nucl-th digest · May 28, 2020

[Submitted on 27 May 2020]

Neutron skin of $^{48}$ Ca consistent with experimental data on skins

Shingo Tagami · Jun Matsui · Maya Takechi · Masanobu Yahiro

[Background]: In our previous paper, we predicted $r_{skin}$ , $r_{p}$ , $r_{n}$ , $r_{m}$ for $^{40 - 60, 62, 64}$ Ca after determining the neutron dripline, using the Gogny-D1S HFB with and without the angular momentum projection (AMP). We found that effects of the AMP are small. Very lately, Tanaka {\it et al.} measured interaction cross sections $σ_{I}$ for $^{42 - 51}$ Ca, determined $r_{m}$ from the $σ_{I}$ , and deduced skin $r_{skin}$ and $r_{n}$ from the $r_{m}$ and the $r_{p} (exp)$ evaluated from the electron scattering. Comparing our results with the data, we find for $^{42 - 48}$ Ca that GHFB and GHFB+AMP reproduce the data on $r_{skin}$ , $r_{n}$ , $r_{m}$ , but not for $r_{p} (exp)$ . [Aim]: Our purpose is to determine a value of $r_{skin}^{48}$ by using GHFB+AMP and the constrained GHFB (cGHFB) in which the calculated value is fitted to $r_{p} (exp)$ . [Results]: For $^{42, 44, 46, 48}$ Ca, cGHFB hardly changes $r_{skin}$ , $r_{m}$ , $r_{n}$ calculated with GHFB+AMP, except for $r_{skin}^{48}$ . For $r_{skin}^{48}$ , the cGHFB result is $r_{skin}^{48} = 0.190$ fm, while $r_{skin}^{48} = 0.159$ fm for GHFB+AMP. We should take the upper and the lower bound of GHFB+AMP and cGHFB. The result $r_{skin}^{48} = 0.159 - 0.190$ fm consists with the $r_{skin}^{48} (σ_{I})$ and the data $r_{skin}^{48} ($ E1 $pE)$ obtained from high-resolution $E 1$ polarizability experiment ( $E 1$ pE). Using the $r_{skin}^{48}$ - $r_{skin}^{208}$ relation with strong correlation of Ref.[3], we transform the data $r_{skin}^{208}$ determined by PREX and $E 1$ pE to the corresponding values, $r_{skin}^{48} (tPREX)$ and $r_{skin}^{48} (t$ E1 $pE)$ . Our result is consistent also for $r_{skin}^{48} (tPREX)$ and $r_{skin}^{48} (t$ E1 $pE)$ .

Subjects:: Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:: 2005.13197 [pdf]

6 citations

Thursday·May 28, 2020

Quasiparticle properties of a single alpha particle in cold neutron matter

Neutron skin of $^{48}$ Ca consistent with experimental data on skins

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Quasiparticle properties of a single alpha particle in cold neutron matter

Neutron skin of 48Ca consistent with experimental data on skins

Affiliations

Neutron skin of $^{48}$ Ca consistent with experimental data on skins