arXiv subjects

Myron Bander

Publications and source records attributed to Myron Bander.

27 records · Page 2Linked to original sources

arXiv1994

Baryons with Two Heavy Quarks as Solitons

Using the chiral soliton model and heavy quark symmetry we study baryons containing two heavy quarks. If there exists a stable (under strong interactions) meson consisting of two heavy quarks and two light ones, then we find that there always exists a state of this meson bound to a chiral soliton and to a chiral anti-soliton, corresponding to a two heavy quark baryon and a baryon containing two heavy anti-quarks and five light quarks, or a ``heptaquark".

hep-ph↗

arXiv1994

Neutrino Fluxes and Resonance Physics with Neutrino Telescopes

Expected atmospheric ${\bar ν_e}$ fluxes will result in a significant number of resonantly produced low mass hadronic vector states, as the $ρ$, in large volume neutrino telescopes. The existence of sources of higher energy neutrinos will result in the production of higher mass states, as the $D_s^*$ and the $({\bar t}b)_{J=1}$. We calculate the rates of production of these states and discuss their signals. Independent of theoretical flux determinations, the detection of these states will be a tool for experimentally determining these fluxes.

hep-ph↗

arXiv1993

On the Distribution of Neutral and Charged Pions through the Production of a Classical Pion Field

High energy reactions may produce a state around the collision point that is best described by a classical pion field. Such a field might be an isospin rotated vacuum of the chiral $σ$-model or, as discussed in this work, a solution of the equations of motion resultinng from the coupling of fields of this model to quarks produced in the collision. In such configurations all directions in isospin space are allowed leading to a sizable probability of events with, essentially, only charged particles (Centauros) or all neutral particles (anti-Centauros). (In more common statistical models of multiparticle production, the probability of such events is suppressed exponentially by the total multiplicity.) We find that the isospin violation due to the mass difference of the up and down quarks has a significant effect on these distributions and enhances the production of events consisting predominantly of neutral particles.

hep-ph↗

arXiv1993

Fields in the Vicinity of a Superconducting Cosmic String

Superconducting cosmic strings may be viewed as wires of thickness $1/Λ$ with $Λ=10^{16}$ TeV. We show that the weak interactions will spread out the current to distances $r= (1/M_Z)\ln (I/M_Z)$, where $I$ is the magnitude of the current in the string. Consequences for the scattering of light by these strings is presented.

hep-ph↗

arXiv1993

Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields

The equations of motion for the position and spin of a classical particle coupled to an external electromagnetic and gravitational potential are derived from an action principle. The constraints insuring a correct number of independent spin components are automatically satisfied. In general the spin is not Fermi-Walker transported nor does the position follow a geodesic, although the deviations are small for most situations.

hep-th↗

arXiv1992

On the 545 keV Line in the Spectrum of the Crab Nebula

The GRANAT group (R. Sunyaev {\it et al.\/}, Central Bureau of Astronomical Telegrams, International Astronomical Union, Circular No.~5481) recently reported the observation of a $(545 \pm 11)$ keV line in the spectrum of the Crab Nebula. It is tempting to associate this with the positron-electron annihilation line at 511 keV. If this line originates from some transition at the surface of the neutron star in the Crab, we expect a red shift of around 10\% rather then the observed blue shift of $\sim 35$ keV; in fact, this gravitational red shift implies that the natural frequency of the observed line is also 10\% higher, or around 600 keV. In this article we shall present a mechanism for generating such a split from 511 keV. For this mechanism to be successful we require: (a) surface magnetic fields, in the annihilation region, to be $(3-8)\times 10^{12}$~G and to point in our direction, (b) surface densities of $(10^5-10^6)$ g/cc. Both of these assumptions are consistent with pulsar models.

hep-ph↗

arXiv1992

Hadronic Instabilities in Very Intense Magnetic Fields

Composite hadronic states exhibit interesting properties in the presence of very intense magnetic fields, such as those conjectured to exist in the vicinity of certain astrophysical objects. We discuss three scenarios. (i) The presence of vector particles with anomalous magnetic moment couplings to scalar particles, induces an instability of the vacuum. (ii) A delicate interplay between the anomalous magnetic moments of the proton and neutron makes, in magnetic fields $B\ge 2\times 10^{14}$ T, the neutron stable and for fields $B\ge 5\times 10^{14}$ T the proton becomes unstable to a decay into a neutron via $β$ emission. (iii) In the unbroken chiral $σ$ model magnetic fields would be screened out as in a superconductor. It is the explicit breaking of chiral invariance that restores standard electrodynamics. Astrophysical consequences of all these phenomena are discussed.

hep-ph↗

arXiv1992

Screening of Very Intense Magnetic Fields by Chiral Symmetry Breaking

In very intense magnetic fields, $B > 1.5\times 10^{14}$ T, the breaking of the strong interaction $SU(2)\times SU(2)$ symmetry arranges itself so that instead of the neutral $σ$ field acquiring a vacuum expectation value it is the charged $π$ field that does and the magnetic field is screened. Details are presented for a magnetic field generated by a current in a wire; we show that the magnetic field is screened out to a distance $ρ_o\sim I/f_πm_π$ from the wire.

hep-ph↗

arXiv1992

Proton $β% decay in large magnetic fields

A delicate interplay between the anomalous magnetic moments of the proton and neutron makes, in magnetic fields $B\ge 2\times 10^{14}$ T, the neutron stable and for fields $B\ge 5\times 10^{14}$ T the proton becomes unstable to a decay into a neutron via $β$ emission. Limits on the field strengths for which these arguments hold are presented and are related to questions of vacuum stability in the presence of such fields. Possible astrophysical consequences are discussed.

hep-ph↗