Nuclear Theory·nucl-th

Monday·April 2, 2018

10 papers—7 primary·3 cross-listed

08
[Submitted on 31 Aug 2017] (cross-list from cond-mat.quant-gas)
Effective-range corrections to the ground-state energy of the weakly-interacting Bose gas in two dimensions
Silas R. Beane
Nonuniversal effects due to leading effective-range corrections are computed for the ground-state energy of the weakly-coupled repulsive Bose gas in two spatial dimensions. Using an effective field theory of contact interactions, these corrections are computed first by considering fluctuations around the mean-field free energy of a system of interacting bosons. This result is then confirmed by an exact calculation in which the energy of a finite number of bosons interacting in a square with period boundary conditions is computed and the thermodynamic limit is explicitly taken.
Comments:
5 pages
Subjects:
Quantum Gases (cond-mat.quant-gas); Nuclear Theory (nucl-th)
arXiv:
1708.09808 [pdf]
Eur.Phys.J.D(2018)·6 citations
09
[Submitted on 29 Mar 2018] (cross-list from hep-ph)
Semileptonic decay of $B_{c}^{-}$ into $X (3930)$ , $X (3940)$ , $X (4160)$
Natsumi Ikeno🇯🇵 · Melahat Bayar🇹🇷 · Eulogio Oset🇪🇸
We study the semileptonic decay of $B_{c}^{-}$ meson into $ν ˉ l^{-}$ and the isospin zero $X (3930) (2^{++})$ , $X (3940) (0^{++})$ , $X (4160) (2^{++})$ resonances. We look at the reaction from the perspective that these resonaces appear as dynamically generated from the vector-vector interaction in the charm sector, and couple strongly to $D^{*} D^{*} ˉ$ and $D_{s}^{*} D_{s}^{*} ˉ$ . We also look into the $B_{c}^{-} \to ν ˉ_{l} l^{-} D^{*} D^{*} ˉ$ and $B_{c}^{-} \to ν ˉ_{l} l^{-} D_{s}^{*} D_{s}^{*} ˉ$ reactions close to threshold and relate the $D^{*} D^{*} ˉ$ and $D_{s}^{*} D_{s}^{*} ˉ$ mass distribution to the rate of production of the $X$ resonances.
Comments:
7 pages, 9 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
1803.11226 [pdf]
EPJC(2018)·5 citations
10
[Submitted on 30 Mar 2018] (cross-list from hep-ph)
Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
Meijian Li🇺🇸 · Yang Li🇺🇸 · Pieter Maris🇺🇸 · James P. Vary🇺🇸
We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front Quantization (BLFQ) approach in a holographic basis. We study the transition form factor with both the traditional "good current" $J^{+}$ and the transverse current $J_{⊥}$ (in particular, $J^{R} = J^{x} + i J^{y}$ ). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections ( $m_{j} = 0, \pm 1$ ). We use the $m_{j} = 0$ state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wavefunctions and is more robust in practical calculations. While the $m_{j} = \pm 1$ states are also examined, transition form factors depend on subdominant components of the light-front wavefunctions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements as well as with Lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either $m_{j} = 0$ or $m_{j} = 1$ light-front wavefunctions. This consistency provides evidence for features of rotational symmetry within the model.
Comments:
17 pages, 21 figures, 1 table, submitted to Phys. Rev. D
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
1803.11519 [pdf]
PRD(2018)·47 citations

Affiliations

first authorsco-authorsvia INSPIRE

Effective-range corrections to the ground-state energy of the weakly-interacting Bose gas in two dimensions

Semileptonic decay of Bc−​ into X(3930), X(3940), X(4160)

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Affiliations

Semileptonic decay of $B_{c}^{-}$ into $X (3930)$ , $X (3940)$ , $X (4160)$

Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front