A search for effects of short range correlations in proton spectra from collisions induced by 47 MeV/u projectiles

Hagel, K.; Natowitz, J. B.

doi:10.48550/arxiv.2111.09399

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…Interesting indications have been found very recently of SRC effects on the cooling of protoneutron stars, the formation of baryon resonances, dark matter, and nuclear pasta as well as on tidal deformation and mass-radius correlation in neutron stars [680][681][682][683][684][685][686][687], and also on several features of nuclear matter and heavy-ion reactions [688][689][690][691][692][693][694][695]. However, much more work remains to be done to systematically and consistently address the SRC-related issues in hadronic transport simulations (see Section II A).…”

Section: B Nuclear Eos With Reduced Spatial Dimensionsmentioning

confidence: 99%

Dense Nuclear Matter Equation of State from Heavy-Ion Collisions

Sorensen¹,

Agarwal²,

Brown³

et al. 2023

Preprint

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Section: B Nuclear Eos With Reduced Spatial Dimensionsmentioning

confidence: 99%

Dense Nuclear Matter Equation of State from Heavy-Ion Collisions

Sorensen¹,

Agarwal²,

Brown³

et al. 2023

Preprint

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“…More recently, the SRC-induced HMT has been found to affect particularly the dynamics and emissions of energetic nucleons, hard photons and/or the production of deeply sub-threshold particles in nuclear reactions [17,[53][54][55][56]. Interestingly, a very recently analysis of the energy spectra of protons emitted in reactions of 47 MeV/u projectiles with Sn and Au targets provides new evidence for the 1/k 4 shape of the HMTs in the intrinsic momenta spectra of the projectiles [57].…”

Section: A Nucleon Momentum Distribution With Src-induced High-moment...mentioning

confidence: 99%

Investigating Effects of Relativistic Kinematics, Dimensionality, Interactions, and Short-Range Correlations on the Ratio of Quartic over Quadratic Nuclear Symmetry Energies

Cai,

2022

Preprint

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While ample evidence for the so-called empirical parabolic law of the Equation of State (EOS) of isospin asymmetric nuclear matter (ANM) has been obtained in many studies within both non-relativistic and relativistic nuclear many-body theories using various interactions, it has been unclear if there is any fundamental physics reason for the small quartic symmetry energy compared to the quadratic one even as the ANM approaches pure neutron matter. Within both relativistic and non-relativistic Free Fermi Gas (FFG) models in coordinate spaces of arbitrary dimension d with and without considering Short-Range Correlations (SRC) as well as non-linear Relativistic Mean Field (RMF) models, we study effects of relativistic kinematics, dimensionality, interactions and SRC on the ratio Ψ(ρ) of quartic over quadratic symmetry energies in ANM EOSs. We found that the ratio Ψ(ρ) in the FFG model depends strongly on the dimension d. While it is very small already in the normal 3D space, it could be even smaller in spaces with reduced dimensions for sub-systems of particles in heavy-ion reactions and/or whole neutron stars due to constraints, collectivities and/or symmetries. We also found that the ratio Ψ(ρ) could theoretically become very large only at the ultra-relativistic limit far above the density reachable in neutron stars. On the other hand, nuclear interaction directly and/or indirectly through SRC-induced high-momentum nucleons affect significantly the density dependence of Ψ(ρ) compared to the relativistic FFG model prediction. The SRC affects significantly not only the kinetic energy of symmetric nuclear matter but also the ratio Ψ(ρ) while the relativistic corrections are found negligible. Although we found no fundamental physics reason for the Ψ(ρ) to be very small especially at high densities, the results may help better understand the EOS of dense neutron-rich matter.

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“…Using the last two as independent parameters and assuming they have the same isospin dependence, i.e, Y J = Y 0 (1 + Y 1 τ J 3 δ) [148], the associated parameters were correspondingly constrained to be about C 0 ≈ 0.161 ± 0.015, C 1 ≈ −0.25 ± 0.07,φ 0 ≈ 2.38 ± 0.56 and φ 1 ≈ −0.56 ± 0.10 using information from the SRC experiments [95,152], see, e.g., Ref. [101] for a recent review on related issues [153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170].…”

Section: Relationsmentioning

confidence: 99%

Equation of State of Neutron-Rich Matter in $d$-Dimensions

Cai¹,

Li²

2022

Preprint

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Nuclear systems under constraints, with high degrees of symmetries and/or collectivities may be considered as moving effectively in spaces with reduced spatial dimensions. We first derive analytical expressions for the nucleon specific energy E 0 (ρ), pressure P 0 (ρ), incompressibility coefficient K 0 (ρ) and skewness coefficient J 0 (ρ) of symmetric nucleonic matter (SNM), the quadratic symmetry energy E sym (ρ), its slope parameter L(ρ) and curvature coefficient K sym (ρ) as well as the fourth-order symmetry energy E sym,4 (ρ) of neutron-rich matter in general d spatial dimensions (abbreviated as "dD") in terms of the isoscalar and isovector parts of the isospin-dependent single-nucleon potential according to the generalized Hugenholtz-Van Hove (HVH) theorem. The equation of state (EOS) of nuclear matter in dD can be linked to that in the conventional 3-dimensional (3D) space by the ǫ-expansion which is a perturbative approch successfully used previously in treating second-order phase transitions and related critical phenomena in solid state physics and more recently in studying the EOS of cold atoms. The ǫ-expansion of nuclear EOS in dD based on a reference dimension d f = d − ǫ is shown to be effective with −1 ǫ 1 starting from 1 d f 3 in comparison with the exact expressions derived using the HVH theorem. Moreover, the EOS of SNM (with/without considering its potential part) is found to be reduced (enhanced) in lower (higher) dimensions, indicating in particular that the many-nucleon system tends to be deeper bounded but saturate at higher densities in spaces with lower dimensions. The symmetry energy perturbed from its counterpart in 3D is found to strongly depend on the momentum-dependence of the nucleon isovector potential. Moreover, the specific structure of the fourth-order symmetry energy in dD is also analyzed generally, and it is found to be naturally small, confirming the parabolic approximation for the EOS of neutron-rich matter from an even wider viewpoint. The links between the EOSs in 3D and dD spaces from the ǫ-expansion provide new perspectives to the EOS of neutron-rich matter. Further studies and potential applications of these links in nuclear physics and/or astrophysics are discussed.

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A search for effects of short range correlations in proton spectra from collisions induced by 47 MeV/u projectiles

Cited by 3 publications

References 15 publications

Dense Nuclear Matter Equation of State from Heavy-Ion Collisions

Dense Nuclear Matter Equation of State from Heavy-Ion Collisions

Investigating Effects of Relativistic Kinematics, Dimensionality, Interactions, and Short-Range Correlations on the Ratio of Quartic over Quadratic Nuclear Symmetry Energies

Equation of State of Neutron-Rich Matter in $d$-Dimensions

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