Time-reversal invariance violation effect in $\bm{dd}$ scattering
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912225021657088 |
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| author | Platonova, M. N. Uzikov, Yu. N. |
| author_facet | Platonova, M. N. Uzikov, Yu. N. |
| contents | A formalism has been developed for calculating the signal of violation of $T$ invariance, provided that $P$ invariance is preserved during the scattering of tensor-polarized deuterons on vector-polarized ones based on the Glauber theory with the full consideration of spin dependence of $NN$ elastic scattering amplitudes and spin structure of colliding deuterons. The numerical calculations have been carried out in the range of laboratory proton energies $T_p=0.1$--$1.2$ GeV using the SAID database for spin amplitudes and in the energy region of the SPD NICA experiment corresponding to the invariant mass of the interacting nucleon pairs $\sqrt{s_{NN}}= 2.5$--$25$ GeV, using two phenomenological models of $pN$ elastic scattering. It is found that only one type of the $T$ non-invariant $P$-invariant $NN$ interaction gives a non-zero contribution to the signal in question, that is important for isolating an unknown constant of this interaction from the corresponding data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_03262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-reversal invariance violation effect in $\bm{dd}$ scattering Platonova, M. N. Uzikov, Yu. N. Nuclear Theory A formalism has been developed for calculating the signal of violation of $T$ invariance, provided that $P$ invariance is preserved during the scattering of tensor-polarized deuterons on vector-polarized ones based on the Glauber theory with the full consideration of spin dependence of $NN$ elastic scattering amplitudes and spin structure of colliding deuterons. The numerical calculations have been carried out in the range of laboratory proton energies $T_p=0.1$--$1.2$ GeV using the SAID database for spin amplitudes and in the energy region of the SPD NICA experiment corresponding to the invariant mass of the interacting nucleon pairs $\sqrt{s_{NN}}= 2.5$--$25$ GeV, using two phenomenological models of $pN$ elastic scattering. It is found that only one type of the $T$ non-invariant $P$-invariant $NN$ interaction gives a non-zero contribution to the signal in question, that is important for isolating an unknown constant of this interaction from the corresponding data. |
| title | Time-reversal invariance violation effect in $\bm{dd}$ scattering |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2410.03262 |