36 research outputs found
Scattering of Two Spinless Particles in 3D Formulation with Coulomb Admixtures
Scattering of two spinless charge particles for simple forces including
coulomb admixtures is calculated without partial wave decomposition. The
coulomb interaction being taken is of the type of screened coulomb potential.
For the forces range are not infinite, the standard scattering theory is
applied. The differential and total cross section is calculated and coulomb
effects are shown.Comment: 4 pages, 2 figure
New Forms of Deuteron Equations and Wave Function Representations
A recently developed helicity basis for nucleon-nucleon (NN) scattering is
applied to th e deuteron bound state. Here the total spin of the deuteron is
treated in such a helicity representation. For the bound state, two sets of two
coupled eigenvalue equations are developed, where the amplitudes depend on two
and one variable, respectively. Numerical illustrations based on the realistic
Bonn-B NN potential are given. In addition, an `operator form' of the deuteron
wave function is presented, and several momentum dependent spin densities are
derived and shown, in which the angular dependence is given analytically.Comment: 19 pages (Revtex), 9 fig
Constraints of cluster separability and covariance on current operators
Realistic models of hadronic systems should be defined by a dynamical unitary
representation of the Poincare group that is also consistent with cluster
properties and a spectral condition. All three of these requirements constrain
the structure of the interactions. These conditions can be satisfied in
light-front quantum mechanics, maintaining the advantage of having a kinematic
subgroup of boosts and translations tangent to a light front. The most
straightforward construction of dynamical unitary representations of the
Poincare group due to Bakamjian and Thomas fails to satisfy the cluster
condition for more than two particles. Cluster properties can be restored, at
significant computational expense, using a recursive method due to Sokolov. In
this work we report on an investigation of the size of the corrections needed
to restore cluster properties in Bakamjian-Thomas models with a light-front
kinematic symmetry. Our results suggest that for models based on nucleon and
meson degrees of freedom these corrections are too small to be experimentally
observed.Comment: Contribution to Light Cone 2011, Dallas TX, 4 pages, 2 figure
Selected Topics in Three- and Four-Nucleon Systems
Two different aspects of the description of three- and four-nucleon systems
are addressed. The use of bound state like wave functions to describe
scattering states in collisions at low energies and the effects of some
of the widely used three-nucleon force models in selected polarization
observables in the three- and four-nucleon systems are discussed.Comment: Presented at the 21st European Conference on Few-Body Problems in
Physics, Salamanca, Spain, 30 August - 3 September 201
Pion double charge exchange on 4He
The doubly differential cross sections for the He
reaction were calculated using both a two-nucleon sequential single charge
exchange model and an intranuclear cascade code. Final state interactions
between the two final protons which were the initial neutrons were included in
both methods. At incident pion energies of 240 and 270 MeV the low-energy peak
observed experimentally in the energy spectrum of the final pions can be
understood only if the contribution of pion production is included. The
calculated cross sections are compared with data.Comment: 25 pages, 9 figure
Relativistic effects and quasipotential equations
We compare the scattering amplitude resulting from the several quasipotential
equations for scalar particles. We consider the Blankenbecler-Sugar, Spectator,
Thompson, Erkelenz-Holinde and Equal-Time equations, which were solved
numerically without decomposition into partial waves. We analyze both
negative-energy state components of the propagators and retardation effects. We
found that the scattering solutions of the Spectator and the Equal-Time
equations are very close to the nonrelativistic solution even at high energies.
The overall relativistic effect increases with the energy. The width of the
band for the relative uncertainty in the real part of the scattering
matrix, due to different dynamical equations, is largest for
backward-scattering angles where it can be as large as 40%.Comment: Accepted for publication in Phys. Rev.
Nuclear Alpha-Particle Condensates
The -particle condensate in nuclei is a novel state described by a
product state of 's, all with their c.o.m. in the lowest 0S orbit. We
demonstrate that a typical -particle condensate is the Hoyle state
( MeV, state in C), which plays a crucial role for
the synthesis of C in the universe. The influence of antisymmentrization
in the Hoyle state on the bosonic character of the particle is
discussed in detail. It is shown to be weak. The bosonic aspects in the Hoyle
state, therefore, are predominant. It is conjectured that -particle
condensate states also exist in heavier nuclei, like O,
Ne, etc. For instance the state of O at MeV
is identified from a theoretical analysis as being a strong candidate of a
condensate. The calculated small width (34 keV) of ,
consistent with data, lends credit to the existence of heavier Hoyle-analogue
states. In non-self-conjugated nuclei such as B and C, we discuss
candidates for the product states of clusters, composed of 's,
triton's, and neutrons etc. The relationship of -particle condensation
in finite nuclei to quartetting in symmetric nuclear matter is investigated
with the help of an in-medium modified four-nucleon equation. A nonlinear order
parameter equation for quartet condensation is derived and solved for
particle condensation in infinite nuclear matter. The strong qualitative
difference with the pairing case is pointed out.Comment: 71 pages, 41 figures, review article, to be published in "Cluster in
Nuclei (Lecture Notes in Physics) - Vol.2 -", ed. by C. Beck,
(Springer-Verlag, Berlin, 2011
Trinucleon bound state properties and form factors with the B.K.R. potential
The triton binding energy, SâČ - and D-state probabilities are determined using the B.K.R. potential. Neglecting mesonic corrections, the charge and magnetic form factors are computed for 3H and 3He. They show a diffraction minimum at q2 = 14.4 fmâ2
The three nucleon bound state wave function and the coulomb energy of 3He
A method previously employed to determine the binding energy of a three particle system using the Faddeev equations is extended to calculate the bound state wave function. It is applied to the three-nucleon bound state and as result the Coulomb energy and the S'-state probability are calculated using local central Yukawa type interactions
Three nucleon calculations with local tensor forces
Within the framework of the Faddeev equations, the triton binding energy, Coulomb energy, SâČ- and D- state probabilities are determined. The two-particle interactions thereby employed are of the local Yukawa type and include also tensor forces