122493550
Feynman path-integral approach to the Aharonov-Bohm effect
The Aharonov-Bohm effect is investigated in the Feynman path-integral formulation of quantum mechanics. We consider an idealized situation with an electron moving in a magnetic-field-free region outside a solenoid whose radius to length ratio is very small. The nonvanishing vector potential term in the Lagrangian is written as an angular-velocity-dependent potential. In order to account for a singularity due to the presence of the solenoid itself, a periodic constraint is imposed on the path integral. The propagator can then be evaluated using the polar-coordinate methods of Peak and Inomata. It is found that the propagator has the general form $K({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}\ensuremath{'}},{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}};\ensuremath{\tau})=\ensuremath{\Sigma}{n}^{}{\ensuremath{\chi}}_{n}{K}_{n}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}\ensuremath{'}},{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}};\ensuremath{\tau})$ where the sum is taken over all classes of homotopic paths and the ${\ensuremath{\chi}}_{n}$ are a one-dimensional representation of the homotopy group. This is the form of the propagator as conjectured by Schulman.
120629215
Path-integral formulation of scattering theory: Central potentials
We consider central-potential scattering and determine a path-integral representation for the S matrix in polar coordinates. This is obtained by transforming to polar coordinates a Cartesian form of the nonrelativistic S matrix given by Campbell et al., and implementing an idea of Faddeev to obtain the appropriate asymptotic conditions. Our results are applied to scattering in an inverse-square potential to determine the correct phase shifts as well as the S matrix.
117752946
Study of neutron-induced background and its effect on the search of 0$\nu\beta\beta$ decay in $\rm^{124}Sn$
Neutron-induced background has been studied in various components of the TIN.TIN detector, which is under development for the search of Neutrinoless Double Beta Decay in $\rm^{124}Sn$. Fast neutron flux $\sim10^{6}~n~cm^{-2}s^{-1}$ covering a broad energy range ($ \sim0.1$ to $ \sim18$~MeV) was generated using $^{9}Be(p,n)^{9}B$ reaction. In addition, reactions with quasi-monoenergetic neutrons were also studied using $^{7}Li(p,n)^{7}Be$ reaction. Among the different cryogenic support structures studied, Teflon is found to be preferable compared to Torlon as there is no high energy gamma background ($E_\gamma >$ 1 MeV). Contribution of neutron-induced reactions in $\rm ^{nat, 124} $Sn from other Sn isotopes (A = 112 -- 122) in the energy region of interest, namely, around the $Q_{\beta\beta}$ of $\rm^{124}Sn$ ($E \sim$ 2.293 MeV), is also investigated.
124672413
Sum rules for the decay of the baryon decuplet into the baryon and meson octets in broken SU(3) symmetry
We have investigated the sum rules for the decuplet → octet+octet coupling constants, taking into account the SU(3)-symmetry-breaking interactions to first order. There are seven sum rules for the possible twelve coupling constants. One of these sum rules involves only the coupling constants for the decays N*→NΠ, Y 1 *→ΛΠ, Y 1 *→ΣΠ, and Ξ*→ΞΠ, all of which are experimentally known. We also give the corresponding sum rules for 10* → 8+8 decay.
16267009
Structure of Abrikosov vortices in SU(2) lattice gauge theory
Abstract We calculate the electric flux and magnetic monopole current distribution in the presence of a static quark-antiquark pair of SU(2) lattice gauge theory in the maximal Abelian gauge. The current distribution confines the flux in a dual Abrikosov vortex whose core size is comparable to the flux penetration depth. The observed structure is described by a dual Ginzburg-Landau model.
123264743
Rigorous sum rules and bounds on pion-pion scattering lengths
Abstract We deduce from axiomatic field theory rigorous sum rules, and upper and lower bounds on S-and P-wave ππ scattering lenghts in terms of physical region forward ππ amplitudes, and also absolute sum rule inequalities on those amplitudes involving pion mass alone.
119234381
Suzaku X-ray spectral study of the Compton-thick Seyfert galaxy NGC 5135
We present the 0.5–50 keV Suzaku broad-band X-ray spectral study of the Compton-thick active galactic nucleus (AGN) in NGC 5135. The Suzaku observation provides the first detection of NGC 5135 above 10 keV that allowed us, for the first time, to estimate the absorbing column density, the intrinsic X-ray luminosity, the strength of the reflection component and the viewing angle of the torus for this AGN. The 0.5–10 keV spectrum of NGC 5135 is characterized by the standard components for a Compton-thick source: a scattered continuum, a prominent Fe Kα emission line [equivalent width (EW) ∼ 2.1 keV] and a soft excess. At higher energies (E > 10 keV), the intrinsic AGN continuum shows up, implying an absorbing column density of the order of ∼2.5 × 1024 cm−2 and the intrinsic 2.0–10 keV X-ray luminosity of ∼1.8 × 1043 erg s−1. Assuming a toroidal geometry of the reprocessing material, we show that an edge-on view of the obscuring torus is preferred in this source.