Interacting Bosons in Nuclei by J.S. Dehesa, J.M.G. Gomez, J. Ros

By J.S. Dehesa, J.M.G. Gomez, J. Ros

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GV (q2 ), gM (q2 ), gA (q2 ) and gP (q2 ) are the four nucleon form factors. The axial and vector form factors were discussed above. The values gM (q2 ) and gP (q2 ) in the zero-momentum transfer limit are known as weak-magnetism and induced pseudoscalar coupling constants, respectively. For nuclear structure calculations it is necessary to reduce the nucleon current to its nonrelativistic form. We shall neglect small energy transfers between nucleons in the non-relativistic expansion. D. Vergados / Physics Reports 361 (2002) 1–56 31 with J 0 (q2 ) = gV (q2 ); Jn (q2 ) = gM (q2 )i An × q 2M + gA (q2 ) A − q An · q q2 + m2 ; (91) rn is the coordinate of the nth nucleon.

J and combine to give a total rank k. The latter combines with the leptonic currents to give an overall scalar. Clearly, some of these labels may be redundant in most cases. e. |L − S | 6 J 6 J + S. The quantum number will not be exhibited. D. Vergados / Physics Reports 361 (2002) 1–56 We will begin with operators appearing when the chiralities of the two leptonic currents involved are the same. One encounters Fermi-type operators of the form F = √ √ pe rij jL (pe Rij )[ 4 Y (rˆij ) ⊗ 4 Y (Rˆ ij )]J 2 − (i) − (j)f(rij )jl i¡j ( = l; = L; S = 0).

Transitions to the ground state Even though, we expect the nuclear matrix elements entering the light neutrino mass mechanism to be decreased by about 30%, independent of the nuclear model, with the exception of our calculation marked P in the tables, we will stick to the calculations as reported. The results thus obtained are given in Table 9. As we have seen, given the nuclear matrix elements, the lifetime is still a function of the various lepton violating parameters (see Section 2). , equal to zero) [7].

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