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arXiv 1208.4058nucl-thhep-exhep-lathep-phnucl-ex
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色限制手征夸克模型中的DbarN相互作用

DbarN interaction in a color-confining chiral quark model

C. E. Fontoura, G. Krein, V. E. Vizcarra

摘要:

我们用一个限制色和实现动力学手征对称性破缺的夸克模型研究了低能弹性DbarN相互作用。该模型由库仑规范中QCD哈密顿量的微观哈密顿量定义。通过求解能隙方程得到夸克的质量,用变分法得到重子和介子的束缚态波函数。我们从夸克交换机制导出了一个低能介子核子势,它的成分是夸克-夸克和夸克-反夸克相互作用以及重子和介子的波函数,它们都是从同一微观哈密顿量导出的。该模型补充(西格玛,ρ,欧米茄,a0)单介子交换来描述的相互作用的长程部分。通过迭代Lippmann-Schwinger方程中的夸克交换势和介子交换势得到了截面和相移。在确定了描述K+N和K 0 N反应低能实验相移的介子交换势模型参数后,无需引入新的参数,即可得到Dbar 0 N和D-N反应的预言.

英文摘要:

We investigate the low-energy elastic DbarN interaction using a quark model that confines color and realizes dynamical chiral symmetry breaking. The model is defined by a microscopic Hamiltonian inspired in the QCD Hamiltonian in Coulomb gauge. Constituent quark masses are obtained by solving a gap equation and baryon and meson bound-state wave functions are obtained using a variational method. We derive a low energy meson-nucleon potential from a quark-interchange mechanism whose ingredients are the quark-quark and quark-antiquark interactions and baryon and meson wave functions, all derived from the same microscopic Hamiltonian. The model is supplemented with (sigma,rho,omega,a0) single-meson exchanges to describe the long-range part of the interaction. Cross-sections and phase shifts are obtained by iterating the quark-interchange plus meson-exchange potentials in a Lippmann-Schwinger equation. Once model parameters in meson exchange potential are fixed to describe the low-energy experimental phase shifts of the K+N and K0N reactions, predictions for Dbar0N and D-N reactions are obtained without introducing new parameters.

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