Journal
EUROPEAN PHYSICAL JOURNAL A
Volume 48, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1140/epja/i2012-12007-8
Keywords
-
Categories
Funding
- National Science Foundation [PHY-0645498]
- US-Department of Energy [DE-FG02-95ER-40907, DE-FG02-05ER41368]
- George Washington University
- Center for Nuclear Studies of the George Washington University
- U.S. Department of Energy (DOE) [DE-FG02-05ER41368] Funding Source: U.S. Department of Energy (DOE)
Ask authors/readers for more resources
We calculate the (parity-violating) spin-rotation angle of a polarized neutron beam through hydrogen and deuterium targets, using pionless effective field theory up to next-to-leading order. Our result is part of a program to obtain the five leading independent low-energy parameters that characterize hadronic parity violation from few-body observables in one systematic and consistent framework. The two spin-rotation angles provide independent constraints on these parameters. Our result for np spin rotation is 1/rho d phi(np)(PV)/dl = [4.5 +/- 0.5] radMeV(-1/2)(2g((3S1-3P1)) + g((3S1-1P1))) - [18.5 +/- 1.9] radMeV(-/12) (g((Delta I=0))((1S0-3P0)) - 2g((Delta I=2))((1S0-3P0)), while for nd spin rotation we obtain 1/rho d phi(np)(PV)/dl = [8.0 +/- 0.8] radMeV(-1/2) g((3S1-1P1)) + [17.0 +/- 1.7] radMeV(-1/2) g((3S1-3P1)) + [2.3 +/- 0.5] radMeV(-1/2) (3g((Delta I=0))((1S0-3P0)) - 2g((Delta I=1))((1S0-3P0)),), where the g((X-Y)), in units of MeV-3/2, are the presently unknown parameters in the leading-order parity-violating Lagrangian. Using na ive dimensional analysis to estimate the typical size of the couplings, we expect the signal for standard target densities to be |d phi PV/dl| approximate to [10(-7) ... 10(-6)]rad/m for both hydrogen and deuterium targets. We find no indication that the nd observable is enhanced compared to the np one. All results are properly renormalized. An estimate of the numerical and systematic uncertainties of our calculations indicates excellent convergence. An appendix contains the relevant partial-wave projectors of the three-nucleon system.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available