Deuteron Disintegration, Neutral Currents, and Antineutrino Spectra from Fission

$$\bar v_e + d \to \bar v_e + n + p$$ at reactor energies

“…The use of two wave functions for the final state give essentially same result. In light of the discussion given above it is desirable that an improved calculation be made for this process which includes the effect of final state interac- [22] et al [21] [5] Greenwood [6] Hopkines [7] et al [8] et al [9] Gapanov and Tyutin [25] Ahrens and Lang [24] Lee [23] Ali and Dominguez [13] Singh and d Quoted by H.C. Lee [23] tions, meson exchange current effects and the effects of higher order momentum dependent terms in the nonrelativistic Hamiltonion. This estimate seems to be qualitatively in agreement with the exchange current effects calculated in a related process of p+p~d+e+v at low energies [18,19].…”

Relativistic effects in neutrino (Antineutrino) disintegration of the deuteron

“…As is already noted by Singh and Khan, the crosssection of earlier authors [1][2][3] are too large because of ignoring by them q2 term in kinematic relations. In particular, after averaging of their cross-section over reactor antineutrino spectrum one obtains the result which exceeds the experimental one [5] on a factor of about two.…”

“…-~ d3 P Mfi=-1/ f~SpSGt~so(M +l~2)Ful" 1 ' (M +2~t) F~(M-'P)} (M z _p22)(M 2 _1=,2)" (2) Here and in the following we use the metric conventions and notations of Bjorken and Orell Ell]. The notations of particles momenta are clear from …”

“…Since the matrix element does not depend on p'l and (14). The previous works [1][2][3][4] had taken into account only those terms in (14) which are proportional to 12, that is to square of the largest radial integral.…”

“…There had been several calculations of the corresponding cross section [1][2][3][4]. Recently the experimental observation of this reaction at low energies with the nuclear reactor antineutrino was made [5].…”