Reanalyses for 42−51Ca scattering on a 12C target at 280 MeV/nucleon based on chiral g folding mode with Gogny-D1S Hartree-Fock-Bogoliubov densities

Abstract Background: In the previous paper, we predicted reaction cross sections σ R for 40 − 60 , 62 , 64 Ca+12C scattering at 280 MeV/nucleon, using the chiral g -matrix folding model with the densities calculated with the Gogny-D1S Hartree–Fock-Bogoliubov (GHFB) with and without the angular momentum projection (AMP), since Tanaka et al. measured interaction cross sections σ I ( ≈ σ R ) for 42 − 51 Ca in RIKEN and determined neutron skin r skin ( RIKEN ) using the optical limit of the Glauber model with the Woos-Saxon densities. Purpose: Our purpose is to reanalyze the r skin from the σ I using the chiral g -matrix folding model. Our analysis is superior to theirs, since the chiral g -matrix folding model (the GHFB and GHFB+AMP densities) is much better than the optical limit of the Glauber model (the Woos-Saxon densities). Methods: Our model is the chiral g -matrix folding model with the densities scaled from the GHFB and GHFB+AMP densities. Results: We scale the GHFB and GHFB+AMP densities so that the σ R of the scaled densities can agree with the central values of σ I under the condition that the proton radius of the scaled proton density equals the data determined from the isotope shift based on the electron scattering. The r skin thus determined are close to their results r skin 42 − 51 ( RIKEN ) , except for 48Ca. For 48Ca, our value r skin 48 is 0.105 ± 0.06 fm, while their value is r m 48 ( RIKEN ) = 0 . 146 ± 0 . 06  fm. We then take the weighted mean and its error of our result r skin 48 ( σ I ) = 0 . 105 ± 0 . 06  fm and the result r skin 48 ( E 1 pE ) = 0 . 17 ± 0 . 03  fm of the high-resolution E 1 polarizability experiment (E1pE). Our final result is r skin 48 = 0 . 157 ± 0 . 027  fm. Conclusion: Our conclusion is r skin 48 = 0 . 157 ± 0 . 027  fm for 48Ca. For 42 − 47 , 49 − 51 Ca, our results on r skin are similar to theirs. Our result for 48Ca is related to CREX.