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 .

FROM SKYRMIONS TO THE NUCLEON-NUCLEON POTENTIAL

1992 ◽  
Vol 01 (04) ◽  
pp. 665-738 ◽  
Author(s):  
TIMOTHY S. WALHOUT ◽  
JOCHEN WAMBACH
Keyword(s):  
Numerical Simulations ◽  
Recent Work ◽  
Nucleon Nucleon ◽  
Skyrme Model ◽  
Time Dependent ◽  
Nucleon Interaction ◽  
General Introduction ◽  
Nucleon Potential ◽  
Nucleon Nucleon Interaction

Recent work on the derivation of the nucleon-nucleon potential from interacting solitons in the Skyrme model is reviewed. A general introduction to the Skyrme and extended Lagrangians is given and the quantization of the solitons of these theories is described. Results from various studies of the two-skyrmion interaction using ansätze, time-dependent numerical simulations and time-independent constrained calculations are discussed. Improvements which include intermediate deltas in these latter calculations are presented and the resulting nucleon-nucleon interaction compares well with phenomenological potentials.

The L-G Phase Transition and the Nucleon–Nucleon Interaction Potential within QHD-I Model

2003 ◽  
Vol 18 (29) ◽  
pp. 2029-2037
Author(s):  
Jin Meng ◽  
Jiarong Li ◽  
Jisheng Chen
Keyword(s):  
Phase Transition ◽  
Nuclear Matter ◽  
Interaction Potential ◽  
Yukawa Potential ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Nucleon System ◽  
Debye Mass ◽  
Dense Nuclear Matter ◽  
Nucleon Nucleon Interaction

The nucleon–nucleon interaction potential in hot/dense nuclear matter is studied within the QHD-I model. We find that a Yukawa potential, which contains attractive and repulsive terms, acting between nucleons is modified by the variation of the Debye mass. In particular, a nucleon system described by this Yukawa potential will be unbound at some critical T and μ. The critical point is very close to that of the L-G phase transition given in the literatures.

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.

Test of nucleon-nucleon interaction by polarization transfer in the three-nucleon system

1982 ◽  
Vol 110 (2) ◽  
pp. 103-106 ◽  
Author(s):  
F. Sperisen ◽  
W. Grūebler ◽  
V. Kōnig ◽  
P.A. Schmelzbach ◽  
K. Elsener ◽  
...  
Keyword(s):  
Nucleon Nucleon ◽  
Polarization Transfer ◽  
Nucleon Interaction ◽  
Nucleon System ◽  
Nucleon Nucleon Interaction

scholarly journals Antinucleon-nucleon interaction in chiral effective field theory

2018 ◽  
Vol 181 ◽  
pp. 01028 ◽  
Author(s):  
Johann Haidenbauer
Keyword(s):  
Nucleon Nucleon ◽  
Effective Field ◽  
Chiral Expansion ◽  
Scattering Data ◽  
Effective Theory ◽  
Nucleon Interaction ◽  
Chiral Effective Field Theory ◽  
Nucleon Potential ◽  
Novel Approach ◽  
Nucleon Nucleon Interaction

A study of the antinucleon-nucleon interaction within chiral effective theory is presented. This novel approach suggested by Weinberg for investigating nucleon-nucleon interaction can be adapted straightforwardly to the antinucleon-system. The antinucleon-nucleon potential is derived up to next-to-next-to-next-order in the chiral expansion. The low-energy constants associated with arising contact interactions are fixed by a fit to phase shifts and inelasticities provided by a recently published phase-shift analysis of antiproton-proton scattering data. Theachieved description of the antinucleon-nucleon amplitudes is excellent and of a qualitycomparable to the one found in case of the nucleon-nucleon interaction at the same order.

Quark degrees of freedom and nuclear matter saturation

2019 ◽  
Vol 34 (39) ◽  
pp. 1950322
Author(s):  
Marcello Baldo ◽  
Zahra Asadi Aghbolaghi ◽  
Isaac Vidaña ◽  
Mohsen Bigdeli
Keyword(s):  
Nuclear Matter ◽  
Degrees Of Freedom ◽  
Nucleon Nucleon ◽  
Meson Exchange ◽  
Nucleon Interaction ◽  
S Wave ◽  
Nucleon Potential ◽  
Quark Interaction ◽  
Exchange Processes ◽  
Nucleon Nucleon Interaction

It has been found in previous works [M. Baldo and K. Fukukawa, Phys. Rev. Lett. 113, 241501 (2014); K. Fukukawa, M. Baldo, G. F. Burgio, L. Lo Monaco and H.-J. Schulze, Phys. Rev. 92, 065802 (2015)] that the nucleon–nucleon potential of [Y. Fujiwara, M. Kohno, C. Nakamoto and Y. Suzuki Phys. Rev. C 64, 054001 (2001); Y. Fujiwara et al., Phys. Rev. C 65, 014002 (2001)] gives an accurate saturation point in symmetric nuclear matter once the three hole-line contributions are included in the Brueckner–Bethe–Goldstone expansion without the addition of three-body forces in the nuclear Hamiltonian. The potential is based on a quark model of nucleons and on the quark–quark interaction together with quark exchange processes. These features introduce an intrinsic nonlocality of the nucleon–nucleon interaction. In order to clarify the role of the quark degrees of freedom and of the nonlocality in the saturation, we perform a comparative study of this potential and the traditional meson exchange models, exemplified in the CD-Bonn potential. We find that at the Brueckner–Hartree–Fock approximation, which corresponds to the two hole-line level of approximation, the dominant modification of the nucleon–nucleon interaction with respect to CD-Bonn is incorporated in the s-wave channels, where the quark degrees of freedom should be more relevant, in particular for the short range quark exchange processes. However, when the three hole-line contribution is included, we find that the higher partial waves play a relevant role, mainly in the term that describes the effect of the medium on the off-shell propagation of the nucleon.

scholarly journals Breaking of Charge Independence of Nucleon–Nucleon Interaction and Bulk Properties of Nuclear Matter

2003 ◽  
Vol 18 (21) ◽  
pp. 3629-3636 ◽  
Author(s):  
G. H. Bordbar
Keyword(s):  
Nuclear Matter ◽  
Nucleon Nucleon ◽  
Energy Contribution ◽  
Nucleon Interaction ◽  
Bulk Properties ◽  
Nucleon Potential ◽  
Charge Independence ◽  
Charge Dependence ◽  
Nucleon Nucleon Interaction ◽  
Charge Independence Breaking

The effects of charge independence breaking of nucleon–nucleon interaction on the bulk properties of nuclear matter are investigated. Our results indicate that at high densities, the inclusion of charge dependence in the nucleon–nucleon potential affects the bulk properties of nuclear matter. However, at low densities, this effect is not considerable. It is seen that the change of our results for the nuclear matter calculations due to the breaking of the charge independence increases by increasing density. It is shown that the energy contribution of the 1S0 channel is sensitive to considering the charge dependence in the nucleon–nucleon interaction. It is indicated that the effects of charge independence breaking on the calculated equation of state of nuclear matter can be ignored.

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