118798864
Monopoles and Confinement in Lattice-Gauge Theory.
A C K N O W LED G EM ENTS I am indebted to my advisor, R ichard H aym aker, for his guidance, pa­ tience and encouragem ent during this p ro ject. I am happy to thank him for m any hours of fruitful discussions, for m uch help w ith program m ing, and for taking a lot of trouble to help me gain an appreciation of particle physics in general. I am grateful for his support in encouraging me to a tten d various conferences and sum m er schools, and in giving me the opportun ity to present talks. I am also happy to thank our collaborator, D ana Browne for encour­ agem ent and advice, for being very generous w ith his time, for invaluable help w ith this p ro ject, and also for helping me w ith program m ing, w riting papers, and Tq X . I am also glad to acknowledge useful discussions and help from Chen-H an Lee. I would also like to thank my friends C hristopher C hapm an, Shyamoli C haudhuri, C h itra Guruswamy, Ja i Won Kim, Evan M auceli, Ying Cai Peng, Vijay Poduri, Hossein Sadeghpour, Z ahra Sadeghpour, Jyo tsna V ijapurkar. Bing Yu, and Lijun Zhang, for the ir help and support. M ost of all, I am indebted to my family, w ithout whose support and encouragem ent this work would not have been possible. This work was done on the Physics SUN cluster (LEQSF(90-92)-ENH-12) and on the IBM 3090.
13534871
Vacuum structure of pure gauge theories on the lattice
Results from simulations on two aspects of quark confinement in the pure gauge sector are presented. First is the calculation of the profile of the flux tube connecting a static q[bar q] pair in SU(2). By use of the Michael sum rules as a constraint, evidence is set forth that the energy density at the center of the flux tube goes to a constant as a function of quark- separation. Slow variation of the width and energy density is not ruled out. Secondly in the confined phase of lattice U(l), the curl of the magnetic monopole current is calculated, and it is shown that the dual London equation is satisfied and that the electric fluxoid is quantized.
121664310
Energy and action of the colour fields around static quarks
Abstract Results on the profiles of the confining tube in the energy and action densities are discussed. Lattice sum rules are tested in detail.
121747622
Exact Solution of Schrödinger Equation in Aharonov-Bohm plus Dirac-Monopole Potential
An exact solution of the Schr\"odinger equation for a charge $e$ in the potential of a flux tube along the $z$ axis and a Dirac magnetic monopole of strength $g$ at the origin is obtained. Single-valued solutions exist even with $2eg\ensuremath{\ne}\mathrm{integer}$. When $2eg=\mathrm{integer}$ and single-valuedness holds, solutions with $|{J}_{z}|l|eg|$ have a centrifugal barrier (and hence behavior at the origin) independent of flux, but solutions with $|{J}_{z}|g|eg|$ have a flux-dependent centrifugal barrier.
17616577
Bhabha’s contributions to elementary particle physics and cosmic rays research
Bhabha’s scientific research contributions are descibed in the context of his life and contemporary science. During the Cambridge period (1927–1939), he worked in positron theory (Bhabha scattering), cosmic rays (Bhabha-Heitler theory of cosmic ray showers, prediction of heavier electrons) and meson theory. In Bangalore during 1939–1945, he worked on classical relativistic spinning particles (Bhabha-Corben equations), meson theory and initiated experimental work in cosmic rays in India. He then founded Tata Institute of Fundamental Research in 1945 at Bombay and moved there. Here he started work on relativistic wave equations (Bhabha equations.). He also initiated India’s nuclear energy programme in 1948 and this was his main preoccupation later.
13704441
An upper bound on the total inelastic cross section as a function of the total cross section
Recently Andr\'e Martin has proved a rigorous upper bound on the inelastic cross-section $\sigma_{inel}$ at high energy which is one-fourth of the known Froissart-Martin-Lukaszuk upper bound on $\sigma_{tot}$. Here we obtain an upper bound on $\sigma_{inel}$ in terms of $\sigma_{tot}$ and show that the Martin bound on $\sigma_{inel}$ is improved significantly with this added information.
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.
13987741
Recent results and status of TEXONO experiments
This article reviews the research program and efforts for the TEXONO Col- laboration on neutrino and astro-particle physics. The "flagship" program is on reactor- based neutrino physics at the Kuo-Sheng (KS) Power Plant in Taiwan. A limit on the neutrino magnetic moment of µ ¯ �e < 1.3 × 10 10 µB at 90% confidence level was derived from measurements with a high purity germanium detector. Other physics topics at KS, as well as the various R&D program, are discussed.