scholarly journals SIMULATION OF SYMMETRIC NUCLEI AND THE ROLE OF PAULI POTENTIAL IN BINDING ENERGIES AND RADII

2009 ◽  
Vol 18 (03) ◽  
pp. 705-719
Author(s):  
M. ÁNGELES PÉREZ-GARCÍA ◽  
K. TSUSHIMA ◽  
A. VALCARCE
Keyword(s):  
Finite Size ◽  
Mass Range ◽  
Nucleon Nucleon ◽  
Binding Energies ◽  
Many Body ◽  
Nucleon Interaction ◽  
Pauli Potential ◽  
Medium Mass ◽  
Nucleon Number ◽  
Nucleon Nucleon Interaction

It is shown that the use of a density-dependent effective Pauli potential together with a generic nucleon–nucleon interaction potential plays a crucial role to reproduce not only the binding energies but also the matter root mean square radii of medium mass range spin–isospin saturated nuclei. This study is performed with a semiclassical Monte Carlo many-body simulation within the context of a simplified nucleon–nucleon interaction to focus on the effect of the genuine correlations due to the fermionic nature of nucleons. The procedure obtained is rather robust and it does not depend on the detailed features of the nucleon–nucleon interaction. For nuclei below saturation the density dependence may be represented in terms either of the nucleon number, A, or the associated Fermi momenta. When testing the simulation procedure for idealized "infinite" symmetric nuclear matter within the corresponding range of densities, we find that, beyond the low particle number limit, finite size effects do not affect the Pauli potential strength parametrization.

scholarly journals Nuclear response at zero and finite temperature

2019 ◽  
Vol 223 ◽  
pp. 01033
Author(s):  
Elena Litvinova ◽  
Peter Schuck ◽  
Herlik Wibowo
Keyword(s):  
Finite Temperature ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Medium Mass ◽  
Recent Developments ◽  
Nucleon Nucleon Interaction ◽  
Energy Dependent ◽  
Finite Nuclei ◽  
Nuclear Response

We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time propagators of the particle-hole type, which describe the response of finite nuclei to external probes without nucleon transfer. The general theory is formulated in terms of the equation of motion method for these propagators with the only input from the bare nucleon-nucleon interaction. The numerical implementation was performed on the basis of the effective mason-nucleon Lagrangian in order to study the energy-dependent kernels of different complexity. The finite-temperature extension of the theory with ph ⊗ phonon configurations is applied to a study of the multipole response of medium-mass nuclei.

Evaluation of Effective Nucleon-Nucleon Potential and Description of α-Cluster Type Nuclei in Restricted Dynamics Approach

1997 ◽  
Vol 06 (03) ◽  
pp. 341-390 ◽  
Author(s):  
J. Tambergs ◽  
J. Ruža ◽  
T. Krasta ◽  
J. A. Castilho Alcarás ◽  
O. Katkevičius
Keyword(s):  
Transition Probabilities ◽  
Electric Quadrupole ◽  
Nucleon Nucleon ◽  
Binding Energies ◽  
Dynamics Model ◽  
Nucleon Interaction ◽  
Nucleon System ◽  
Nucleon Potential ◽  
Cluster Type ◽  
Nucleon Nucleon Interaction

The application of the Restricted Dynamics Approach in nuclear theory, based on the approximate solution of many-particle Schrödinger equation, which accounts for all conservation laws in many-nucleon system, is discussed. The Strictly Restricted Dynamics Model is used for the evaluation of binding energies, level schemes, E2 and M1 transition probabilities as well as the electric quadrupole and magnetic dipole momenta of light α-cluster type nuclei in the region 4 ≤ A ≤ 40. The parameters of effective nucleon-nucleon interaction potential are evaluated from the ground state binding energies of doubly magic nuclei 4 He , 16 O and 40 Ca .

The Nucleon–Nucleon Interaction and the Nuclear Many-Body Problem

10.1142/7499 ◽  
2010 ◽  
Author(s):  
Gerald E Brown ◽  
Thomas T S Kuo ◽  
Jeremy W Holt ◽  
Sabine Lee
Keyword(s):  
Body Problem ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

The nucleon-nucleon interaction and the nuclear many-body problem

1985 ◽  
Vol 124 (1) ◽  
pp. 1-68 ◽  
Author(s):  
S.-O. Bäckman ◽  
G.E. Brown ◽  
J.A. Niskanen
Keyword(s):  
Body Problem ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

scholarly journals CHARGE DISTRIBUTION AND RADII IN CLUSTERS FROM NUCLEAR PASTA MODELS

2010 ◽  
Vol 19 (07) ◽  
pp. 1477-1489 ◽  
Author(s):  
M. ÁNGELES PÉREZ-GARCÍA
Keyword(s):  
Nucleon Nucleon ◽  
Binding Energies ◽  
Effective Density ◽  
Kinetic Term ◽  
Many Body ◽  
Model Hamiltonian ◽  
Nucleon Number ◽  
Nuclear Clusters ◽  
Nucleon Matter ◽  
Outer Crust

We study the consistency of the description of charge distributions and radii of nuclear clusters obtained with semiclassical nuclear pasta models. These nuclei are expected to exist in the low density outer crust of neutron stars. Properties of the arising clusterized nucleon matter can be compared to realistic nuclear properties as experimentally extracted on earth. We focus on non iso-symmetric light clusters with nucleon number 8 ≤ A ≤ 30 and use Monte Carlo many-body techniques. We simulate isotopic chains for a set of selected nuclei using a model Hamiltonian consisting of the usual kinetic term, hadronic nucleon nucleon (NN), Coulomb and an effective density dependent Pauli potential. It is shown that for neutron rich (deficient) clusters neutron (proton) skins develop. Different (matter, neutron, proton, electric charge) radii are computed for this set of non iso-symmetric nuclei. Nuclear binding energies are also analyzed in the isotopic chains.

SOME ASPECTS OF SHAPE PHASE TRANSITION IN EVEN-EVEN NUCLEI

2008 ◽  
Vol 17 (supp01) ◽  
pp. 352-372 ◽  
Author(s):  
YU-XIN LIU ◽  
ZHAN-FENG HOU ◽  
YU ZHANG
Keyword(s):  
Phase Transition ◽  
Pair Interaction ◽  
Nucleon Nucleon ◽  
Transition Rates ◽  
Nucleon Interaction ◽  
First Order ◽  
Effective Order ◽  
Nucleon Number ◽  
Nucleon Nucleon Interaction ◽  
Shape Phase Transition

We have reviewed the study on the signatures of shape phase transition in even-even nuclei and investigated the statistical properties of the E (5) and X (5) symmetries and their location in the Casten's triangle and the effect of some modes of nucleon-nucleon interaction on the nuclear shape phases and their transitions. We show that the ratios of the E 2 transition rates and the ratio of the energies of [Formula: see text] state and the [Formula: see text] state can serve as the effective order parameters not only identifying the nucleon number driven phase transition but also distinguishing the first order one form the second order one. Our calculations show that the states in E (5) and X (5) symmetries are almost regular ones and the X (5) symmetry may actually locate at the middle of the "AW arc" inside the Casten's triangle and the E (5) symmetry at the U (5)- O (6) chain. Our study also indicates that strong or weak monopole-pair interaction leads to a vibration or an axially oblate deformation. While quadrupole-pair and QQ interactions induce deformations. Then a complete shape phase structure of nucleus is given in a study at nucleon level.

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