NONLOCALITY IN THE QUARK-MODEL INDUCED TWO-BARYON POTENTIAL

2003 ◽  
Vol 18 (02n06) ◽  
pp. 147-150
Author(s):  
SACHIKO TAKEUCHI ◽  
KIYOTAKA SHIMIZU
Keyword(s):  
Cluster Model ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Blocking Effect ◽  
Kinetic Term ◽  
Nonlocal Potential ◽  
Pauli Blocking ◽  
Incoming Wave ◽  
The One ◽  
Equivalent Local Potential

Roles of the nonlocality in the two-baryon potential derived from the quark cluster model, especially in the one from the quark Pauli-blocking effect on the kinetic term, is investigated by employing the inverse scattering problem. This effect can be understood by changing the degrees of the mixing between the incoming wave and the 0ℓ state of the inter-baryon-cluster wave function; which can be expressed by a baryon potential with high nonlocality. We look into the properties of this nonlocal potential by comparing it to the on-shell equivalent local potential. Their off-shell behaviors are very different from each other in the channels where the Pauli-blocking effect is large. The off-shell behavior of the nonlocal potential, however, seems to be simulated well when we keep the nonlocality of the potential between the 0s state and the other states.

The direct and inverse problem in Newtonian scattering

1991 ◽  
Vol 118 (1-2) ◽  
pp. 119-131 ◽  
Author(s):  
M. A. Astaburuaga ◽  
Claudio Fernández ◽  
Víctor H. Cortés
Keyword(s):  
Inverse Problem ◽  
Phase Space ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Dimensional Case ◽  
Classical Particle ◽  
Scattering Operator ◽  
One Dimensional ◽  
The One

SynopsisIn this paper we study the direct and inverse scattering problem on the phase space for a classical particle moving under the influence of a conservative force. We provide a formula for the scattering operator in the one-dimensional case and we settle the properties of the potential that can be deduced from it. We also study the question of recovering the shape of the barriers which can be seen from −∞ and ∞. An example is given showing that these barriers are not uniquely determined by the scattering operator.

NONLOCAL SEPARABLE SOLUTIONS OF THE INVERSE SCATTERING PROBLEM

1993 ◽  
Vol 08 (18) ◽  
pp. 3163-3184 ◽  
Author(s):  
TONY GHERGHETTA ◽  
YOICHIRO NAMBU
Keyword(s):  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Bound State ◽  
Separable Potential ◽  
Nonlocal Potential ◽  
S Wave ◽  
Weakly Bound ◽  
Square Well ◽  
Nonlocal Separable Potential

We extend the nonlocal separable potential solutions of Gourdin and Martin for the inverse scattering problem to the case where sin δ0 has more than N zeroes, δ0 being the s-wave scattering phase shift and δ0(0) − δ0(∞) = Nπ. As an example we construct the solution for the particular case of 4 He and show how to incorporate a weakly bound state. Using a local square well potential chosen to mimic the real 4 He potential, we compare the off-shell extension of the nonlocal potential solution with the exactly solvable square well. We then discuss how a nonlocal potential might be used to simplify the many-body problem of liquid 4 He .

Hybrid Newton-type methods for reconstructing sound-soft obstacles from a single far field

2016 ◽  
Vol 24 (1) ◽  
Author(s):  
Zewen Wang ◽  
Xiaoxia Li ◽  
Yun Xia
Keyword(s):  
Newton Method ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Field Pattern ◽  
Far Field ◽  
Newton Iterations ◽  
The One ◽  
Far Field Pattern ◽  
Quasi Newton ◽  
Multiple Obstacles

AbstractThe inverse scattering problem considered in this paper is to reconstruct multiple sound-soft obstacles from one incident wave and its far field pattern. Based on the ideas of the Kirsch–Kress method and the hybrid Newton method, three variant Newton-type methods are developed for reconstructing the shape of multiple obstacles. The proposed hybrid Newton-type methods I and II can choose auxiliary curves adaptively, and do not require them to be contained in the unknown multiple obstacles. The proposed hybrid Newton-type method III is simpler than the hybrid Newton method developed by Kress in terms of computational complexity since it adopts quasi-Newton iterations in numerical reconstructions. Results of numerical examples show that the proposed methods, especially the one with both adaptively choosing auxiliary curves and quasi-Newton iterations, are more efficient and stable for reconstructing multiple obstacles.

scholarly journals Local and Nonlocal Potentials for Low Energy Pion-Nucleon Scattering

1977 ◽  
Vol 30 (4) ◽  
pp. 369
Author(s):  
E Clayton ◽  
JL Cook ◽  
EK Rose
Keyword(s):  
Ground State ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Low Energy ◽  
Nonlocal Potential ◽  
Nucleon Scattering ◽  
Incident Pion ◽  
Reaction Matrix ◽  
Pion Nucleon ◽  
Nonlocal Potentials

Local and nonlocal potentials have been evaluated using the reaction matrix approach to the inverse scattering problem for low energy pion-nucleon scattering. The nonlocal potential gave the oorrect position for the Pll ground state nucleon mass, but the local potential did not. Incident pion energies up to 700 MeV were considered.

scholarly journals A Finite-Difference Approach for Plasma Microwave Imaging Profilometry

2019 ◽  
Vol 5 (8) ◽  
pp. 70 ◽  
Author(s):  
Loreto Di Donato ◽  
David Mascali ◽  
Andrea F. Morabito ◽  
Gino Sorbello
Keyword(s):  
Finite Difference ◽  
Effective Means ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Microwave Imaging ◽  
Angle Of Incidence ◽  
Plasma Reactors ◽  
Plasma Parameters ◽  
Ill Posed ◽  
The One

Plasma diagnostics is a topic of great interest in the physics and engineering community because the monitoring of plasma parameters plays a fundamental role in the development and optimization of plasma reactors. Towards this aim, microwave diagnostics, such as reflectometric, interferometric, and polarimetric techniques, can represent effective means. Besides the above, microwave imaging profilometry (MIP) may allow the obtaining of tomographic, i.e., volumetric, information of plasma that could overcome some intrinsic limitations of the standard non-invasive diagnostic approaches. However, pursuing MIP is not an easy task due to plasma’s electromagnetic features, which strongly depend on the working frequency, angle of incidence, polarization, etc., as well as on the need for making diagnostics in both large (meter-sized) and small (centimeter-sized) reactors. Furthermore, these latter represent extremely harsh environments, wherein different systems and equipment need to coexist to guarantee their functionality. Specifically, MIP entails solution of an inverse scattering problem, which is non-linear and ill-posed, and, in addition, in the one-dimensional case, is also severely limited in terms of achievable reconstruction accuracy and resolution. In this contribution, we address microwave inverse profiling of plasma assuming a high-frequency probing regime when magnetically confined plasma can be approximated as both an isotropic and weak penetrable medium. To this aim, we adopt a finite-difference frequency-domain (FDFD) formulation which allows dealing with non-homogeneous backgrounds introduced by unavoidable presence of plasma reactors.

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