Nuclear Theory·nucl-th

Friday·December 20, 2024

12 papers—3 primary·9 cross-listed

01
Modeling of Real and Imaginary Phase Shifts for $α - α$ Scattering using Malfliet-Tjon Potential
Shikha Awasthi · Ishwar Kant · Anil Khachi · O.S.K.S. Sastri
The real and imaginary scattering phase shifts (SPS) and potentials for $ℓ = 0, 2, 4$ partial waves have been obtained by developing a novel algorithm $^{\ref F i g 1}$ to derive inverse potentials using a phenomenological approach. The phase equation, which is a Riccati-type non-linear differential equation, is coupled with the Variational Monte Carlo method. Comparisons between the resulting SPS for various $ℓ$ channels and experimental data are made using mean absolute percentage error (MAPE) as a cost function. Model parameters are fine-tuned through an appropriate optimization technique to minimize MAPE. The results for $ℓ = 0^{+}$ , $2^{+}$ , and $4^{+}$ partial waves are generated to align with experimental SPS with mean absolute error (MAE) calculated with respect to experimental data is 3.19, 8.74, 13.06 respectively corresponding to real part and 0.76, 0.76, 0.59 corresponding to imaginary parts of scattering phase shifts.
nucl-th0 citations
02
The boson number hypothesis and the boson number odd-even effect in $^{196 - 204}$ Hg
Tao Wang · Chun-xiao Zhou · Lorenzo Fortunato
In the SU3-IBM the oblate shape is described by the \textrm{SU(3)} third-order Casimir operator in the large- $N$ limit. However for finite $N$ , this interaction can produce a boson number odd-even effect. In this Letter, we find that, the unique odd-even effect really exists in the nuclei $^{196 - 204}$ Hg. This finding implies that realistic low-lying excitations are sensitive to certain boson number $N$ . The boson number hypothesis is verified for the first time since the advent of the interacting boson model. This also proves the accuracy and validity of the SU3-IBM directly. The SU(3) symmetry and the higher-order interactions are both indispensable for understanding the nuclear quadrupole deformations.
nucl-th8 citations
03
Thermal dilepton polarization and dynamics of the QCD plasma in relativistic heavy-ion collisions
Xiang-Yu Wu🇨🇦 · Han Gao🇨🇦 · Bailey Forster🇨🇦 · Charles Gale🇨🇦 · Greg Jackson🇫🇷 · Sangyong Jeon🇨🇦
We present the first theoretical study of the polarization of lepton pairs produced in $s_{NN} = 5.02$ TeV Pb+Pb collisions at the LHC, using next-to-leading order (NLO) dilepton emission rates. These calculations employ a multi-stage framework to simulate the evolution of relativistic heavy-ion collisions, and to explore the sensitivity of polarization to early times. It is found that the intermediate invariant-mass dileptons are indeed probes of the thermal equilibration process, and go beyond the reach of hadronic observables. We compute the polarization anisotropy coefficient obtained with LO dilepton rates, and show that the LO and NLO results differ radically, both in trend and in magnitude, at low and intermediate lepton pair invariant masses.
nucl-thhep-phnucl-exPRL(2025)·14 citations

Affiliations

first authorsco-authorsvia INSPIRE

Modeling of Real and Imaginary Phase Shifts for α−α Scattering using Malfliet-Tjon Potential

The boson number hypothesis and the boson number odd-even effect in 196−204Hg

Thermal dilepton polarization and dynamics of the QCD plasma in relativistic heavy-ion collisions

Affiliations

Modeling of Real and Imaginary Phase Shifts for $α - α$ Scattering using Malfliet-Tjon Potential

The boson number hypothesis and the boson number odd-even effect in $^{196 - 204}$ Hg