scholarly journals Renormalization of Chiral Nuclear Forces with Multiple Subtractions in Peripheral Channels

2017 ◽  
Vol 2017 ◽  
pp. 1-15 ◽  
Author(s):  
E. F. Batista ◽  
S. Szpigel ◽  
V. S. Timóteo
Keyword(s):  
Phase Shifts ◽  
Renormalization Scale ◽  
Nuclear Forces ◽  
Nucleon Interaction ◽  
Subtraction Point ◽  
Low Energies

We analyse the renormalization of the of two-nucleon interaction with multiple subtractions in peripheral waves considering two chiral forces at N3LO. Phase shifts at low energies are then computed with several subtraction points below μ=10 fm−1. We show that for most peripheral waves the phase shifts have nearly no dependence on the renormalization scale. In two cases the phase shifts converge slowly as the renormalization scale approaches μ=1 fm−1 and in one case the phase shifts presented oscillations with respect to the subtraction point μ.

scholarly journals Pion Theory of Nuclear Forces and Low EnergyP-Wave Phase Shifts

1961 ◽  
Vol 25 (3) ◽  
pp. 427-435 ◽  
Author(s):  
Shoichiro Otsuki ◽  
Mituo Taketani ◽  
Ryozo Tamagaki ◽  
Wataro Watari
Keyword(s):  
Phase Shifts ◽  
Nuclear Forces ◽  
Wave Phase

scholarly journals AMADEUS Experiment: Studies on Antikaon Interactions with Nucleons and Nuclei

2018 ◽  
Vol 46 ◽  
pp. 1860071
Author(s):  
J. Marton ◽  
K. Piscicchia
Keyword(s):  
Bound States ◽  
Experimental Studies ◽  
Drift Chamber ◽  
Kaonic Hydrogen ◽  
Nucleon Interaction ◽  
S Wave ◽  
Data Set ◽  
Electron Positron ◽  
Low Energies ◽  
Kloe Collaboration

The understanding of the low-energy strong interaction involving strangeness is a challenging topic due to resonances and predicted kaonic nuclear bound states. The K- nucleon interaction is strongly attractive at low energies verified in kaonic hydrogen studied in the SIDDHARTA experiment at the DA[Formula: see text]NE electron-positron collider of LNF-INFN (Frascati/Italy). Hyperon resonances like the elusive [Formula: see text] in the s-wave impose questions about its nature. According to theoretical studies it can be described as a dynamically generated resonance with two poles or a quasi-bound [Formula: see text]N state, which could lead to kaonic nuclear bound states (e.g. K-pp). An insight in many open facets of the antikaon interactions can be provided by the AMADEUS experiment at DA[Formula: see text]NE based on the analysis of the data collected in 2004/2005 by the KLOE collaboration, and of the dedicated data set collected in 2012 by AMADEUS in collaboration with KLOE. As a first step data from antikaon-induced reactions in the drift chamber of KLOE were analyzed and yielded new results on antikaon absorption on nuclei. Recent results of the experimental studies and an outlook to the future possibilities within AMADEUS are presented.

scholarly journals A Phenomenological Nucleon-Nucleon Interaction

1986 ◽  
Vol 39 (4) ◽  
pp. 461 ◽  
Author(s):  
L Berge ◽  
L Petris
Keyword(s):  
Elastic Scattering ◽  
Momentum Space ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Nucleon Interaction ◽  
Dependent Form ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

A phenomenological NN interaction has been developed in momentum space to fit the elastic scattering phase shifts, the deuteron properties and to saturate nuclear matter. The special features of this interaction are gaussian momentum dependent form factors and the use of only three mesons to characterise the phase shifts.

N3LO Chiral Predictions for Spin Observables in Nucleon-Deuteron Elastic Scattering at Low Energies

2016 ◽  
Vol 40 ◽  
pp. 1660069
Author(s):  
R. Skibiński ◽  
J. Golak ◽  
K. Topolnicki ◽  
H. Witała
Keyword(s):  
Leading Order ◽  
Nuclear Forces ◽  
Nucleon Force ◽  
Deuteron Scattering ◽  
Nucleon Potential ◽  
Spin Observables ◽  
Low Energies ◽  
Short Range Part ◽  
Range Part ◽  
First Time

The chiral next-to-next-to-next-to leading order nuclear forces1−3 are used to obtain predictions for spin observables in elastic nucleon-deuteron scattering at E=13 MeV. The three-nucleon force is taken into account with all its complexity, including the short-range part and relativistic corrections. Presented examples of the polarization observables for elastic nucleon-deuteron scattering show visible contributions from these new structures in the three-nucleon potential which emerge for the first time at the next-to-next-to-next-to leading order. However, our results suggest that some modifications of the currently used model of the nuclear forces are necessary.

The nucleon–nucleon interaction. I. Scalar mesons

1976 ◽  
Vol 54 (3) ◽  
pp. 322-332
Author(s):  
A. Z. Capri ◽  
D. Menon ◽  
R. Teshima
Keyword(s):  
Bound States ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Variational Calculation ◽  
Coupling Constant ◽  
Nucleon Interaction ◽  
Scalar Mesons ◽  
T Matrix ◽  
Nucleon Nucleon Interaction

The two-nucleon interaction, via the exchange of scalar mesons, is examined in a nonperturbative manner. 'Schrödinger' equations are derived, and nonlocal potentials arise naturally. Both scattering and bound states are examined. A half-off-shell T matrix is obtained, and corresponding phase shifts are evaluated. In the bound state, a variational calculation is employed to determine the coupling constant.

Vacuum polarization and D-wave α−α scattering

1969 ◽  
Vol 47 (1) ◽  
pp. 113-115 ◽  
Author(s):  
Mark W. Kermode
Keyword(s):  
Cross Sections ◽  
Differential Cross ◽  
Vacuum Polarization ◽  
Center Of Mass ◽  
Phase Shifts ◽  
Differential Cross Sections ◽  
Wave Phase ◽  
Low Energies ◽  
D Wave

The D-wave phase shifts for α−α scattering at low energies are obtained from (i) new analyses of the differential cross sections and (ii) the effects of vacuum polarization. The results are −0.4° (−0.4°), −0.2° (−0.4°), +0.2° (−0.4°), −0.2° (−0.2°), and 0.3° (0.2°) for the center-of-mass energies 0.3, 0.425, 0.5, 0.75, and 1.0 MeV, respectively. It is felt that these results are significant.

scholarly journals Phase Shifts of p-3He Scattering at Low Energies

2000 ◽  
Vol 103 (1) ◽  
pp. 107-125 ◽  
Author(s):  
Y. Yoshino ◽  
V. Limkaisang ◽  
J. Nagata ◽  
H. Yoshino ◽  
M. Matsuda
Keyword(s):  
Phase Shifts ◽  
Low Energies

NegativeKMeson-Nucleon Interaction at Low Energies

1959 ◽  
Vol 2 (8) ◽  
pp. 355-357 ◽  
Author(s):  
J. C. Jackson ◽  
H. W. Wyld
Keyword(s):  
Nucleon Interaction ◽  
Low Energies

scholarly journals The WKB Method for a Complex Potential

1957 ◽  
Vol 10 (1) ◽  
pp. 110 ◽  
Author(s):  
CBO Mohr
Keyword(s):  
Complex Potential ◽  
Optical Model ◽  
Phase Shifts ◽  
Potential Well ◽  
Wkb Method ◽  
Complex Phase ◽  
Factors Affecting ◽  
Low Energies ◽  
Exact Calculations

The extension of the WKB method to a complex potential, as used in the optical "model of the nucleus, is discussed. The formula for the complex phase shifts is formally deduced, and its accuracy tested against exact calculations for a square potential well and a well with sloping sides. At low energies there occur large discrepancies; the WKB phases vary regularly with energy, whereas the exact values oscillate violently about the WKB values in a characteristic way and marked resonances occur. The factors affecting the accuracy of the method are discussed.

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