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Nuclear Theory·nucl-th

Wednesday·July 27, 2016

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 01

    [Submitted on 26 Jul 2016]

    General intrinsic theory of general large QCD, SU(3) QCD, SU(2) hadron-dynamics and U(1) QED gauge field theories in general field theory and progress towards solving the nucleon spin crisis

    C. Huang🇺🇸 · Yong-Chang Huang🇨🇳 · B. H. Zhou🇺🇸

    This paper gives general intrinsic theory of general large QCD, SU(3) QCD, SU(2) hadron-dynamics and U(1) QED gauge field theories in general field theory and progress towards solving the nucleon spin crisis, i.e., presents general large QCD's inner structures, gauge invariant angular momenta and new corresponding Coulomb theorem in quark-gluon field interaction systems based on general field theory, and naturally deduces the gauge invariant spin and orbital angular momentum operators of quark and gauge fields with gauge symmetry by Noether theorem in general field theory. In the general large QCD, we discover not only the general covariant transverse and parallel conditions ( namely, non-Abelian divergence and curl ), but also that this general system has good intrinsic symmetry characteristics. Specially, this paper's generally decomposing gauge potential theory presents a new technique, it should play a votal role in future physics research. Therefore, this paper breakthroughs the some huge difficulties in the nucleon spin crisis and opens a door of researching on lots of strong interacting systems with different symmetric properties, which is popularly interesting, and keeps both the gauge invariance and their angular momentum commutation relations so that their theories are consistent. Especially, the achieved results here can be utilized to calculate the general QCD strong interactions and to give the precise predictions that can be exactly measured by current particle physics experiments due to their gauge invariant properties etc.

    Comments:
    7 pages
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1607.07810 [pdf]
    0 citations
  2. 02

    [Submitted on 26 Jul 2016]

    Manifestations of Isospin in Nearest Neighbor Spacing Distributions for the f-p Model Space

    Michael Quinonez · Arun Kingan · Larry Zamick

    The strong interactions are charge independent. If we limit ourselves to the strong interactions, we have the isospin as a good quantum number. Here we consider the lack of level repulsion of states of different isospin and how this effect manifests in nearest neighbor spacing (NNS) histograms, which provide a visual and statistical context in which to study distributions of energy level spacings. In particular, we study nucleons in the f-p model space for the nucleus Ti. We also study the effect of the Coulomb interaction on the level spacing distribution.

    Comments:
    6 pages, 5 figures, typos removed, added comparison with experiment
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1607.07836 [pdf]
    IJMPE(2017)·0 citations
  3. 03

    [Submitted on 26 Jul 2016] (cross-list from physics.atom-ph)

    Siegert State Approach to Quantum Defect Theory

    C. Hategan · R.A. Ionescu · H.H. Wolter

    The Siegert states are approached in framework of Bloch-Lane-Robson formalism for quantum collisions. The Siegert state is not described by a pole of Wigner R- matrix but rather by the equation , relating R- matrix element to decay channel logarithmic derivative . Extension of Siegert state equation to multichannel system results into replacement of channel R- matrix element by its reduced counterpart . One proves the Siegert state is a pole, , of multichannel collision matrix. The Siegert equation , ( - Rydberg channel), implies basic results of Quantum Defect Theory as Seaton's theorem, complex quantum defect, channel resonances and threshold continuity of averaged multichannel collision matrix elements.

    Subjects:
    Atomic Physics (physics.atom-ph); Nuclear Theory (nucl-th)
    arXiv:
    1607.07649 [pdf]
    Eur.Phys.J.D(2020)·1 citation
  4. 04

    [Submitted on 26 Jul 2016] (cross-list from hep-ph)

    Ultrarelativistic transverse momentum distribution of the Tsallis statistics

    A.S. Parvan🇷🇺

    The analytical expressions for the ultrarelativistic transverse momentum distributions of the Tsallis and the Tsallis- statistics were obtained. We found that the transverse momentum distribution of the Tsallis-factorized statistics, which is now largely used to describe the experimental transverse momentum spectra of hadrons measured in collisions at LHC and RHIC energies, in the ultrarelativistic case is not equivalent to the transverse momentum distributions of the Tsallis and the Tsallis- statistics. However, we revealed that this distribution exactly coincides with the transverse momentum distribution of the Tsallis- statistics in the zeroth term approximation and is transformed to the transverse momentum distribution of the Tsallis statistics in the zeroth term approximation by changing the parameter to . We demonstrated analytically on the basis of the ultrarelativistic ideal gas that the Tsallis-factorized statistics is not equivalent to the Tsallis and the Tsallis- statistics. In the present paper the Tsallis statistics corresponds to the standard expectation values.

    Comments:
    2 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1607.07670 [pdf]
    EPJA(2017)·21 citations

Affiliations

first authorsco-authorsvia INSPIRE