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First constraint on the P-odd/T-odd cross section in polarized neutron transmission through transversely polarized $$^{139}$$La

Nakabe, Rintaro; Endo, Shunsuke   ; Kambara, Wataru*; Kawamura, Shihori; Kimura, Atsushi   ; Kobayashi, Ryuju; Oku, Takayuki   ; Okudaira, Takuya*; Sakai, Kenji ; Shinohara, Takenao   ; Takada, Shusuke*; Takahashi, Ryuta*; Takahashi, Shingo*; Tsuchikawa, Yusuke ; 16 of others*

We report the first constraint on time-reversal invariance violating (TRIV) effects in polarized neutron transmission through a transversely polarized $$^{139}$$La target. We formulate the transmission asymmetry within the density matrix formalism, explicitly incorporating the forward scattering amplitude of $$^{139}$$La including tensor polarization terms up to third-rank. The formalism is applied to existing transmission data originally obtained to measure the spin-dependent cross section near the $$0.75$$~eV $$p$$-wave resonance. Since these data were not optimized for P-odd/T-odd observables, the attainable sensitivity is intrinsically limited; nevertheless, they provide a useful test of the formalism on real experimental data. No statistically significant TRIV signal is observed. By analyzing the global $$chi^2$$ structure in the parameter space, we obtain an upper limit of $$|W_T|<15~mathrm{eV}$$ at the 90% confidence level. This corresponds to an upper limit on the resonance-averaged TRIV cross section of $$|Deltasigma_{not{T}not{P}}|<8.3times10^2~mathrm{b}$$. These results validate the present theoretical framework and provide guidance for future dedicated TRIV searches in polarized neutron transmission experiments.

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Category:Physics, Multidisciplinary

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