Constraining simultaneously nuclear symmetry energy and neutron-proton effective mass splitting with nucleus giant resonances using a dynamical approach

This contribution reviews the present status on the available constraints to the nuclear equation of state (EoS) around saturation density from nuclear structure calculations on ground and collective excited state properties of atomic nuclei. It concentrates on predictions based on self-consistent mean-field calculations, which can be considered as an approximate realization of an exact energy density functional (EDF). EDFs are derived from effective interactions commonly fitted to nuclear masses, charge radii and, in many cases, also to pseudo-data such as nuclear matter properties. Although in a model dependent way, EDFs constitute nowadays a unique tool to reliably and consistently access bulk ground state and collective excited state properties of atomic nuclei along the nuclear chart as well as the EoS. For comparison, some emphasis is also given to the results obtained with the so called ab initio approaches that aim at describing the nuclear EoS based on interactions fitted to few-body data only. Bridging the existent gap between these two frameworks will be essential since it may allow to improve our understanding on the diverse phenomenology observed in nuclei. Examples on observations from astrophysical objects and processes sensitive to the nuclear EoS are also briefly discussed. As the main conclusion, the isospin dependence of the nuclear EoS around saturation density and, to a lesser extent, the nuclear matter incompressibility remain to be accurately determined. Experimental and theoretical efforts in finding and measuring observables specially sensitive to the EoS properties are of paramount importance, not only for low-energy nuclear physics but also for nuclear astrophysics applications. 7 The expression introduced by Migdal in Ref. [43] neglected the term in a AS . 8 From a macroscopic picture it would correspond to an isotropic compression. 9 From a macroscopic picture it would correspond to a non-isotropic compression. 15

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“…[3]]. A recent update [115] of Ref. [107], also taking into account nuclear excitations narrowed these values.…”

Section: Equation Of Statementioning

confidence: 98%

Nuclear equation of state from ground and collective excited state properties of nuclei

Roca-Maza

Paar

2018

Progress in Particle and Nuclear Physics

194

110

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“…where q r + s 2 , r − s 2 = r + s 2 |q| r − s 2 represents the matrix element ofq in coordinate space. By substituting Equation (53) and the inverse transform of Equation (54) into Equation 52, the expectation ofQ can be written in the form…”

Section: Nuclear Giant Resonances Within Transport Modelsmentioning

confidence: 99%

“…Recently, a low-lying mode called pygmy dipole resonance (PDR) has been observed experimentally [92][93][94][95], and this effect has already been studied based on the Vlasov equation [47]. The IVGDR [54,96,97], PDR [98,99], and electric dipole polarizability α D [100][101][102][103], which are dominated by these isovector dipole modes, provide sensitive probes to constrain the density dependence of the nuclear symmetry energy.…”

Section: Isovector Dipole Modementioning

confidence: 99%

“…However, the Skyrme pseudopotential SP6h used in the calculation overestimates the peak energy by about 1.5 MeV. Using effective interactions with a different symmetry energy slope parameter L or different nuclear effective masses can easily reproduce the correct peak energy [54]. In order to compare the shape of the strength function and the value of the width of the GDR in 208 Pb, we shift the strength function from the LBUU calculation to match the experimental peak energy.…”

Section: Spreading Width Of the Giant Dipole Resonance And Collisionamentioning

confidence: 99%

“…The literature contains many works that study nuclear giant resonances based on the pure Vlasov equation [47][48][49], the Vlasov equation with a collision relaxation time [50], and the full transport model with both the meanfield and the NN scatterings [51][52][53]. For example, based on simulations of transport models, the excitation energies of nuclear giant resonances have been used to extract information on the nuclear EOS and neutron-proton effective mass splitting [54], while the width of nuclear giant dipole resonance (GDR) has been proposed as an effective probe of the in-medium NN elastic cross-section [55]. The width of the nuclear GDR can also serve as a fingerprint of α-particle clustering configurations in nuclei [56].…”

Section: Introductionmentioning

confidence: 99%

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Nuclear Collective Dynamics in Transport Model With the Lattice Hamiltonian Method

Wang

Zhang²,

Chen

et al. 2020

Front. Phys.

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We review recent progress in studying nuclear collective dynamics by solving the Boltzmann-Uehling-Uhlenbeck (BUU) equation with the lattice Hamiltonian method, treating the collision term with the full-ensemble stochastic collision approach. This lattice BUU (LBUU) method has recently been developed and implemented with a GPU parallel computing technique, and achieves rather stable nuclear ground-state evolution and high accuracy in evaluating the nucleon-nucleon (NN) collision term. This new LBUU method has been applied to investigate nuclear isoscalar giant monopole resonances and isovector giant dipole resonances. While calculations using the LBUU method without the NN collision term (i.e., the lattice Hamiltonian Vlasov method) provide a reasonable description of the excitation energies of nuclear giant resonances, the full LBUU calculations can well reproduce the width of the giant dipole resonance of 208 Pb by including a collisional damping from NN scattering. The observed strong correlation between the width of the nuclear giant dipole resonance and the NN elastic cross-section suggests that the NN elastic scattering plays an important role in nuclear collective dynamics, and the width of the nuclear giant dipole resonance provides a good probe of the in-medium NN elastic cross-section.

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Probing neutron–proton effective mass splitting using nuclear stopping and isospin mix in heavy-ion collisions in GeV energy region

Zhang

2020

NUCL SCI TECH

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Constraining simultaneously nuclear symmetry energy and neutron-proton effective mass splitting with nucleus giant resonances using a dynamical approach

Cited by 57 publications

References 79 publications

Nuclear equation of state from ground and collective excited state properties of nuclei

Nuclear equation of state from ground and collective excited state properties of nuclei

Nuclear Collective Dynamics in Transport Model With the Lattice Hamiltonian Method

Probing neutron–proton effective mass splitting using nuclear stopping and isospin mix in heavy-ion collisions in GeV energy region

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