Reply to Comments of Dryden

Size and shape of the nuclear density distributions of20Ne and28Si from 104 MeV alpha particle scattering

“…Rms-radii and values of the deformation parameters for the nuclear density distributions are extracted, and the effect of the size of the c~ particle is demonstrated. Previous discrepancies between (p, p') and (~, 0d) results are partly removed.It has been found that the real part U R (G) of the optical potential for the elastic a-nucleus scattering can be related to the nuclear density distribution p (r) by the equation [1,2,3] U,(r~) = S p(r) Vefr (r-G) d3 r.(1) An effective a-particle-bound nucleon interaction of a simple gaussian formis found to be quite satisfactory and was derived (as approximate result) [4,5] by folding the ~ particle form factor with a nucleon-nucleon interaction which fits the low energy data. According to Bernstein [3] the value of Vo = -37 MeV and the range p = 2.0 fm.…”

Relativistic three-particle scattering equations

“…Also, there have been several numerical calculations on studies of the relativistic effect in the three-nucleon system using the AT propagator. [9][10][11][12][13] The original AT propagator was derived in the c.m. frame of the two-particle subsystem.…”

“…frame for this purpose. The three-particle relativistic propagators used in these numerical calculations [9][10][11][12][13] involve unwanted and unnecessary nonrelativistic approximations, which do not facilitate the computational task but violate constraints of relativistic unitarity and/or covariance.…”

Relativistic Three-Particle Dynamical Equations II. Application to the Trinucleon System

“…Relativistic dynamical calculations in the three-nucleon problem have been mainly restricted to the study of the three-nucleon bound state problem [7][8][9][10][11] with one exception where relativistic effect on the neutron-deuteron scattering length has been studied [12]. However, the objective of all these studies has been the same.…”

“…It is reasonable to require that all the approximate versions of the BS equation satisfy conditions of time-reversal symmetry, unitarity, and relativistic covariance. One of the approximate versions considered so far [15] and frequently used in numerical calculations [7][8][9]11] in an approximate form do not even satisfy conditions of time-reversal symmetry.…”