s0 (2317) and the D s1 (2460 binding energies observed in experiment. It should be stressed that there has been no attempt yet to fully to control the uncertainty from the lattice discretization.…”

“…More recently, the positive parity D * s0 (2317) and D s1 (2460) were revisited by different authors in [16], using lattices with multiple volumes and two different pion masses. The use of multiple lattice volumes leads to a larger number of points close-to threshold, and allows for a test of the effective range approximation, improving upon the previous results.…”

“…In section 3, I will provide an overview of lattice calculations of heavy-light mesons, where a number of results for bound-states and resonances in meson-meson scattering exist [11][12][13][14][15][16]. In section 4, exploratory results for charmonium and charmonium-like states are presented.…”

An analysis of the lattice QCD spectra for $D^*_{s0}(2317)$ and $D^*_{s1}(2460)$

“…Information about the nature of these states can be also determined from the couplings of the poles found to the different channels used when solving the BetheSalpeter equation. In this way, effective field theories provide a valuable predictive and analyzing tool [10], alternative to the Lüsher method, which can constitute a breakthrough in the problem of analyzing resonances/bound states in Lattice QCD studies.…”