688 research outputs found
Interdimensional degeneracies for a quantum -body system in dimensions
Complete spectrum of exact interdimensional degeneracies for a quantum
-body system in -dimensions is presented by the method of generalized
spherical harmonic polynomials. In an -body system all the states with
angular momentum in dimensions are degenerate where
and are given and is an arbitrary integer if the representation
exists for the SO() group and . There is an
exceptional interdimensional degeneracy for an -body system between the
state with zero angular momentum in dimensions and the state with zero
angular momentum in dimensions.Comment: 8 pages, no figure, RevTex, Accepted by EuroPhys.Let
Efficient universal quantum computation with auxiliary Hilbert space
We propose a scheme to construct the efficient universal quantum circuit for qubit systems with the assistance of possibly available auxiliary Hilbert spaces. An elementary two-ququart gate, termed the controlled-double-NOT gate, is proposed first in ququart (four-level) systems, and its physical implementation is illustrated in the four-dimensional Hilbert spaces built by the path and polarization states of photons. Then an efficient universal quantum circuit for ququart systems is constructed using the gate and the quantum Shannon decomposition method. By introducing auxiliary two-dimensional Hilbert spaces, the universal quantum circuit for qubit systems is finally achieved using the result obtained in ququart systems with the lowest complexity
Systematic analysis of strange single heavy baryons and
Motivated by the experimental progress in the study of heavy baryons, we
investigate the mass spectra of strange single heavy baryons in the
-mode, where the relativistic quark model and the infinitesimally
shifted Gaussian basis function method are employed. It is shown that the
experimental data can be well reproduced by the predicted masses. The root mean
square radii and radial probability density distributions of the wave functions
are analyzed in detail. Meanwhile, the mass spectra allow us to successfully
construct the Regge trajectories in the plane. We also
preliminarily assign quantum numbers to the recently observed baryons,
including , , , ,
, , , ,
, , and . At last,
the spectral structure of the strange single heavy baryons is shown.
Accordingly, we predict several new baryons that might be observed in
forthcoming experiments.Comment: 27 pages, 11 figures, 8 table
Quantum four-body system in D dimensions
By the method of generalized spherical harmonic polynomials, the
Schr\"{o}dinger equation for a four-body system in -dimensional space is
reduced to the generalized radial equations where only six internal variables
are involved. The problem on separating the rotational degrees of freedom from
the internal ones for a quantum -body system in dimensions is generally
discussed.Comment: 19 pages, no figure, RevTex, Submitted to J. Math. Phy
Mass spectra of double-bottom baryons
Based on the relativistic quark model and the infinitesimally shifted
Gaussian basis function method, we investigate the mass spectra of double
bottom baryons systematically. In the -mode which appears lower in energy
than the other excited modes, we obtain the allowed quantum states and perform
a systematic study of the mass spectra of the and
families. We analyze the root mean square radii and quark radial probability
density distributions to deeply understand the structure of the heavy baryons.
Meanwhile, the mass spectra allow us to successfully construct the Regge
trajectories in the plane. We also predict the masses of the ground
states of double bottom baryons and discuss the differences between the
structures of our spectra and those from other theoretical methods. At last,
the shell structure of the double bottom baryon spectra is shown, from which
one could get a bird's-eye view of the mass spectra.Comment: 16 pages, 9 figures, 5 tables. arXiv admin note: text overlap with
arXiv:2207.0416
Mass spectra of bottom-charm baryons
In this paper, we investigate the mass spectra of bottom-charm baryons
systematically, where the relativistic quark model and the infinitesimally
shifted Gaussian basis function method are employed. Our calculation shows that
the -mode appears lower in energy than the other excited modes. According
to this feature, the allowed quantum states are selected and a systematic study
of the mass spectra for () and
() families is performed. The root mean square radii and quark
radial probability density distributions of these baryons are analyzed as well.
Next, the Regge trajectories in the plane are successfully
constructed based on the mass spectra. At last, we present the structures of
the mass spectra, and analyze the difficulty and opportunity in searching for
the ground states of bottom-charm baryons in experiment.Comment: 19 pages, 9 figures, 6 tables. arXiv admin note: text overlap with
arXiv:2210.1308
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