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.

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 .

scholarly journals Probing Time-Dependent Fundamental Constants with Nucleosynthesis in Population III Stars

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 404
Author(s):  
Kanji Mori ◽  
Ken’ichi Nomoto
Keyword(s):  
Reaction Rates ◽  
Nucleon Nucleon ◽  
Time Dependent ◽  
Fundamental Constants ◽  
Nucleon Interaction ◽  
Hydrogen Burning ◽  
Nucleon Nucleon Interaction ◽  
Population Iii Stars ◽  
Fundamental Physical ◽  
Population Iii

Variations of fundamental physical constants have been sought for many years using various astronomical objects because their discovery can be key to developing beyond-standard physics. In particular, nuclear reaction rates are sensitive to fundamental constants, so nucleosynthetic processes can be used as a probe. We calculate the evolution and nucleosynthesis of massive Population III stars with the time-dependent nucleon–nucleon interaction δ NN , which may have left traces in elemental abundances in extremely metal-poor stars. The results are compared with the abundances in the most iron-poor star that has ever been discovered, namely, SMSS J031300.36-670839.3. It is found that calcium production in Population III stars is very sensitive to variations of the triple- α reaction rate and hence δ NN . We conclude that variations of the nucleon–nucleon interaction are constrained as − 0.002 < δ NN < 0.002 at the redshift z ∼ 20 , assuming that calcium in SMSS J031300.36-670839.3 originates from hydrogen burning in a massive Population III star.

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.

Nucleon-Nucleon Interaction in the Skyrme Model

1986 ◽  
Vol 34 (6A) ◽  
pp. 533-540 ◽  
Author(s):  
Ebbe M Nyman ◽  
D-O Riska
Keyword(s):  
Nucleon Nucleon ◽  
Skyrme Model ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

scholarly journals Nucleon-nucleon interaction in the Skyrme model

2001 ◽  
Vol 63 (4) ◽  
Author(s):  
Isabela P. Cavalcante ◽  
Manoel R. Robilotta
Keyword(s):  
Nucleon Nucleon ◽  
Skyrme Model ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction
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