Deficit of reactor antineutrinos at distances smaller than 100 m and inverse beta-decay

Abstract

We analyse a change of a deficit of reactor antineutrinos at distances smaller than 100 m by changing the lifetime of the neutron from tau_n = 885.7 s to tau_n = 879.6 s, calculated for the axial coupling constants lambda = - 1.2694 and lambda = - 1.2750, respectively, in order to get a result corresponding the new world average value tau_n = 880.1(1.1) s. We calculate the angular distribution and cross section for the inverse beta-decay, taking into account the contributions of the "weak magnetism" and the neutron recoil to next-to-leading order in the large baryon mass expansion and the radiative corrections of order alpha/\pi ~ 10^(-3), calculated to leading order in the large baryon mass expansion. We obtain an increase of a deficit of reactor antineutrinos in of about 0.734%.

Comments: 28 pages, 5 figures, The paper is revised. We have fixed the origin of the discrepancy between radiative corrections to the correlation coefficient B, calculated in our paper and by Fukugita and Kubota Ref.[10] and Raha, Myhrer and Kudobera Ref.[11]. In the revised version our results agree with the results obtained in Refs.[10,11]. We ask to apologize us for our hurried critique