# HULLAC

**Latest updates of HULLAC theory and applications**

The first version of HULLAC (Hebrew University Lawrence Livermore Atomic Code) dates back to the 1980’s when M. K. was professor at Hebrew University, Jerusalem, Israel, and got the support of LLNL. The concept is to generate a consistent atomic model, by using the same wave functions for computing all atomic processes relevant to plasma spectroscopy. These wave functions are obtained by solving the Dirac equation in a parametric potential [1]. The central field model enables a convenient decoupling of the angular momentum algebra [2] for all processes, including electron collisions, for which we introduced the factorization-interpolation method [3]. Recently, the whole code was re-written in a more modern way [4] and extensively checked. It now includes a collisional radiative solver with a special scaling for improved convergence, a new fit for the cross sections [5], the ability to use the mixed transition arrays (MUTA) [6], and to model the effect of an external radiation field. The latter capability was used to compare with a recent experiment on the transmission of Fe at Te=156eV [7], with excellent agreement [8]. The latest version is used by several groups, whose feedback is used to constantly improve and/or correct the code.

References

[1] M. Klapisch, Comput. Phys. Comm. 2, (1971) 239 -60.

[2] A. Bar-Shalom and M. Klapisch, Comput. Phys. Comm. 50, (1988) 375 - 93.

[3] A. Bar-Shalom, M. Klapisch, and J. Oreg, Phys. Rev. A. 38, (1988) 1773- 84.

[4] M. Klapisch, M. Busquet, and A. Bar-Shalom, AIP Conference Proceedings 926, (2007) 206-15, M. Busquet, M. Klapisch, and A. Bar-Shalom, Bull. Am. Phys. Soc.49, (2004) 114.

[5] M. Busquet, High Ener. Dens. Phys.3, (2007) 48 - 51.

[6] S. Mazevet and J. Abdallah, Jr., Phys. B.: At. Mol. Opt. 39, (2006) 3419-29.

[7] J.E. Bailey, G.A. Rochau, C.A. Iglesias, J. Abdallah, Jr, et al., PRL 99, (2007) 265002-4.

[8] M. Klapisch and M. Busquet, High Ener. Dens. Phys. 5, (2009) 105-9.