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Joint Institute for Nuclear Research Relativistic ... - Index of - JINR

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RELATIVISTIC THEORY OF NUCLEON-NUCLEON INTERACTION<br />

S.G. Bondarenko 1 , V.V. Burov 1† and E.P. Rogochaya 1<br />

(1) <strong>Joint</strong> <strong>Institute</strong> <strong>for</strong> <strong>Nuclear</strong> research<br />

† E-mail: burov@theor.jinr.ru<br />

Recent developments <strong>of</strong>thecovariant Bethe–Salpeter (BS)approach[1] withtheuse <strong>of</strong><br />

theseparable interaction<strong>for</strong>thedeuteronarereviewed. The procedure<strong>of</strong>theconstruction<br />

<strong>of</strong> the separable nucleon-nucleon (NN) interaction is discussed. Two different methods <strong>of</strong><br />

a relativistic generalization <strong>of</strong> initially nonrelativistic <strong>for</strong>m factors parametrizing the kernel<br />

are considered. The BS <strong>for</strong>malism with the separable interaction is demonstrated to<br />

provide good results on description <strong>of</strong> NN phase shifts. Thus, the neutron-proton interaction<br />

<strong>for</strong> the total angular momentum J = 0,1,2 partial state is obtained. Parameters <strong>of</strong><br />

the kernel are defined from the description <strong>of</strong> phase shifts and low-energy characteristics<br />

in the elastic neutron-proton scattering. In order to take into account inelasticities the<br />

real-valued separable potential elaborated earlier was extended complex one. Then the<br />

description <strong>of</strong> the inelasticity parameter comes out <strong>of</strong> the imaginary part introduced in<br />

the potential. The complex potential parameters are obtained using the available elastic<br />

neutron-proton scattering experimental data up to 3 GeV. A signal <strong>of</strong> wide dibaryon<br />

resonances in the 3 P + 0 partial wave state is discussed [2] - [8].<br />

References<br />

[1] S. G. Bondarenko, V. V. Burov, A. V. Molochkov, G. I. Smirnov and H. Toki, Prog.<br />

Part. Nucl. Phys. 48, 449 (2002) [nucl-th/0203069].<br />

[2] S. G. Bondarenko, V. V. Burov and E. P. Rogochaya, Phys. Lett. B 705, 264 (2011).<br />

[3] S. G. Bondarenko, V. V. Burov and E. P. Rogochaya, JETP Lett. 94, 3 (2012)<br />

[arXiv:1110.5775 [nucl-th]].<br />

[4] S. G. Bondarenko, V. V. Burov and E. P. Rogochaya, Nucl. Phys. Proc. Suppl.<br />

219-220, 126 (2011) [arXiv:1108.4170 [nucl-th]].<br />

[5] S. G. Bondarenko, V. V. Burov and E. P. Rogochaya, arXiv:1106.4478 [nucl-th].<br />

[6] S. G. Bondarenko, V. V. Burov and E. P. Rogochaya, Few Body Syst. 49, 121 (2011)<br />

[arXiv:1008.0107 [nucl-th]].<br />

[7] S. G. Bondarenko, V. V. Burov, W. -Y. P. Hwang and E. P. Rogochaya, Nucl. Phys.<br />

A 848, 75 (2010) [arXiv:1002.0487 [nucl-th]].<br />

[8] S. G. Bondarenko, V. V. Burov, E. P. Rogochaya and W. -Y. Pauchy Hwang, Nucl.<br />

Phys. A 832, 233 (2010) [arXiv:0810.4470 [nucl-th]].<br />

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