in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal w...

In this paper, we obtain the Rényi entropy rate for irreducible-aperiodic Markov chains with countable state space, using the theory of countable nonnegative matrices. We also obtain the bound for the rate of Rényi entropy of an irreducible Markov chain. Finally, we show that the bound for the Rényi entropy rate is the Shannon entropy rate.

Discrete γ-rays from the neutron capture state of 13C to its low-lying bound states have been measured using pulsed neutrons at En = 550 keV. The partial capture cross sections have been determined to be 1.7±0.5, 24.2±1.0, 2.0±0.4 and 1.0±0.4 μb for the ground (J = 1/2−), first (J = 1/2+), second (J = 3/2−) and third (J = 5/2+) excited states, respectively. From a comparison with theoretical pr...

We show that using the Dirac equation to calculate quark bound c states can give.rise to significantly different eigenspectra than those obtained by using the same potential in the Schrcedinger equation, even when < v2/c2 > is small. The origin of this effect is identified and discussed.

We study the n-dimensional Schrodinger equation, n 2 2, with a nonspherically symmetric potential in the class of Agmon's short range potentials without any positive energy bound states. We give sufficient conditions that guarantee the existence of a Wiener-Hopf factorization of the corresponding scattering operator. We show that the potential can be recovered from the scattering operator by so...

We employ a nonrelativistic version of QCD (NRQCD) to study heavy qq̄-bound states in the lowest approximation without fine structure. We use gluon configurations on a 16×48-lattice at β = 6.2 from the UKQCD collaboration. For a bare quark mass near that of the b-quark (Ma = 1.6) we obtain the bound state masses for the S, P and both types of D-waves. We also detect signals for two types of hybr...

Within the framework of exact renormalization group flow equations, a scale-dependent transformation of the field variables provides for a continuous translation of UV to IR degrees of freedom. Using the gauged NJL model as an example, this translation results in a construction of partial bosonization at all scales. A fixedpoint structure arises which makes it possible to distinguish between fu...

Some features and predictions of a recently proposed model based on diquark-antidiquark bound states are illustrated. Its ability in accomodating newly discovered charmed resonances around 4 GeV is discussed.