Testing nuclear forces by polarization transfer coefficients in d(p,p)d and d(p,d)p reactions at E=22.7 MeV

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  • Testing nuclear forces by polarization transfer coefficients in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>→</mml:mi></mml:mrow></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>→</mml:mi></mml:mrow></mml:mover><mml:mo stretchy="false">)</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>→</mml:mi></mml:mrow></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>→</mml:mi></mml:mrow></mml:mover><mml:mo stretchy="false">)</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math>reactions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mi>E</mml:mi><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi fontstyle="normal">lab</mml:mi></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>22.7</mml:mn></mml:mrow></mml:math>MeV

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The proton to proton polarization transfer coefficients K,K, and K, and the proton to deuteron polarization transfer coefficients K,K,K, K,K,K,K, and K were measured in d(p,p)d and d(p,d)p reactions, respectively, at E=22.7 MeV. The data were compared to predictions of modern nuclear forces obtained by solving the three-nucleon Faddeev equations in momentum space. Realistic (semi)phenomenological nucleon-nucleon potentials combined with model three-nucleon forces and modern chiral nuclear forces were used. The AV18, CD Bonn, and Nijm I and II nucleon-nucleon interactions were applied alone or combined with the Tucson-Melbourne 99 three-nucleon force, adjusted separately for each potential to reproduce the triton binding energy. For the AV18 potential, the Urbana IX three-nucleon force was also used. In addition, chiral NN potentials in the next-to-leading order and chiral two- and three-nucleon forces in the next-to-next-to-leading order were applied. Only when three-nucleon forces are included does a satisfactory description of all data result. For the chiral approach, the restriction to the forces in the next-to-leading order is insufficient. Only when going over to the next-to-next-to-leading order does one get a satisfactory description of the data, similar to the one obtained with the (semi)phenomenological forces.

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