Nuclear Theory·nucl-th

Tuesday·April 26, 2016

12 papers—9 primary·3 cross-listed

10
[Submitted on 23 Apr 2016] (cross-list from cond-mat.stat-mech)
q-Gamow States for intermediate energies
A. Plastino · M. C. Rocca · D. J. Zamora
In a recent paper [Nuc. Phys. A {\bf 948}, (2016) 19] we have demonstrated the possible existence of Tsallis' q-Gamow states. Now, accelerators' experimental evidence for Tsallis' distributions has been ascertained only at very high energies. Here, instead, we develop a different set of q-Gamow states for which the associated q-Breit-Wigner distribution could easily be found at intermediate energies, for which accelerators are available at many locations. In this context, it should be strongly emphasized [Physica A {\bf 388} (2009) 601] that, empirically, one never exactly and unambiguously "detects" pure Gaussians, but rather q-Gaussians. A prediction is made via Eq.(3.30)
Comments:
14 pages, no figures
Subjects:
Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
arXiv:
1604.06910 [pdf]
NPA(2016)·4 citations
11
[Submitted on 25 Apr 2016] (cross-list from hep-ph)
Kondo phase diagram of quark matter
Shigehiro Yasui🇯🇵 · Kei Suzuki🇯🇵 · Kazunori Itakura🇯🇵
We discuss the ground state of a quark matter containing heavy quarks as impurities in a simple model which exhibits the QCD Kondo effect. The model includes a current-current interaction with the color exchange between a light quark ( $ψ$ ) and a heavy quark ( $Ψ$ ). We introduce a gap function $Δ \sim ⟨ ψ ˉ Ψ ⟩$ which represents the correlation between $ψ$ and $Ψ$ , and perform the mean-field approximation assuming that heavy quarks are uniformly distributed. Values of the gap $Δ$ measure the strength of mixing between $ψ$ and $Ψ$ . The gap equation obtained from the minimum of the thermodynamical potential together with the condition for the heavy-quark number conservation turns out to allow for nonzero values of the gap as the most stable state. We draw a phase diagram in $μ$ (the light-quark chemical potential) and $λ$ (an analog of the heavy-quark chemical potential) plane, and identify the region where the QCD Kondo effect occurs.
Comments:
13 pages, 5 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Strongly Correlated Electrons (cond-mat.str-el); Nuclear Theory (nucl-th)
arXiv:
1604.07208 [pdf]
NPA(2019)·34 citations
12
[Submitted on 25 Apr 2016] (cross-list from hep-ph)
Excitation functions of parameters in Erlang distribution, Schwinger mechanism, and Tsallis statistics in RHIC BES program
Li-Na Gao🇨🇳 · Fu-Hu Liu🇨🇳 · Roy A. Lacey🇺🇸
Experimental results of the transverse momentum distributions of phi mesons and $Ω$ hyperons produced in gold-gold (Au-Au) collisions with different centrality intervals, measured by the STAR Collaboration at different energies (7.7, 11.5, 19.6, 27, and 39 GeV) in the beam energy scan (BES) program at the relativistic heavy ion collider (RHIC), are approximately described by the single Erlang distribution and the two-component Schwinger mechanism. Meanwhile, the STAR experimental transverse momentum distributions of negatively charged particles, produced in Au-Au collisions at RHIC BES energies, are approximately described by the two-component Erlang distribution and the single Tsallis statistics. The excitation functions of free parameters are obtained from the fit to the experimental data. A weak softest point in the string tension in $Ω$ hyperon spectra is observed at 7.7 GeV.
Comments:
18 pages, 7 figures, The European Physical Journal A, accepted
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
1604.07218 [pdf]
EPJA(2016)·18 citations

Affiliations

first authorsco-authorsvia INSPIRE

q-Gamow States for intermediate energies

Kondo phase diagram of quark matter

Excitation functions of parameters in Erlang distribution, Schwinger mechanism, and Tsallis statistics in RHIC BES program

Affiliations