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REINA() DE TRABALHO SOBRE FiSICA NUCLEAR NO BRASIL

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XX RTFNB - Resumos 9<br />

Interacio nucleon-nucleon<br />

Int eracao nucleon-nucleon<br />

01/09/97<br />

SKYRMIONS AND THE<br />

NUCLEON-NUCLEON INTERACTION<br />

1. P. CAVALCANTE, M. R. ROBILOTTA<br />

USP<br />

We study the main features of nucleons and nucleonnucleon<br />

interactions in the framework of the Skyrme<br />

model, based on an effective lagrangian consistent with<br />

QCD. In this model, baryons are solitons of a chiral<br />

symmetric theory where mesons interact weakly. Skyrme's<br />

lagrangian [1] represents a possible effective model<br />

for strong interactions at low energies, where perturbation<br />

theory cannot he applied.<br />

The spherically symmetric solitonic solution of Skyrme's<br />

lagrangian, with topological number equal to<br />

one, gives rise to baryons, such as nucleons and deltas.<br />

Nucleon-nucleon interactions are easily derived<br />

from the model in the sudden approximation, by means<br />

of an ilnsatz for the composite field of two skyrmions.<br />

Since the skyrmion range is rather short, the so called<br />

Product Ansatz [2] yields good results for long distances<br />

between skyrmions. However, the intermediate range<br />

attraction of the NN potential is not achieved.<br />

We analyse the advantages and problems of the Product<br />

Ansalz, and we propose an alternative one.<br />

[1]T.H.R. Skyrme, Nucl. Phys. 31 (1962) 556<br />

[2]A. Jackson et al., Nucl. Phys. A432 (1985) 567<br />

STUDY OF THE REACTION p+p--d+r+<br />

ACCORDING TO CHIRAL<br />

PERTURBATION THEORY<br />

C. A. DA ROCHA<br />

Institute de Fisico Teorica - Sao Paulo<br />

U. VAN KOI.CK, G. MILLER<br />

University of Washington - Seattle<br />

We use power-counting arguments [1,2] as an organizing<br />

principle to apply chiral perturbation theory, including<br />

an explicit A, to the p+p d -l-r+ reaction near threshold.<br />

There are three lowest-order leading mechanisms<br />

expected to contribute to the amplitude with similar<br />

magnitudes: the Weinberg-Tomosawa (WT) term, the<br />

impulse term, and the A-excitation mechanism. We<br />

examine formally sub-leading but potentially large mechanisms,<br />

including S-wave pion-rescattering, the galllean<br />

correction to the WT term, and short-ranged contributions.<br />

We show that due to the interference between<br />

S and D waves in the Deuteron final state, the<br />

Weinberg-Tomosawa is the leading term and practically<br />

reproduces the cross-section data alone; the pionrescattering<br />

contribution, which is enhanced by off-shell<br />

effects, has a sign opposite to the A contribution. In<br />

addition, we have modeled the short-ranged interaction<br />

using a and w exchange mechanisms, but their contributions<br />

revealed small. Our result shows also that in<br />

the impulse term, the S and D waves add destructively<br />

and its net result is small. The total amplitude obtained<br />

including all of these processes is found to yield<br />

cross sections in very good agreement with the data.<br />

[1]T.D. Cohen, J.L. Friar, G.A. Miller e U. van Kolek,<br />

Phys. Rev. 053,2661 (1996).<br />

[2]U. van Kolck, G.A. Miller e D.O. Risks, Phys. Lett.<br />

6388, 679 (1996).<br />

OFF-SHELL EFFECTS IN PION -<br />

NUCLEON BREMSSTRAHLUNG<br />

ALEJANDRO EDGARD° MARIA <strong>NO</strong><br />

Universidad Nacional de La Plata<br />

Until this moment the rNg reaction has been studied<br />

within the Soft Photon Approximation, where the total<br />

amplitude depends only on the elastic AN scattering Tmatrix.<br />

Here we propose a dynamical model that treats<br />

the amplitude to all orders in the photon energy and<br />

thus permits to investigate the off-shell behavior of the<br />

irN interaction. In addition to obtain a total gauge invariant<br />

amplitude, two-body meson exchange currents<br />

are included. The off-shell behavior of different interactions<br />

are compared to each other and with UCLA and<br />

SIN data. This makes possible to determine the interaction<br />

where the approximations involved in the model<br />

are acceptable, or eventual problems in the behavior of<br />

the interactions in the off-shell regime.<br />

Bethe-Salpeter equation on the Light-Front<br />

J. H. 0. SALES, T. FRE<strong>DE</strong>RICO, B. V. CARLSON<br />

Dcpto. de Fisica, ITA, Centro Tecraco Aeroespacial, Sao<br />

Jose dos Campos, Sao Paulo<br />

We study in a bosonic model the two-body Bethe-<br />

Salpeter equation in the ladder aproximation on the<br />

Light-Front. The ladder comes from the exchange of<br />

an intermediate boson between the other two. The<br />

equivalence of the covariant. B.S. equation and the<br />

Light-Front B.-S. is found when all the intermediate<br />

states with any number of exchanged boson is allowed<br />

in the kernel.. The formal proof of the above

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