Nuclear Theory·nucl-th
7 papers—3 primary·4 cross-listed
[Submitted on 3 Oct 2024]
Recent developments aimed at mapping QCD phase diagram and the search for the QCD critical point in heavy-ion collisions are briefly reviewed.
[Submitted on 4 Oct 2024]
M.N. Platonova🇷🇺 · Yu.N. Uzikov🇷🇺
A formalism has been developed for calculating the signal of violation of invariance, provided that 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 elastic scattering amplitudes and spin structure of colliding deuterons. The numerical calculations have been carried out in the range of laboratory proton energies -- 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 -- GeV, using two phenomenological models of elastic scattering. It is found that only one type of the non-invariant -invariant 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.
[Submitted on 4 Oct 2024]
B. Bally🇫🇷 · A. Scalesi🇫🇷 · V. Somà🇫🇷 · L. Zurek🇫🇷 · T. Duguet🇫🇷
The present article demonstrates that the deuteron, i.e. the lightest bound nuclear system made of a single proton and a single neutron, can be accurately described within a mean-field-based framework. Although paradoxical at first glance, the deuteron ground-state binding energy, magnetic dipole moment, electric quadrupole moment and root-mean-square proton radius are indeed reproduced with sub-percent accuracy via a low-dimensional linear combination of non-orthogonal Bogoliubov states, i.e. with a method whose numerical cost scales as , where is the dimension of the basis of the one-body Hilbert space. By further putting the system into a harmonic trap, the neutron-proton scattering length and effective range in the channel are also accurately reproduced. To achieve this task, (i) the inclusion of proton-neutron pairing through the mixing of proton and neutron single-particle states in the Bogoliubov transformation and (ii) the restoration of proton and neutron numbers before variation are shown to be mandatory ingredients. This unexpected result has implications regarding the most efficient way to capture necessary correlations as a function of nuclear mass and regarding the possibility to ensure order-by-order renormalizability of many-body calculations based on chiral or pionless effective field theories beyond light nuclei. In this context, the present study will be extended to H and He in the near future as well as to the leading order of pionless effective field theory.
first authorsco-authorsvia INSPIRE