Momentum and frequency dependence of the self-energy in nuclear matter: A path to study the effective 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.

Download Full-text

PAIRING INTERACTION POTENTIAL WITH REALISTIC FORCE IN NEUTRON AND NUCLEAR MATTER

International Journal of Modern Physics E ◽

10.1142/s0218301306005277 ◽

2006 ◽

Vol 15 (08) ◽

pp. 1769-1777

Author(s):

CAIWAN SHEN

Keyword(s):

Nuclear Matter ◽

Interaction Potential ◽

Effective Interaction ◽

Nucleon Nucleon ◽

Pairing Interaction ◽

Nucleon Interaction ◽

Explicit Formulas ◽

Nucleon Nucleon Interaction ◽

Realistic Force

Using the realistic nucleon-nucleon interaction, we studied the pairing interaction potential for 1S0 and 3S1 channel in neutron and nuclear matter. The explicit formulas are given for the calculation. It is found that the screening using realistic force is much smaller than that using effective interaction, for instance, Gogny force or G-matrix.

Download Full-text

Nucleon-nucleon interaction in nuclear matter

Physical Review C ◽

10.1103/physrevc.16.777 ◽

1977 ◽

Vol 16 (2) ◽

pp. 777-783 ◽

Cited By ~ 1

Author(s):

Sadhan K. Adhikari ◽

H. T. Coelho ◽

F. A. Bezerra Coutinho ◽

Y. Nogami

Keyword(s):

Nuclear Matter ◽

Nucleon Nucleon ◽

Nucleon Interaction ◽

Nucleon Nucleon Interaction

Download Full-text

Quark degrees of freedom and nuclear matter saturation

Modern Physics Letters A ◽

10.1142/s021773231950322x ◽

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.

Download Full-text

Microscopìc Study of the Response of Nuclear Matter

HNPS Proceedings ◽

10.12681/hnps.2820 ◽

2020 ◽

Vol 1 ◽

pp. 11

Author(s):

E. Mavrommatis ◽

J. W. Clark

Keyword(s):

Nuclear Matter ◽

Random Phase Approximation ◽

Random Phase ◽

Nucleon Nucleon ◽

Local Version ◽

Response Functions ◽

Nucleon Interaction ◽

Pure Neutron Matter ◽

Nucleon Nucleon Interaction ◽

Nucleon Matter

The correlated random-phase approximation (CRPAj), which provides a description of the linear response and elementary excitations of nuclear matter, is summarized. The density-density response functions of symmetrical nuclear matter and pure neutron matter are calculated using a local version of CRPA1 (LCRPA) based on the v2 model nucleon-nucleon interaction. Although simple, the calculation establishes some significant qualitative trends. It constitutes a prelude to calculations of response functions of realistic nucleon matter both with CRPA1 and with theories that go beyond it.

Download Full-text