Difference between revisions of "Final Look"
(New page: 1200px) |
|||
(36 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
− | [[Image: | + | Error estimate based on previous analysis using standard solid polarized targets results indicated in first write-up |
+ | based on an asymmetry A<sub>zz</sub> <br> | ||
+ | |||
+ | [[Image:Azz_form.png|180px]] | ||
+ | |||
+ | with an absolute systematic uncertainty estimated from, | ||
+ | |||
+ | [[Image:Azz_sys.png|400px]] | ||
+ | |||
+ | To obtain tensor polarization by optimizing vector polarization we expect a tensor polarization of | ||
+ | P<sub>zz</sub>=2-(4-3P<sup>2</sup>)<sup>1/2</sup> assuming a Boltzman distribution at thermal equilibrium. <br> | ||
+ | |||
+ | But not at thermal equilibrium under experiment (trying not to under estimate error)<br> | ||
+ | Analytic relation not applicable for tensor Optimization (hole burning)<br> | ||
+ | |||
+ | General limitations for all tensor polarized experiments to keep in mind: <br> | ||
+ | 1.) Ideal P<sub>zz</sub> =2.5%-5% <br> | ||
+ | 2.) Vector Optimized P<sub>zz</sub> =6.5%-12% <br> | ||
+ | 3.) Tensor Optimized P<sub>zz</sub> =15%-25% <br> | ||
+ | 4.) Negative tensor polarization not yet achieved without hole burning (very unstable) <br> | ||
+ | |||
+ | |||
+ | |||
+ | Best estimates for Cumulative Absolute Uncertainty (still just an estimate) <br> | ||
+ | |||
+ | [[Image:sys_error.png|700px]]<br> | ||
+ | (No estimate included for background contamination or small coherent length nuclear effects) <br> | ||
+ | The structure of the ground state wave function in nuclei at small interparticle distance is still an | ||
+ | unsolved problem which with the right experiment could be investigated. | ||
+ | |||
+ | |||
+ | What about other observables? | ||
+ | |||
+ | Still lots of experimental possibilities with tensor polarization: <br> | ||
+ | 1.) Cross section or Asymmetry (A<sub>xx</sub>) based on positive Vector Optimized only "[http://www.jlab.org/exp_prog/proposals/97/PR97-102.pdf]"<br> | ||
+ | 2.) Electrodisintegration "[http://dspace.mit.edu/handle/1721.1/34390]" <br> | ||
+ | 3.) Photodisintegration "[http://iopscience.iop.org/1742-6596/295/1/012106/pdf/1742-6596_295_1_012106.pdf]" <br> | ||
+ | 4.) photoproduction "[http://iopscience.iop.org/1742-6596/295/1/012115/pdf/1742-6596_295_1_012115.pdf]" <br> | ||
+ | 4.) Tensor Polarized Beam of deuterons "[http://www.jlab.org/div_dept/admin/publications/papers/00/R00-02.PDF]" <br> | ||
+ | 5.) b1 extraction using vector polarization alone <br> | ||
+ | |||
+ | |||
+ | Keep in mind that optimization in tensor polarization can lead to P=0 for other materials but not ND<sub>3</sub>. This can | ||
+ | be considered for photon experiments.<br> | ||
+ | |||
+ | Optimal tensor polarization achieved with deuterated 1,2-ethanediol, (CD<sub>2</sub>OH)<sub>2</sub>, at 0.12 K in a magnetic field of 25 kG. | ||
+ | |||
+ | Need to figure out what is interesting theoretically and not yet done... |
Latest revision as of 17:05, 17 April 2013
Error estimate based on previous analysis using standard solid polarized targets results indicated in first write-up
based on an asymmetry Azz
with an absolute systematic uncertainty estimated from,
To obtain tensor polarization by optimizing vector polarization we expect a tensor polarization of
Pzz=2-(4-3P2)1/2 assuming a Boltzman distribution at thermal equilibrium.
But not at thermal equilibrium under experiment (trying not to under estimate error)
Analytic relation not applicable for tensor Optimization (hole burning)
General limitations for all tensor polarized experiments to keep in mind:
1.) Ideal Pzz =2.5%-5%
2.) Vector Optimized Pzz =6.5%-12%
3.) Tensor Optimized Pzz =15%-25%
4.) Negative tensor polarization not yet achieved without hole burning (very unstable)
Best estimates for Cumulative Absolute Uncertainty (still just an estimate)
(No estimate included for background contamination or small coherent length nuclear effects)
The structure of the ground state wave function in nuclei at small interparticle distance is still an
unsolved problem which with the right experiment could be investigated.
What about other observables?
Still lots of experimental possibilities with tensor polarization:
1.) Cross section or Asymmetry (Axx) based on positive Vector Optimized only "[1]"
2.) Electrodisintegration "[2]"
3.) Photodisintegration "[3]"
4.) photoproduction "[4]"
4.) Tensor Polarized Beam of deuterons "[5]"
5.) b1 extraction using vector polarization alone
Keep in mind that optimization in tensor polarization can lead to P=0 for other materials but not ND3. This can
be considered for photon experiments.
Optimal tensor polarization achieved with deuterated 1,2-ethanediol, (CD2OH)2, at 0.12 K in a magnetic field of 25 kG.
Need to figure out what is interesting theoretically and not yet done...