nucl-th digest · Jan 14, 2015

Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary

ℓ

States

The bound state solution of the radial Schrödinger equation with the generalized Woods-Saxon potential is carefully examined by using the Pekeris approximation for arbitrary

ℓ

states. The energy eigenvalues and the corresponding eigenfunctions are analytically obtained for different

n

and

ℓ

quantum numbers. The obtained closed forms are applied to calculate the single particle energy levels of neutron orbiting around

^{56}

Fe nucleus in order to check consistency between the analytical and Gamow code results. The analytical results are in good agreement with the results obtained by Gamow code for

ℓ = 0

Subjects:: Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
arXiv:: 1501.02948 [pdf]

Phys.Scripta(2015)·21 citations

[Submitted on 13 Jan 2015]

Subleading harmonic flows in hydrodynamic simulations of heavy ion collisions

Aleksas Mazeliauskas🇺🇸 · Derek Teaney🇺🇸

We perform a principal component analysis (PCA) of $v_{3} (p_{T})$ in event-by-event hydrodynamic simulations of Pb+Pb collisions at the Large Hadron Collider (LHC). The PCA procedure identifies two dominant contributions to the two-particle correlation function, which together capture 99.9\% of the squared variance. We find that the subleading flow (which is the largest source of flow factorization breaking in hydrodynamics) is predominantly a response to the radial excitations of a third-order eccentricity. We present a systematic study of the hydrodynamic response to these radial excitations in 2+1D viscous hydrodynamics. Finally, we construct a good geometrical predictor for the orientation angle and magnitude of the leading and subleading flows using two Fourier modes of the initial geometry.

Comments:: updated references, corrected typos, 12 pages, 14 figures
Subjects:: Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
arXiv:: 1501.03138 [pdf]

PRC(2015)·62 citations

Wednesday·January 14, 2015

Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $ℓ$ States

Subleading harmonic flows in hydrodynamic simulations of heavy ion collisions

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