Nuclear Theory·nucl-th

Tuesday·November 5, 2024

19 papers—9 primary·10 cross-listed

01
[Submitted on 31 Oct 2024]
Role of Lambda N and Lambda NN interaction parameters on binding energy of Lambda H4 and Lambda H4*
Bhupali Sharma🇮🇳
Variational Monte Carlo study has been done for the two hypernuclear systems $_{Λ}^{4}$ H and $_{Λ}^{4}$ H $^{*}$ for calculation of binding energies. For the two hypernuclear systems under study, different potential models have been used for the interactions involved in these hypernuclear systems. ArgonneV $_{18}$ NN, Urbana IX NNN and phenomenological $Λ$ N and $Λ$ NN potentials have been used in our study. Our potential models are based on our previous studies on different double lambda hypernuclear systems. From our results, hyperon-nucleon parameters ie. two-body $Λ$ N parameter and three-body $Λ$ NN parameters are found to be important for binding the hypernuclear systems under study. With reduction in the values of Lambda NN interaction parameters used in earlier works , there is significant difference in the values of binding energy of $_{Λ}^{4}$ H and $_{Λ}^{4}$ H $^{*}$ . Also, $Λ$ N interaction parameters are also found to play important role in binding.
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2411.00880 [pdf]
Journal of Applied and Fundamental Scienc…·0 citations
02
[Submitted on 31 Oct 2024]
Variational study of s-shell lambda hypernuclear system
Bhupali Sharma🇮🇳
Theoretical study on hypernuclear systems is important to know the nature of hyperon-nucleon and hyperon-hyperon interaction as only hypernuclear systems give the scope of knowing these interactions. A hypernucleus, in addition to the nucleons contains at least one hyperon which is a strange particle composed of quarks. A hypernucleus is produced mostly in heavy ion collisions and it undergoes weak decay. Experimental detection of hypernuclear events are rare and this makes the study of hypernuclear physics more challenging. Hypernuclear physics has a close association with astrophysics as hyperon-nucleon and hyperon-hyperon interactions are found to play important role in the interiors of neutron stars. The core of neutron stars contains strange quark matter and therefore, study of hyperon involved potentials are essential for the determination of the composition of neutron star matter. But, there is a scarcity of data from hyperon-nucleon scattering experiments. Also, since it is impossibe to have hyperon-hyperon scattering experiments, the direct determination of the baryon-baryon interaction strength is extremely difficult. Therefore theoretical models play important role in unfolding the mysteries of hyperon-nucleon and hyperon-hyperon interaction. In this study, binding energies of hypernuclear systems calculated using different two-body lambda-nucleon and three-body lambda-nucleon-nucleon interactions have been analysed. Also effect of lambda-lambda potential on the binding energy of hypernuclear system have been analysed. In this few-body study, we have employed Variational Monte Carlo technique for calculation of the binding energies of different hyperclear systems.
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2411.00884 [pdf]
Journal of Applied and Fundamental Scienc…·0 citations
03
[Submitted on 2 Nov 2024]
Role of octupole shape degree of freedom in neutron-rich odd-mass xenon isotopes
K. Nomura
Influences of the octupole shape degree of freedom on low-energy spectra of neutron-rich odd-mass xenon isotopes are studied within the interacting boson-fermion model that is based on the nuclear density functional theory. The interacting-boson Hamiltonian describing low-energy quadrupole and octupole collective states of the even-even nuclei $^{140, 142, 144}$ Xe, single-particle energies, and occupation probabilities for an unpaired neutron in the odd-mass nuclei $^{141, 143, 145}$ Xe, are determined based on the axially symmetric quadrupole-octupole deformation-constrained self-consistent mean-field calculations with a choice of the energy density functional and pairing interaction. Strength parameters of the boson-fermion interactions are empirically determined to reproduce a few low-lying levels of each odd-mass nucleus. The mean-field calculation predicts for $^{142}$ Xe a potential energy surface that is notably soft in the octupole deformation with a non-zero octupole global minimum. The octupole correlations are shown to be relevant in positive-parity excited states of $^{143, 145}$ Xe.
Comments:
13 pages, 9 figures, 9 tables
Subjects:
Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:
2411.01262 [pdf]
PRC(2024)·4 citations
04
[Submitted on 2 Nov 2024]
Quark jet evolution: from classical to quantum simulation
Meijian Li🇪🇸
Quark jet provides one of the best ways to probe the matter produced in ultrarelativistic high-energy collisions, from cold nuclear matter to the hot quark-gluon plasma. In this proceeding paper, we review a series of works on the development of nonperturbative computational framework of in-medium quark jet evolution, from classical to quantum simulation. The application of the time-dependent Basis Light-front Quantization (tBLFQ), a nonperturbative computational approach based on light-front Hamiltonian formalism, to in-medium jet evolution enables a fully quantum treatment to the jet state on the amplitude level. Based on the tBLFQ framework, with applying novel quantum technologies, we have constructed a digital quantum circuit that tracks the evolution of a multi-particle jet probe within a stochastic color background field. With the obtained simulation results, we extracted the medium induced modification in terms of jet momentum broadening and gluon production. These studies provide a baseline for future works of in-medium jet evolution using quantum computers.
Comments:
Proceeding of LHCP 2024
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph); Quantum Physics (quant-ph)
arXiv:
2411.01318 [pdf]
PoS(2025)·3 citations
05
[Submitted on 3 Nov 2024]
Shannon entropy of optimized proton-neutron pair condensates
Shu-Yuan Liang · Yi Lu · Yang Lei · Calvin W. Johnson · Guan-Jian Fu · Jia Jie Shen
Proton-neutron pairing and like-nucleon pairing are two different facets of atomic nuclear configurations. While like-nucleon pair condensates manifest their superfluidic nature in semi magic nuclei, it is not absolutely clear if there exists a T=0 proton-neutron pair condensate phase in $N = Z$ nuclei. With an explicit formalism of general pair condensates with good particle numbers, we optimize proton-neutron pair condensates for all $N = Z$ nuclei between $^{16}$ O and $^{100}$ Sn, given shell model effective interactions. As comparison, we also optimize like-nucleon pair condensates for their semi-magic isotones. Shannon entanglement entropy is a measurement of mixing among pair configurations, and can signal intrinsic phase transition. It turns out the like-nucleon pair condensates for semi-magic nuclei have large entropies signaling an entangled phase, but the proton-neutron pair condensates end up not far from a Hartree-Fock solution, with small entropy. With artificial pairing interaction strengths, we show that the general proton-neutron pair condensate can transit from an entangled T=1 phase to an entangled T=0 phase, i.e. pairing phase transition driven by external parameters. In the T=0 limit, the proton-neutron pair condensate optimized for $^{24}$ Mg turns out to be a purely P pair condensate with large entanglement entropy, although such cases may occur in cold atom systems, unlikely in atomic nuclei.
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2411.01439 [pdf]
PRC(2025)·9 citations
06
[Submitted on 3 Nov 2024]
Transitions To Door-way States And Nuclear Responses Against 2-body External Fields
Futoshi Minato
Nuclear microscopic structural models that treat two-body effective interactions self-consistently becomes available, one of which is second-random-phase-approximation (SRPA). SRPA can be used to study evolutions from 1 particle-1 hole (1p1h) to 2 particle-2 hole (2p2h) states from different point of view from reaction models. We studied nuclear excitations created by 1-body and 2-body external fields and discuss transitions between 1p1h and 2p2h states obtained by the SRPA approach.
Comments:
5 pages, 8 figures, proceedings for CNR*24
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2411.01709 [pdf]
EPJ Web Conf.(2025)·0 citations
07
[Submitted on 3 Nov 2024]
The role of intermediate $ΔΔ$ states in nucleon-nucleon scattering in the large- $N_{c}$ and unitary limits, and $ΔΔ$ and $ΩΩ$ scattering
Thomas R. Richardson🇺🇸 · Matthias R. Schindler🇺🇸 · Roxanne P. Springer🇺🇸
We explore potential explanations for why using large- $N_{c}$ ( $N_{c}$ is the number of colors) scaling to determine the relative size of few-nucleon low-energy operators agrees with experiment even when dynamical $Δ$ 's are not explicitly included. Given that the large- $N_{c}$ analysis is predicated on the nucleons and $Δ$ 's being degenerate, this is a curious result. We show that for purely $S$ -wave interactions the relationships dictated by large- $N_{c}$ scaling are unaffected whether the $Δ$ is included or not. In the case of higher partial waves that do not mix with $S$ -waves, the impact of the $Δ$ is perturbative, which makes the agreement with naive ( $Δ$ -less) large- $N_{c}$ ordering unsurprising. For higher partial waves that mix with $S$ -waves, the nucleon and $Δ$ would need to decouple to get agreement with naive large- $N_{c}$ ordering. We find all $N N$ , $Δ N$ , and $ΔΔ$ low energy coefficients for leading-order baryon-baryon scattering in $Δ$ -full pionless effective field theory in terms of the two independent parameters dictated by the SU( $2 F$ ) spin-flavor symmetry that arises in the $N_{c} \to \infty$ limit. Because of recent lattice QCD results and experimental interest, we extend our analysis to the three-flavor case to study $ΩΩ$ scattering. We show that in the unitary limit (where scattering lengths become infinite) one of the two SU( $2 F$ ) parameters is driven to zero, resulting in enhanced symmetries, which agree with those found in spin-1/2 entanglement studies.
Comments:
33 pages, two figures, version accepted for publication in Journal of Physics G
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
arXiv:
2411.01715 [pdf]
J.Phys.G(2025)·5 citations
08
[Submitted on 4 Nov 2024]
Investigation of entanglement in $N = Z$ nuclei within no-core shell model
Chandan Sarma · Praveen C. Srivastava
In this work, we explore the entanglement structure of two $N = Z$ nuclei, $^{20}$ Ne and $^{22}$ Na using single-orbital entanglement entropy within the No-Core Shell Model (NCSM) framework for two realistic interactions, INOY and N $^{3}$ LO. We begin with the determination of the optimal frequencies based on the variation of ground-state (g.s.) binding energy with NCSM parameters, $N_{ma x}$ and $ℏΩ$ , followed by an analysis of the total single-orbital entanglement entropy, $S_{t o t}$ , for the g.s. of $^{20}$ Ne and $^{22}$ Na. Our results show that $S_{t o t}$ increases with $N_{ma x}$ and decreases with $ℏΩ$ after reaching a maximum. We use $S_{t o t}$ to guide the selection of an additional set of optimal frequencies that can enhance electromagnetic transition strengths. We also calculate the low-energy spectra and $S_{t o t}$ for four low-lying states of $^{20}$ Ne and six low-lying states of $^{22}$ Na. Finally, we calculate a few $E 2$ and one $M 1$ transition strengths, finding that N $^{3}$ LO provides better results for $B (E 2; 5_{1}^{+} \to 3_{1}^{+}$ ) and INOY performs well for the $B (M 1; 0_{1}^{+} \to 1_{1}^{+})$ transition in the $^{22}$ Na nucleus while considering the first set of optimal frequencies. We also observe that the second set of optimal frequencies enhances electromagnetic transition strengths, particularly for the states with large and comparable $S_{t o t}$ . Also, for both nuclei, the $S_{t o t}$ for INOY and N $^{3}$ LO are close while considering the second set of optimal frequencies, suggesting that the calculated $S_{t o t}$ are more dependent on $ℏΩ$ than the interactions employed for the same model space defined by the $N_{ma x}$ parameter.
Comments:
15 pages, 5 figures
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2411.01861 [pdf]
NPA(2026)·4 citations
09
[Submitted on 4 Nov 2024]
Folding procedure for $Ω$ - $α$ potential
Igor Filikhin🇺🇸 · Roman Ya. Kezerashvili🇺🇸 · Branislav Vlahovic🇺🇸
Using the folding procedure, we investigate the bound state of the $Ω$ + $α$ system based on $Ω$ - $N$ ( $^{5} S_{2}$ ) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong $Ω$ -nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, and the central HAL QCD $Ω$ - $N$ potential, we performed numerical calculations for the folding $Ω$ - $α$ potential. Our results show that the $V_{Ω α} (r)$ potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter $R = 1.1 A^{1/3} \approx 1.74$ fm ( $A = 4$ ) in the asymptotic region where $2 < r < 3$ fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the $Ω$ + $α$ system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the $Ξ$ - $α$ folding potential based on a simulation of the ESC08c $Y$ - $N$ Nijmegen model. A comprehensive comparison between the $Ξ$ - $α$ folding and $Ξ$ - $α$ phenomenological potentials is presented and discussed.
Comments:
9 pages, 3 Figures
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Lattice (hep-lat)
arXiv:
2411.02021 [pdf]
Few Body Syst.(2025)·7 citations

Affiliations

first authorsco-authorsvia INSPIRE