nucl-th digest · Jan 9, 2019

Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model

We construct nuclear matter based on an extended parity doublet model including four light nucleons

N (939)

N (1440)

N (1535)

, and

N (1650)

. We exclude some values of the chiral invariant masses by requiring the saturation properties of normal nuclear matter; saturation density, binding energy, incompressibility, and symmetry energy. We find further constraint to the chiral invariant masses from the tidal deformability determined by the observation of the gravitational waves from neutron star merger GW170817. Our result shows that the chiral invariant masses are larger than about

600

MeV. We also give some predictions on the symmetry energy and the slope parameters in the high density region, which will be measured in future experiments.

nucl-thhep-phPRC(2019)·38 citations

Description of shape coexistence in $^{96}$ Zr based on the collective quadrupole Bohr Hamiltonian

D.A. Sazonov · E.A. Kolganova · T.M. Shneidman · R.V. Jolos · N. Pietralla · W.Witt

Experimental data on $^{96}$ Zr indicate coexisting spherical and deformed structures with small mixing amplitudes. We investigate the properties of the low-lying collective states of $^{96}$ Zr based on the collective quadrupole Bohr Hamiltonian. The $β$ -dependent collective potential having two minima -- spherical and deformed, is fixed so to describe experimental data in the best way.Good agreement with the experimental data on the excitation energies, $B (E 2)$ and $B (M 1)$ reduced transition probabilities is obtained. It is shown that the low-energy structure of $^{96}$ Zr can be reproduced in a satisfactory way in the geometrical model with a potential function supporting shape coexistence. However, the excitation energy of the $2_{2}^{+}$ state can be reproduced only if the rotation inertia coefficient is taken five times smaller then the vibrational one in the region of the deformed well. It is shown also that shell effects are important for the description of the $B (M 1; 2_{2}^{+} \to 2_{1}^{+})$ value. An indication on the influence of the pairing vibrational mode on the $ρ^{2} (0_{2}^{+} \to 0_{1}^{+})$ value is obtained.

nucl-thPRC(2019)·21 citations

Wednesday·January 9, 2019

Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model

Description of shape coexistence in $^{96}$ Zr based on the collective quadrupole Bohr Hamiltonian

Affiliations

Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model

Description of shape coexistence in 96Zr based on the collective quadrupole Bohr Hamiltonian

Affiliations

Description of shape coexistence in $^{96}$ Zr based on the collective quadrupole Bohr Hamiltonian