scholarly journals Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit

2020 ◽  
Author(s):  
Jaume Carbonell ◽  
Emiko Hiyama ◽  
Rimantas Lazauskas ◽  
Francisco Miguel Marqués
Keyword(s):  
Scattering Length ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Unitary Limit ◽  
Body System ◽  
Resonant States ◽  
Pauli Repulsion ◽  
Nucleus Scattering ◽  
Nucleon Nucleon Interaction ◽  
Three Body

We consider the evolution of the neutron-nucleus scattering length for the lightest nuclei. We show that, when increasing the number of neutrons in the target nucleus, the strong Pauli repulsion is weakened and the balance with the attractive nucleon-nucleon interaction results into a resonant virtual state in ^{18}18B. We describe ^{19}19B in terms of a ^{17}17B-nn-nn three-body system where the two-body subsystems ^{17}17B-nn and nn-nn are unbound (virtual) states close to the unitary limit. The energy of ^{19}19B ground state is well reproduced and two low-lying resonances are predicted. Their eventual link with the Efimov physics is discussed. This model can be extended to describe the recently discovered resonant states in ^{20,21}20,21B.

Semimicroscopic Optical Potential with Effective Density-Dependent Nucleon-Nucleon Interaction

1998 ◽  
Vol 07 (04) ◽  
pp. 465-483 ◽  
Author(s):  
S. M. Kravchenko ◽  
V. I. Kuprikov ◽  
A. P. Soznik
Keyword(s):  
Optical Potential ◽  
Particle Density ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Potential Influence ◽  
Density Dependent ◽  
Nucleus Scattering ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

An expression for the optical potential is obtained in the nuclear matter approximation while taking into account the rearrangement potential for the generalized two-particle density-dependent Skyrme forces. The rearrangement potential influence on the nucleon-nucleus scattering is investigated. It is shown that two- and three-particle Skyrme forces are not equivalent in calculating the imaginary part of the optical potential. The intensity of the optical potential (both its real and imaginary parts) appears to be decreased considerably when the rearrangement potential is taken into account. As a result the dependence of scattering phase shifts on the incident nucleons energy is changed markedly.

scholarly journals RESEARCH OF THE THERMONUCLEAR REACTIONS WITH THE FORMATION OF 7Be NUCLEUS IN THE CLUSTER APPROXIMATION

2020 ◽  
Vol 72 (4) ◽  
pp. 117-122
Author(s):  
V.O. Kurmangaliуeva ◽  
◽  
A.D. Duisenbaу ◽  
N.S. Askar ◽  
S.A. Zharilkassimova ◽  
...  
Keyword(s):  
Nuclear Physics ◽  
Cluster Model ◽  
Nucleon Nucleon ◽  
Cluster Approximation ◽  
Nucleon Interaction ◽  
Algebraic Version ◽  
Thermonuclear Reactions ◽  
Resonant States ◽  
Nucleon Nucleon Interaction ◽  
Theoretical Results

Research of thermonuclear reactions is a great interest to modern nuclear physics. In this connection, in this work, we investigated one of the main reactions of the pp-cycle within the framework of the cluster model. For calculations, we used one of the methods of the cluster model, namely, the algebraic version of the method of resonating groups in which the studied reaction of scattering of an alpha particle with 3He was disassembled and presented in the form of two interacting clusters. The modified Hasegawa-Nagata potential was also used, which describes the behavior of the nucleon-nucleon interaction. The aim of the research is to identify common patterns in coupled and resonant states. The main theoretical calculation of the studied resonance and coupled states was carried out using a special program "2cl_SpectrPhases.exe". The obtained theoretical results were compared with experimental data.

scholarly journals Short range nucleon correlations studied with electron and photon probes

2020 ◽  
Author(s):  
Ian MacGregor
Keyword(s):  
Nuclear Physics ◽  
Short Range ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Nucleon Emission ◽  
Group A ◽  
Three Body ◽  
The University ◽  
Electron And Photon

This paper reviews experimental research into two- and three-body nucleon-nucleon interactions, carried out by the University of Glasgow Nuclear Physics research group. A key aim of these studies has been to elucidate the role of short-range nucleon-nucleon correlations (SRC). Studies of photon-induced two- and three-nucleon emission reactions from a range of light nuclei, carried out at the 840 MeV Mainz electron microtron MAMI-B, have provided detailed information on the contributing mechanisms. More recent electron scattering studies at the 6.0 GeV Jefferson Laboratory have probed SRC at high values of Q^{2}2 and x_{B}B and suggested a connection between SRC and the EMC effect.

NUCLEON-NUCLEON CROSS SECTIONS IN ISOSPIN ASYMMETRIC NUCLEAR MATTER

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1788-1793
Author(s):  
HONGFEI ZHANG ◽  
JIANMIN DONG ◽  
WEI ZUO ◽  
UMBERTO LOMBARDO
Keyword(s):  
Nuclear Matter ◽  
Cross Sections ◽  
Nucleon Nucleon ◽  
Density Region ◽  
Proton Proton ◽  
Asymmetric Nuclear Matter ◽  
Hartree Fock ◽  
Nucleon Nucleon Interaction ◽  
Three Body ◽  
Neutron Cross Sections

The in medium nucleon-nucleon (NN) cross sections in isospin asymmetric nuclear matter at various densities are investigated in the framework of Brueckner-Hartree-Fock theory with the Bonn B two-body nucleon-nucleon interaction supplemented with a new version microscopic three-body force (TBF). The TBF depresses the amplitude of cross sections at high density region. At low densities, the proton-proton and neutron-neutron cross sections decrease while the proton-neutron one increases as the asymmetry increases. But the sensitivity of the NN cross sections to the isospin asymmetry are reduced with the increasing density.

The Nuclear Three Body Problem with Phase Equivalent Separable Interactions

1975 ◽  
Vol 53 (18) ◽  
pp. 1749-1763 ◽  
Author(s):  
N. J. McGurk ◽  
H. Fiedeldey
Keyword(s):  
Binding Energy ◽  
Scattering Length ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Triton Binding Energy ◽  
Nucleon Interaction ◽  
Global Features ◽  
Nucleon Nucleon Interaction

The triton ground state energy and the neutron–deuteron doublet scattering length have been calculated with two families of phase equivalent separable interactions in the 1S0 and 3S1–3D1 states of the nucleon–nucleon interaction. Generating the interactions from a solution of the inverse scattering problem, a separable representation of the nucleon–nucleon interaction is fully exploited to fit the scattering and bound state data as well as possible. Off shell constraints on the interactions are then discussed. Results for the three nucleon quantities are compared to those obtained with realistic local and one boson exchange potentials. It is shown that all results for potentials obeying the known off shell constraints lie on the Phillips band, which appears to be independent of the potential model employed. This is a consequence of the fact that the triton binding energy and doublet scattering length are only sensitive to the broad detail of the nucleon–nucleon S matrix in the 1S0 and 3S1–3D1 states and to certain global features of the residues at the singlet deuteron and deuteron poles. Relatively large off shell variations in the triton binding energy and doublet scattering length along this Phillips band are possible and the plausibility that the experimental values could be fitted is discussed.

scholarly journals Study of the Ground-State Energies of Some Nuclei Using Hybrid Model

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
R. Hussien ◽  
Sh. M. Sewailem ◽  
L. I. Abou-Salem
Keyword(s):  
Hybrid Model ◽  
Ground State ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Exchange Potential ◽  
Small Scale ◽  
Quark Interaction ◽  
Nucleon Nucleon Interaction ◽  
The One ◽  
Ground State Energies

The quark-quark (QQ) interaction as a perturbed term to the nucleon-nucleon interaction (NN) without any coupling between them is studied in a hybrid model. This model is used to calculate the ground-state energies of 2H1 and 4He2 nuclei. In a semirelativistic framework, this model is encouraged for light nuclei and the instanton-induced interaction by using the QQ potential and the NN interaction for a small scale around the hadron boundaries. This hybrid model depends on two theories, the one-boson exchange potential (OBEP) and the Cornell-dressed potential (CDP) for QQ. A small effect of quark-quark interaction is obtained on the values of the ground-state energies, around 6.7 and 1.2 percentage for 2H1 and 4He2, respectively nuclei.

scholarly journals Stability of $\alpha$-chain states against disintegrations

2019 ◽  
Vol 2019 (6) ◽  
Author(s):  
Akihiro Tohsaki ◽  
Naoyuki Itagaki
Keyword(s):  
Cluster State ◽  
Alpha Decay ◽  
Pauli Principle ◽  
Nucleon Nucleon ◽  
Alpha Chain ◽  
Saturation Properties ◽  
Nucleon Nucleon Interaction ◽  
Three Body ◽  
Alpha Cluster ◽  
Alpha Scattering

Abstract We focus on the raison d’être of the $\alpha$-chain states on the basis of the fully microscopic framework, where the Pauli principle among all the nucleons is fully taken into account. Our purpose is to find the limiting number of $\alpha$ clusters on which the linear $\alpha$-cluster state can stably exist. How many $\alpha$ clusters can stably make an $\alpha$-chain state? We examine the properties of equally separated $\alpha$ clusters on a straight line and compare its stability with that on a circle. We also confirm its stability in terms of binary and ternary disintegrations including $\alpha$-decay and fission modes. For the effective nucleon–nucleon interaction we employ the F1 force, which has finite-range three-body terms and guarantees overall saturation properties of nuclei. This interaction also gives a reasonable binding energy and size of the $\alpha$ particle, and the $\alpha$–$\alpha$ scattering phase shift. The result astonishes us because we can point out the possible existence of $\alpha$-chain states with vast numbers of $\alpha$ clusters.

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