scholarly journals Relativistic Model of Hamiltonian Renormalization for Bound States and Scattering Amplitudes

2017 ◽  
pp. 191-197
Author(s):  
Kamil Serafin
Keyword(s):  
Scattering Amplitudes ◽  
Bound States ◽  
Relativistic Model

Physical properties of particles obeying generalized statistics

1955 ◽  
Vol 51 (1) ◽  
pp. 131-140 ◽  
Author(s):  
I. E. McCarthy
Keyword(s):  
Scattering Amplitudes ◽  
Physical Properties ◽  
Bound States ◽  
Statistical Thermodynamics ◽  
Vacuum Fluctuations ◽  
Thermodynamical Equilibrium ◽  
Spin Fields ◽  
Integral Spin ◽  
Number Of Particles

ABSTRACTThe Feynman probability amplitudes for interactions between spin ½ fields and fields of integral spin quantized according to the generalized method of Green are investigated. It is shown that the scattering amplitudes are independent of the method of quantization though the amplitudes of the vacuum fluctuations are not. The question of distinguishing particles satisfying the generalized statistics, if they exist in nature, from Fermi or Bose particles is considered. It is shown that the statistical thermodynamics of the particles depends on the statistics, but as this requires a large number of particles in thermodynamical equilibrium, it offers no means of distinction for particles with short lifetimes. In practice, an examination of particles in bound states would identify particles obeying generalized statistics.

scholarly journals Compact Exotic Tetraquark Mesons in Large-Nc QCD

2018 ◽  
Vol 191 ◽  
pp. 04003
Author(s):  
Wolfgang Lucha ◽  
Dmitri Melikhov ◽  
Hagop Sazdjian
Keyword(s):  
Scattering Amplitudes ◽  
Quantum Chromodynamics ◽  
Internal Consistency ◽  
Selection Criteria ◽  
Bound States ◽  
Degrees Of Freedom ◽  
Decay Rates ◽  
Meson Decay ◽  
Decay Channels ◽  
Colour Singlet

We embark on systematic explorations of the behaviour of tetraquark mesons, i.e., colour-singlet bound states of two quarks and two antiquarks, in the (idealized) limit of a large number of colour degrees of freedom, Nc,; of quantum chromodynamics, QCD. Considering the scattering of two ordinary mesons into two ordinary mesons, we start off with formulating a set of selection criteria that should enable us to unambiguously single out precisely those contributions to all encountered scattering amplitudes that potentially will develop tetraquark poles. Assuming that tetraquark mesons do exist and, if so, emerge in the contributions compatible with our criteria at largest admissible order of Nc; we deduce, for the categories of tetraquarks that exhibit either four or only two different open quark flavours, that the decay rates of these tetraquark types are, at least, of order 1/N2c and that internal consistency requires all the members of the first species to exist pairwise, distinguishable by their favoured two-ordinary-meson decay channels.

scholarly journals Charmonium resonances on the lattice

2018 ◽  
Vol 175 ◽  
pp. 05020 ◽  
Author(s):  
Gunnar Bali ◽  
Sara Collins ◽  
Daniel Mohler ◽  
M. Padmanath ◽  
Stefano Piemonte ◽  
...  
Keyword(s):  
Scattering Amplitudes ◽  
Excited States ◽  
Quark Mass ◽  
Bound States ◽  
Charm Quark ◽  
Distillation Method ◽  
Charm Quark Mass ◽  
Conventional Models ◽  
The Masses

The nature of resonances and excited states near decay thresholds is encoded in scattering amplitudes, which can be extracted from single-particle and multiparticle correlators in finite volumes. Lattice calculations have only recently reached the precision required for a reliable study of such correlators. The distillation method represents a significant improvement insofar as it simplifies quark contractions and allows one to easily extend the operator basis used to construct interpolators. We present preliminary results on charmonium bound states and resonances on the Nf = 2+1 CLS ensembles. The long term goal of our investigation is to understand the properties of the X resonances that do not fit into conventional models of quark-antiquark mesons. We tune various parameters of the distillation method and the charm quark mass. As a first result, we present the masses of the ground and excited states in the 0++ and 1−− channels

scholarly journals Antiproton–nucleus quasi-bound states within the 2009 version of the Paris N̅ N potential

2018 ◽  
Vol 181 ◽  
pp. 01007
Author(s):  
Jaroslava Hrtánková ◽  
JiřrÍ Mareš
Keyword(s):  
Scattering Amplitudes ◽  
Density Dependence ◽  
Bound States ◽  
Optical Potential ◽  
Potential Model ◽  
Binding Energies ◽  
Wave Potential ◽  
Strong Energy ◽  
Good Agreement ◽  
Rmf Model

We studied the p̅ interactions with the nuclear medium within the 2009 version of the Paris N̅ N potential model. We constructed the p̅–nucleus optical potential using the Paris S - and P-wave p̅ N scattering amplitudes and treated their strong energy and density dependence self-consistently. We considereda phenomenological P-wave term as well. We calculated p̅ binding energies and widths of the p̅ bound in various nuclei. The P-wave potential has very small effect on the calculated p̅ binding energies, however, it reduces the corresponding widths noticeably. Moreover, the S -wave potential based on the Paris amplitudes supplemented by a phenomenological P-wave term yields the p̅ binding energies and widths in very good agreement with those obtained within the RMF model consistent with p̅-atom data.

scholarly journals Behavior of Scattering Amplitudes at High Energies, Bound States, and Resonances

1962 ◽  
Vol 126 (2) ◽  
pp. 766-786 ◽  
Author(s):  
R. Blankenbecler ◽  
M. L. Goldberger
Keyword(s):  
Scattering Amplitudes ◽  
Bound States ◽  
High Energies

scholarly journals Calculations ofη-nuclear quasi-bound states in few-body systems

2019 ◽  
Vol 199 ◽  
pp. 02022
Author(s):  
M. Schäfer ◽  
N. Barnea ◽  
E. Friedman ◽  
A. Gal ◽  
J. Mareš
Keyword(s):  
Scattering Amplitudes ◽  
Variational Method ◽  
Imaginary Part ◽  
Bound States ◽  
Bound State ◽  
Stochastic Variational Method ◽  
Interaction Models ◽  
Recent Calculation ◽  
Coupled Channel ◽  
Quasi Bound State

We report on our Stochastic Variational Method (SVM) calculations ofη-nuclear quasi-bound states in s-shell nuclei as well as the very recent calculation of the p-shell nucleus6Li. TheηNpotentials used were constructed fromηNscattering amplitudes obtained within coupled-channel models that incorporateN*(1535) resonance. We found thatη6Li is bound in theηNinteraction models that yield ReaηN≥ 0.67 fm. Additional repulsion caused by the imaginary part ofηNpotentials shifts the onset ofη-nuclear binding toη4He, yielding very likely no quasi-bound state inη3He.

Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas

2018 ◽  
Vol 51 (47) ◽  
pp. 475301 ◽  
Author(s):  
Ofer Neufeld ◽  
Yonatan Sharabi ◽  
Anael Ben-Asher ◽  
Nimrod Moiseyev
Keyword(s):  
Scattering Amplitudes ◽  
Bound States

Recent Radiative and Collisional Atomic Data of Astrophysical Interest

1988 ◽  
Vol 102 ◽  
pp. 129-132
Author(s):  
K.L. Baluja ◽  
K. Butler ◽  
J. Le Bourlot ◽  
C.J. Zeippen
Keyword(s):  
Mass Production ◽  
Bound States ◽  
Physical Models ◽  
Impact Excitation ◽  
Electron Impact Excitation ◽  
Atomic Data ◽  
Isoelectronic Sequence ◽  
Astrophysical Interest ◽  
Radiative Transitions ◽  
Forbidden Transitions

SummaryUsing sophisticated computer programs and elaborate physical models, accurate radiative and collisional atomic data of astrophysical interest have been or are being calculated. The cases treated include radiative transitions between bound states in the 2p4and 2s2p5configurations of many ions in the oxygen isoelectronic sequence, the photoionisation of the ground state of neutral iron, the electron impact excitation of the fine-structure forbidden transitions within the 3p3ground configuration of CℓIII, Ar IV and K V, and the mass-production of radiative data for ions in the oxygen and fluorine isoelectronic sequences, as part of the international Opacity Project.

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