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--- projects [2014/07/18 09:04]
bogner
+++ projects [2014/07/25 10:24]
schunck [2) HF Problem in the Full Spherical Harmonic Oscillator Basis]
@@ Line 10: / Line 10: @@
 ==== 1) HF Problem in a Truncated Model Space ====
-In a first step, we will solve the HF equations for the system of N neutrons in a trap interacting with the Minnesota potential in a restricted basis consisting of only l=0 states. This simplifies tremendously the calculation of two-body matrix elements. We broke down the problem into several simple steps that are explained in this {{HF_truncatedv2.pdf|document}}.
+In a first step, we will solve the HF equations for the system of N neutrons in a trap interacting with the Minnesota potential in a restricted basis consisting of only l=0 states. This simplifies tremendously the calculation of two-body matrix elements. We broke down the problem into several simple steps that are explained in this {{HF_truncated_v2.pdf|document}}.
 ==== 2) HF Problem in the Full Spherical Harmonic Oscillator Basis ====
-To come next week.
+Now that each group (hopefully) has a working HF code for the truncated S-wave model space model, we are ready to attack the general case. Since the generation of two-body matrix elements (TBMEs) is tedious for the general case, we have uploaded a F90 pack to do this for you, see {{:relcom2labsystem.tar.gz|here}}. We will give more explanations on how to use the code in the lectures. Finally, the following document outlines how the HF equations look in spherical symmetry for general model spaces, {{:hf_fullspherical.pdf|}}. We give below a description of what is contained in the files.
+**Single-particle files** - The single-particle files are named **spM.dat** and **spJ.dat** for the M-scheme and coupled J scheme, respectively. The first line (starting with "Legend") gives the meaning of the numbers
+  * For the M-scheme: counter    $n\     l\     2j\   2m_j\   2t_z$
+  * For the J-scheme: counter    $n\     l\     2j\   t_z\    2n+l$
+**Interaction files** - The interaction files are named **VM-scheme.dat** and **VJ-scheme.dat**, respectively (for the M-scheme and the J-scheme).
+  * For the M-scheme: $a\  b\  c\  d\  v_{abcd}$
+  * For the J-scheme: $t_z\ \pi\  2J\  a\  b\  c\  d\ v_{abcd}$
+where $\pi$ is the parity. In each case, the a, b, c, d numbers refer to the counters listed in the single-particle files.
 ==== 3) Possible Extensions for Week 3 and Later ====

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