Parity (P) and time-reversal (T) violating effects are enhanced a million times in neutron reactions near p-wave nuclear compound resonances. Planning and interpretation of corresponding experiments require values of the matrix elements of the T,P-violating nuclear forces between nuclear compound states. We calculate the root-mean-square values and the ratio of the matrix elements of the T,P-violating and P-violating interactions using statistical theory based on the properties of chaotic compound states. We present the results in terms of the fundamental parameters in five different forms: in terms of the constants of the contact nuclear interaction, meson exchange constants, QCD θ-term, quark chromo-electric dipole momentsdu andd d , and axion interaction constants. Using current limits on these parameters, we obtain upper bounds on the ratio of the matrix elements and on the ratio of T,P-violating and P-violating parts of the neutron reaction cross sections. Our results confirm that the expected sensitivity in neutron-reactions experiments may be sufficient to improve the limits on the T,P-violating interactions.1 We omit the numerical coefficient which depends on the specific process induced by the neutron capture.arXiv:1903.08937v2 [nucl-th]