„ Theoretical issues and experimental opportunities in searches for time reversal invariance violation using neutrons ” , Dec. 6-8, 2018, Amherst MA T-violating observables in neutron decay – experimental opportunities Kazimierz Bodek Marian Smoluchowski Institute of Physics, Jagiellonian University, Krakow, Poland
2 07.12.2018 T-violating observables in neutron decay – experimental opportunities Outline T-odd correlations in neutron -decay D- and R-correlations Experiments in the past: emit, Trine and nTRV emit+Trine+nTRV together (?) BRAND Potential benefits of BRAND T-odd correlation in radiative neutron decay Challenges and strategy Conclusions
3 07.12.2018 T-violating observables in neutron decay – experimental opportunities TRV tests True TRV tests require (i) reversal of motion and (ii) exchange of initial and final states t -t (a) (b) Initial Final Initial Final Scattering, binary reaction: 3 1 1 3 2 4 4 2 In particle decay exchange of initial and final states is impossible Particle decay: 3 3 1 1 4 4 (a) ≠ (b) If interaction violates TR symmetry:
4 07.12.2018 T-violating observables in neutron decay – experimental opportunities D - and R -correlations In ordinary neutron decay, two observables are particularly interesting R < J >/ J ( p e ) D < J >/ J ( p e p ) R D D -correlation (C-odd, P-even, T-odd) J d p p m p p p p 1 D e e e e S E a b A B D e dE d d E E E J E E E E e e e e e e R -correlation (C-even, P-odd, T-odd) σ p p σ p σ J J d m p p 1 σ R e e e e e e S E b A G Q N R e dE d E J E E J E E m E e e e e e e e e e σ J d m p p 1 σ R σ p e e e S E b A N R ; e e dE d E J E E e e e e e
5 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation J.D. Jackson et al., Phys. Rev. 106, 517 (1957); J.D. Jackson et al., Nucl. Phys. 4, 206 (1957); M.E. Ebel et al., Nucl. Phys. 4, 213 (1957) For left-handed V-A interactions ( ), defining C C ' , C C ' V V A V = C A / C V , neglecting terms quadratic in C S and C T , point charge, no recoil: 5 1.2 10 D D D D FSI T T * * * Im C C Im C C C ' C ' 1 V A S T S T D 2 T 2 2 2 1 3 C C V V * * ' m 1 C C ' C C * * T T S S Re 2 * p C C 1 3 e A V 1 C C ' C C ' * * S S T T D 2sin Im S T S T ; S , T T AV 2 C C 1 3 V A VA D 0.435 sin AV T
6 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation, emit-II emiT-II (NIST): NG6 cold neutron beam Longitudinally polarized (~0.95) in the fiducial volume Compact, symmetric setup with azimuthally alternating electron- and proton-detectors Proton detectors segmented (4x4 cm 2 ) SBD, accelerating potential ~25 kV
7 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation, emit-II Acquired information e-p coincidences, ToF Electron energy (Accelerated) proton energy Isolation of D using: Symmetry of detectors Periodic neutron spin flip
8 07.12.2018 T-violating observables in neutron decay – experimental opportunities
9 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation, emit-II Result (68% C.L.) T. E. Chupp, R. L. Cooper, K. P. Coulter, S. J. Freedman, B. K. Fujikawa, A. Garcia, G. L. Jones, H. P. Mumm, J. S. Nico, A. K. Thompson, C. A. Trull, F. E. Wietfeldt, and J. F. Wilkerson, Phys. Rev. C 86 , 035505 (2012)
10 07.12.2018 T-violating observables in neutron decay – experimental opportunities curtesy of H.P. Mumm ( 10 -4 ) Most of systematic effects were MC modelled
11 07.12.2018 T-violating observables in neutron decay – experimental opportunities emiT-II+NGC
12 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation, emit-III+NGC
13 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation, Trine T. Soldner, L. Beck, C. Plonka, K. Schreckenbach, O. Zimmer, Phys. Lett. B 581 (2004) 49 Trine (ILL): PF1 cold neutron beam Longitudinally polarized (~0.97) in the fiducial volume Compact setup with planar geometry Electron- and proton-detectors in perpendicular planes Proton detectors PIN diodes on ground potential Accelerating potential: 25 kV MWPC for gamma suppression and selection of angular ranges
14 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation, Trine T. Soldner, L. Beck, C. Plonka, K. Schreckenbach, O. Zimmer, Phys. Lett. B 581 (2004) 49 Excellent S/B ratio of 23 Systematic effects and corrections
15 07.12.2018 T-violating observables in neutron decay – experimental opportunities D -correlation with ep/n + MagSpec ? e.g. G. Konrad et al., J. Phys.: Conf. Series 340 (2012) 012048 ep/n-spectrometers adiabatically coupled to n-decay channel (PERC, ANNI) Conserve particle energy and angular (polar) distributions Reconstruct p e p p using decay kinematics (?) R B NoMoS No definite plans yet (B. Maerkisch, TUM) X. Wang, G. Konrad, H. Abele, NIMA (2012) 254
16 07.12.2018 T-violating observables in neutron decay – experimental opportunities R -correlation For left-handed V-A interactions ( ), defining C C ' , C C ' V V A V = C A / C V , neglecting terms quadratic in C S and C T , point charge, no recoil: m 4 9 10 R R R R A R FSI SM T T T p e * * * * * * Im C C C ' C ' Im C C C ' C C C ' C C 1 T A T A S A S A V T V T R 4 2 T 2 2 2 1 3 C C V V m 1 Re 2 1 R FSI 2 p 1 3 e 1 2 C C ' C C ' S S T T R Im S Im T ; S , T T 2 2 C C 1 3 1 3 V A R 0.218 Im S 0.335 Im T T
17 07.12.2018 T-violating observables in neutron decay – experimental opportunities N -correlation J n P p N N is C-even, P-even and T-even e R p e p m 2 N N N N A N 7.9 10 T SM T SM T E e m 1 N Re 2 1 SM 2 E 1 3 e 1 2 C C ' ' C C S S T T N Re S Re T ; S , T T 2 2 C C 1 3 1 3 V A N 0.218Re S 0.335Re T T
18 07.12.2018 T-violating observables in neutron decay – experimental opportunities Electron spin analysis Mott scattering: Analyzing power caused by spin-orbit force Parity and time reversal conserving (electromagnetic process) Sensitive exclusively to the transverse polarization
19 07.12.2018 T-violating observables in neutron decay – experimental opportunities nTRV@PSI – Mott polarimeter Challenges: Weak and diffuse decay source Electron depolarization in multiple Coulomb scattering Low energy electrons (<783 keV) High background (n-capture) Pb-foil Pb-foil Solutions: Tracking of electrons in low- 50 cm mass, low- Z MWPCs Identification of Mott- scattering vertex (“V - track”) Frequent neutron spin flipping “foil - in” and “foil - out” scintillator MWPC scintillator measurements
20 07.12.2018 T-violating observables in neutron decay – experimental opportunities Limits on S and T contributions A. Kozela, G. Ban, A. Bialek, K. Bodek, P. Gorel, K. Kirch, St. Kistryn, O. Naviliat-Cuncic, N. Severijns, E. Stephan, and J. Zejma, Phys. Rev. C 85, 045501 (2012).
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