The state of nonrelativistic quantum system in a relativistic reference frame

Sharph IV, Deliyergiyev MA, Kotanzhyan AG, Merkotan KK, Podolian NO, Potiyenko OS, Ptashynskyy DA, Sokhrannyi GO, Tykhonov AV, Volkotrub YV, Rusov VD (2014) .

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Preprint | Englisch
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We consider the problem of internal particle state transformation, which is abound state of several constituents, from the particle's rest frame to thesystem in which this particle is relativistic. It is assumed that in the restframe of the composite particle, its internal state can be considered in thenonrelativistic approximation. It is shown, that this internal state isunchanged during the transition from one reference frame to another. Namely,given the particle is spherically symmetric in the rest frame, it remainsspherically symmetric in any other reference frame, and does not undergoLorentz contraction along the direction of motion of moving reference framewith respect to the rest frame. We discuss a possible application of theseresults to the description of hadron-hadron scattering, considering hadrons asa bound states of quarks.
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Sharph IV, Deliyergiyev MA, Kotanzhyan AG, et al. The state of nonrelativistic quantum system in a relativistic reference frame. 2014.
Sharph, I. V., Deliyergiyev, M. A., Kotanzhyan, A. G., Merkotan, K. K., Podolian, N. O., Potiyenko, O. S., Ptashynskyy, D. A., et al. (2014). The state of nonrelativistic quantum system in a relativistic reference frame
Sharph, I. V., Deliyergiyev, M. A., Kotanzhyan, A. G., Merkotan, K. K., Podolian, N. O., Potiyenko, O. S., Ptashynskyy, D. A., Sokhrannyi, G. O., Tykhonov, A. V., Volkotrub, Y. V., et al. (2014). The state of nonrelativistic quantum system in a relativistic reference frame.
Sharph, I.V., et al., 2014. The state of nonrelativistic quantum system in a relativistic reference frame.
I.V. Sharph, et al., “The state of nonrelativistic quantum system in a relativistic reference frame”, 2014.
Sharph, I.V., Deliyergiyev, M.A., Kotanzhyan, A.G., Merkotan, K.K., Podolian, N.O., Potiyenko, O.S., Ptashynskyy, D.A., Sokhrannyi, G.O., Tykhonov, A.V., Volkotrub, Y.V., Rusov, V.D.: The state of nonrelativistic quantum system in a relativistic reference frame. (2014).
Sharph, I. V., Deliyergiyev, M. A., Kotanzhyan, A. G., Merkotan, K. K., Podolian, N. O., Potiyenko, O. S., Ptashynskyy, D. A., Sokhrannyi, G. O., Tykhonov, A. V., Volkotrub, Yu. V., and Rusov, V. D. “The state of nonrelativistic quantum system in a relativistic reference frame”. (2014).

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arXiv: 1403.3114

Inspire: 1285739

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