Nuclear Theory·nucl-th

Monday·September 2, 2019

9 papers—3 primary·6 cross-listed

01
$Ω$ -deuteron Interaction in Folding Model
Faisal Etminan🇮🇷 · Mohammad Mehdi Firoozabadi🇮🇷
A simple single folding model for $Ω$ -deuteron with maximal spin $(I) J^{P} = (0) 5/ 2^{+}$ is investigated. $Ω$ is assumed to orbit an unperturbed deuteron in a $Ω$ -deuteron potential based on a separable $Ω$ -nucleon potential from lattice QCD. We show that the effective central folding potential of $Ω d$ in the $^{5} S_{2}$ channel has a simple Wood-Saxon form, and approximate the upper bound for the binding energy of $Ω$ particle on a deuteron. In order to investigate how changes in the wave functions affect the results, we consider four analytical forms for $S$ -state deuteron wave functions, i.e., two widely used Hulthén forms, as well as the modified Reid93 and Argonne v18 forms. Our calculations of binding energy from simple two-body approximation are compared with the results reported for the three-body problem; it is confirmed that the $Ω d$ system is deeply bound. Although the single folding model reduces the three-body problem to a two-body problem, this simplification is inadequate.
nucl-th7 citations
02
$^{12} C +^{16} O$ molecular resonances at deep sub-barrier energy
Yasutaka Taniguchi · Masaaki Kimura
The existence of $^{12} C +^{16} O$ molecular resonances at sub-barrier energy has been a significant problem in nuclear astrophysics because they strongly affect the $^{12} C +^{16} O$ fusion reaction rate in type Ia supernovae and heavy stars. However, experimental surveys have been limited to 4~MeV and cannot access the deep sub-barrier energy due to a very small fusion cross section. Here we predict a couple of resonances with $J^{π} = 0^{+}$ , $2^{+}$ , and $4^{+}$ in the deep sub-barrier energy based on the antisymmetrized molecular dynamics calculation that reproduces the known resonances and low-lying spectrum of $^{28} Si$ .
nucl-thastro-ph.SRnucl-exPLB(2020)·11 citations
03
Constraints on Skyrme Equations of State from Doubly Magic Nuclei, Ab-Initio Calculations of Low-Density Neutron Matter, and Neutron Stars
C. Y. Tsang · B. A. Brown · F.J. Fattoyev · W. G. Lynch · M. B. Tsang
We use properties of doubly-magic nuclei, ab-initio calculations of low-density neutron matter, and of neutron stars to constrain the parameters of the Skyrme energy-density functional. We find all of these properties can be reproduced within a constrained family of Skyrme parameters. The maximum mass of a neutron star is found to be sensitive to the neutron effective mass. A value of [ $m_{n}^{*} / m] (ρ_{0}) = 0.60 - 0.65$ is required to obtain a maximum neutron star mass of 2.1 solar masses. Using the constrained Skyrme functional with the aforementioned effective mass, the predicted radius for a neutron star of 1.4 solar masses is 12.4(1) km and $Λ$ = 423(40).
nucl-thPRC(2019)·16 citations

Affiliations

first authorsco-authorsvia INSPIRE

Ω-deuteron Interaction in Folding Model

12C+16O molecular resonances at deep sub-barrier energy

Constraints on Skyrme Equations of State from Doubly Magic Nuclei, Ab-Initio Calculations of Low-Density Neutron Matter, and Neutron Stars

Affiliations

$Ω$ -deuteron Interaction in Folding Model

$^{12} C +^{16} O$ molecular resonances at deep sub-barrier energy