Journal ArticleDOI
Application of the Hyperspherical Formalism to the Trinucleon Bound State Problems
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TLDR
In this paper, a method for solving the Schrodinger equation for the ground state of any number of bosons or for the trinucleon system or α-particle is formulated in the framework of the hyperspherical harmonic expansion method.About:
This article is published in Annals of Physics.The article was published on 1980-06-01. It has received 242 citations till now. The article focuses on the topics: Many-body problem.read more
Citations
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Baryons in a relativized quark model with chromodynamics
Simon Capstick,Nathan Isgur +1 more
TL;DR: The three quark system is studied in a relativized version of the quark potential model with chromodynamics and the spectrum of baryons is described with parameters consistent with those of an analogous study of meson spectroscopy.
Journal ArticleDOI
Hyperspherical coordinate approach to atomic and other Coulombic three-body systems
TL;DR: In this article, the application of hyperspherical coordinates in a unified treatment of bound states and resonances of two-electron atomic systems and other general Coulomb three-body systems is reviewed.
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Four quark bound states
TL;DR: In this article, the authors examined the system consisting of two quarks and two antiquarks with equal or unequal masses and showed that the virtual meson-meson components of the wave function can be solved by empirical or systematic variational methods.
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The potential harmonic expansion method
TL;DR: In this article, the expansion of any two-body function, in particular the 2-body potential, is given, and the matrix elements with two and three potential harmonics needed for the construction of the potential matrix are calculated.
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A three-body force model for the baryon spectrum
TL;DR: In this paper, a theoretical approach to the internal baryon structure based on three-body forces among quarks is presented, where the spin independent part of the interaction is treated using the hyperspherical harmonic formalism, leading to a level scheme reproducing qualitatively the observed pattern of the spectrum.
References
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Journal ArticleDOI
Local phenomenological nucleon-nucleon potentials
TL;DR: Hard (infinitely hard) and soft (Yukawa) core potentials have been fit to Yale and Livermore phase parameters and low-energy data as discussed by the authors, and it is found that neither the short-range behavior of the potentials nor the central-to-tensor ratio in the 3 S 1 - 3 D 1 state is well determined by the data.
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A potential model representation of two-nucleon data below 315 MeV
T. Hamada,I.D. Johnston +1 more
TL;DR: In this article, an energy independent nucleon-nucleon potential model was proposed to represent the n-p data in a satisfactory manner for the first time, and the phase shifts predicted by the model were in fair agreement with the solutions YLAM ( T = 1) and YLAN3M (T = 0) recently found by the Yale group.
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Tertiary and general-order collisions
TL;DR: In this paper, the general formalism of scattering theory is extended to cover reactions in which more than two particles exist in the entrance or exit channels, and the behaviour of the scattering matrix in this general case is discussed at arbitrary energies, in particular near thresholds.
Journal ArticleDOI
DETERMINATION OF THE NUCLEON--NUCLEON SCATTERING MATRIX. X. (p,p) AND (n,p) ANALYSIS FROM 1 TO 450 MeV.
Journal ArticleDOI
Generalized Angular Momentum in Many-Body Collisions
TL;DR: In this article, the condition for simultaneous togetherness in a 3-body collision is expressed with the help of the 6×6 grand angular momentum tensor, Λ, whose components are Λij=(mimj)12xipj−(mjmi) 12xjpi,jΛij2 must be small.