8,362 research outputs found
Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
Based on the Bogoliubov non-ideal gas model, we discuss the energy spectrum
and phase transition of the superfluid Fermi gas of atoms with a weak
attractive interaction on the canonical noncommutative space. Because the
interaction of a BCS-type superfluid Fermi gas originates from a pair of
Fermionic quasi-particles with opposite momenta and spins, the Hamiltonian of
the Fermi gas on the noncommutative space can be described in terms of the
ordinary creation and annihilation operators related to the commutative space,
while the noncommutative effect appears only in the coefficients of the
interacting Hamiltonian. As a result, we can rigorously solve the energy
spectrum of the Fermi gas on the noncommutative space exactly following the way
adopted on the commutative space without the use of perturbation theory. In
particular, different from the previous results on the noncommutative
degenerate electron gas and superconductor where only the first order
corrections of the ground state energy level and energy gap were derived, we
obtain the nonperturbative energy spectrum for the noncommutative superfluid
Fermi gas, and find that each energy level contains a corrected factor of
cosine function of noncommutative parameters. In addition, our result shows
that the energy gap becomes narrow and the critical temperature of phase
transition from a superfluid state to an ordinary fluid state decreases when
compared with that in the commutative case
Analysis of the scalar, axialvector, vector, tensor doubly charmed tetraquark states with QCD sum rules
In this article, we construct the axialvector-diquark-axialvector-antidiquark
type currents to interpolate the scalar, axialvector, vector, tensor doubly
charmed tetraquark states, and study them with QCD sum rules systematically by
carrying out the operator product expansion up to the vacuum condensates of
dimension 10 in a consistent way, the predicted masses can be confronted to the
experimental data in the future. We can search for those doubly charmed
tetraquark states in the Okubo-Zweig-Iizuka super-allowed strong decays to the
charmed meson pairs.Comment: 23 pages, 29 figures. arXiv admin note: substantial text overlap with
arXiv:1708.0454
Masses and decay constants of the heavy tensor mesons with QCD sum rules
In this article, we calculate the contributions of the vacuum condensates up
to dimension-6 in the operator product expansion, study the masses and decay
constants of the heavy tensor mesons , ,
, using the QCD sum rules. The predicted masses
are in excellent agreement with the experimental data, while the ratios of the
decay constants
, where the exp denotes the experimental value.Comment: 13 pages, 13 figure
Analysis of the system with QCD sum rules
In this article, we construct the color singlet-singlet-singlet interpolating
current with to study the
system through QCD sum rules approach. In calculations, we
consider the contributions of the vacuum condensates up to dimension-16 and
employ the formula
to choose the
optimal energy scale of the QCD spectral density. The numerical result
indicates that there exists a resonance
state lying above the threshold to saturate the QCD sum
rules. This resonance state may be found by focusing on the channel of the decay in the future.Comment: 9 pages, 4 figure
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