Multiplets are as follows:

- In the following P_1 and P_2 are reflections, R is a 90° rotation, and E is the identity.
- Note that: P_2 = P_1 R^2 and R^2 = P_1 P_2.
- A blank means that the state remains indefinite under the associated symmetry.

group | Multiplet number element | 0 19 20 21 22 23 24 25 26 ---------|--------------------------------------------- E | 1 1 1 1 1 1 1 1 1 P_1 | P_2 | z^2 z^6 R^2 | z^6 z^2 z^2 z^6 | P_1 R | z^2 z^6 R | z^7 z z^5 z^3 R^3 | z^5 z^3 z^7 z P_1 R^3 | ------------------------------------------------------- J_z | 1/2 -1/2 3/2 -3/2 where z = exp(i pi/4) The multiplets have the following use: 23 P_perp = (c,0), P_2 = +1 24 P_perp = (c,0), P_2 = -1 25 P_perp = (c,c), P_1 R = +1 26 P_perp = (c,c), P_1 R = -1Starting couplings are from the

- First result: lll_01.out (pretty stinky) Wrong glue couplings.
- Try again: lll_02.out (still pretty bad) Wrong glue couplings.
- It looks like we were using the wrong mass shifts.
Try mass shifts based only on particle truncation minus
number of particles in the state.
lll_03.out
There are two possible truncations, here are raw results for an ordinary truncation and raw results for truncation on each leg. In the ordinary truncation, mass shifts are assigned based on the distance from the truncation. For the truncation on each leg, mass shifts are based on the number of particles in that leg.

- Try again with different starting couplings:
blll_04.out (rerunning on cluster).
Raw data output for the delta:
`J`=1/2 and_{z}`J`=3/2. Raw data output for the nucleon:_{z}`J`=1/2 and_{z}`J`=3/2._{z}

This work is supported by
NSF grant PHY-0200060.

E-mail: bvds@pitt.edu |