2,685 research outputs found
The Formation of High-Mass Black Holes in Low Mass X-ray Binaries
In this note we suggest that high-mass black holes; i.e., black holes of
several solar masses, can be formed in binaries with low-mass main-sequence
companions, provided that the hydrogen envelope of the massive star is removed
in common envelope evolution which begins only after the massive star has
finished He core burning. That is, the massive star is in the supergiant stage,
which lasts only years, so effects of mass loss by He winds are
small. Since the removal of the hydrogen envelope of the massive star occurs so
late, it evolves essentially as a single star, rather than one in a binary.
Thus, we can use evolutionary calculations of Woosley & Weaver (1995) of single
stars. We find that the black holes in transient sources can be formed from
stars with ZAMS masses in the interval 20-35\msun. The black hole mass is
only slightly smaller than the He core mass, typically \sim 7\msun.Comment: 19 pages, substantial changes, accepted in New Astronom
Evolution and Merging of Binaries with Compact Objects
In the light of recent observations in which short gamma-ray bursts are
interpreted as arising from black-hole(BH), neutron-star(NS) or NS-NS mergings
we would like to review our research on the evolution of compact binaries,
especially those containing NS's. These were carried out with predictions for
LIGO in mind, but are directly applicable to short gamma-ray bursts in the
interpretation above.
Most important in our review is that we show that the standard scenario for
evolving NS-NS binaries always ends up with a low-mass BH (LMBH), NS binary.
Bethe and Brown (1998) showed that this fate could be avoided if the two giants
in the progenitor binary burned He at the same time, and that in this way the
binary could avoid the common envelope evolution of the NS with red giant
companion which sends the first born NS into a BH in the standard scenario. The
burning of He at the same time requires, for the more massive giants such as
the progenitors of the Hulse-Taylor binary NS that the two giants be within 4%
of each other in ZAMS mass. Applying this criterion to all binaries results in
a factor 5 of LMBH-NS binaries as compared with NS-NS binaries.
Our scenario of NS-NS binaries as having been preceded by a double He-star
binary is collecting observational support in terms of the nearly equal NS
masses within a given close binary.Comment: 32 pages, 1 figure, substantial changes from v
Supernova electron capture rates for 55Co and 56Ni
We have calculated the Gamow-Teller strength distributions for the ground
states and first excited states in 55Co and 56Ni. These calculations have been
performed by shell model diagonalization in the pf shell using the KB3
interaction. The Gamow-Teller distributions are used to calculate the electron
capture rates for typical presupernova conditions. Our 55Co rate is noticeably
smaller than the presently adopted rate as it is dominated by weak low-lying
transitions rather than the strong Gamow-Teller (GT) resonance which is located
at a higher excitation energy in the daughter than usually parametrized.
Although our 56Ni rate agrees with the presently adopted rate, we do not
confirm the conventional parametrization of the GT centroid. Our results
support general trends suggested on the basis of shell model Monte Carlo
calculations.Comment: 4 pages, 4 figures, RevTeX 3.1, to appear in Phys. Lett.
The Determination of Nuclear Level Densities from Experimental Information -
A novel Information Theory based method for determining the density of states
from prior information is presented. The energy dependence of the density of
states is determined from the observed number of states per energy interval and
model calculations suggest that the method is sufficiently reliable to
calculate the thermal properties of nuclei over a reasonable temperature range.Comment: 7 pages + 6 eps figures, REVTEX 3.
Dispersive estimates for Schr\"odinger operators with point interactions in
The study of dispersive properties of Schr\"odinger operators with point
interactions is a fundamental tool for understanding the behavior of many body
quantum systems interacting with very short range potential, whose dynamics can
be approximated by non linear Schr\"odinger equations with singular
interactions. In this work we proved that, in the case of one point interaction
in , the perturbed Laplacian satisfies the same
estimates of the free Laplacian in the smaller regime . These
estimates are implied by a recent result concerning the boundedness of
the wave operators for the perturbed Laplacian. Our approach, however, is more
direct and relatively simple, and could potentially be useful to prove optimal
weighted estimates also in the regime .Comment: To appear on: "Advances in Quantum Mechanics: Contemporary Trends and
Open Problems", G. Dell'Antonio and A. Michelangeli eds., Springer-INdAM
series 201
Kepler problem in Dirac theory for a particle with position-dependent mass
Exact solution of Dirac equation for a particle whose potential energy and
mass are inversely proportional to the distance from the force centre has been
found. The bound states exist provided the length scale which appears in
the expression for the mass is smaller than the classical electron radius
. Furthermore, bound states also exist for negative values of
even in the absence of the Coulomb interaction. Quasirelativistic expansion of
the energy has been carried out, and a modified expression for the fine
structure of energy levels has been obtained. The problem of kinetic energy
operator in the Schr\"odinger equation is discussed for the case of
position-dependent mass. In particular, we have found that for highly excited
states the mutual ordering of the inverse mass and momentum operator in the
non-relativistic theory is not important.Comment: 9 page
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