<i>Ab initio</i>
 leading order effective potentials for elastic nucleon-nucleus scattering

Burrows, M.; Baker, Robert; Elster, Ch.; Weppner, S. P.; Launey, Kristina D.; Maris, Pieter; Popa, Gabriela

doi:10.1103/physrevc.102.034606

Cited by 32 publications

(35 citation statements)

References 53 publications

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“…(1-6) and our algebraic form of the Marchenko equation Eqs. (7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18) to reconstruct local, and energy-independent OP from an absorbing S-matrix and corresponding bound states' characteristics. We present an absorptive single partial channel S-matrix on the q-axis as…”

Section: Energy-independent Optical 1 S0n N Potentialmentioning

confidence: 99%

“…The concept of optical potential (OP) is a useful tool in many branches of nuclear physics. There are a number of microscopically derived [8][9][10][11][12][13][14][15][16][17][18][19][20][21] as well as phenomenological [12,19,[23][24][25][26][27][28][29][30] optical potentials used for description of nuclei and nuclear reactions. Nucleon-nucleon potentials are used as an input for (semi)microscopic descriptions of nuclei and nuclear reactions [8,9,12,17,19,21,26].…”

Section: Introductionmentioning

confidence: 99%

“…There are a number of microscopically derived [8][9][10][11][12][13][14][15][16][17][18][19][20][21] as well as phenomenological [12,19,[23][24][25][26][27][28][29][30] optical potentials used for description of nuclei and nuclear reactions. Nucleon-nucleon potentials are used as an input for (semi)microscopic descriptions of nuclei and nuclear reactions [8,9,12,17,19,21,26]. We analyzed the Marchenko theory [2,3] and found that it is applicable not only to unitary Smatrices but also to non-unitary S-matrices describing absorption.…”

Section: Introductionmentioning

confidence: 99%

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Energy-independent optical $^{1}S_{0}NN$ potential from Marchenko equation

Khokhlov,

Studenikina

2021

Preprint

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We present a new algebraic method for solving the inverse problem of quantum scattering theory based on the Marchenko theory. We applied a triangular wave set for the Marchenko equation kernel expansion in a separable form. The separable form allows a reduction of the Marchenko equation to a system of linear equations. For the zero orbital angular momentum, a linear expression of the kernel expansion coefficients is obtained in terms of the Fourier series coefficients of a function depending on the momentum q and determined by the scattering data in the finite range of q. It is shown that a Fourier series on a finite momentum range (0 < q < π/h) of a q(1 − S) function (S is the scattering matrix) defines the potential function of the corresponding radial Schrödinger equation with h-step accuracy. A numerical algorithm is developed for the reconstruction of the optical potential from scattering data. The developed procedure is applied to analyze the 1 S0N N data up to 3 GeV. It is shown that these data are described by optical energy-independent partial potential.

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Section: Energy-independent Optical 1 S0n N Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Energy-independent optical $^{1}S_{0}NN$ potential from Marchenko equation

Khokhlov,

Studenikina

2021

Preprint

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“…For the potential kernel, we consider only the part that involves the projectile and a single nucleon in the target (similarly to Ref. [18]), that is, the potential kernel of particle-rank one, denoted here as V…”

Section: C)mentioning

confidence: 99%

“…The access to higher-lying shells makes the SA basis suitable for describing nuclear reactions [9], the processes that are typically studied in experiments and govern stellar evolution. Remarkable progress has been made in firstprinciple descriptions to scattering and nuclear reactions for light nuclei (for an overview, see [10,11]), including studies of elastic scattering [12][13][14][15][16][17][18], photoabsorption [19], transfer [20] and capture reactions [21], α widths [22,23] and resonant states [24], as well as thermonuclear fusion [25]. In this paper, we show that expanding the reach of ab initio reactions to deformed and heavier targets is now feasible with the SA basis.…”

mentioning

confidence: 99%

Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei

Mercenne,

Launey,

Dytrych

et al. 2021

Preprint

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We study the efficacy of a new ab initio framework that combines the symmetry-adapted (SA) no-core shell-model approach with the resonating group method (RGM) for unified descriptions of nuclear structure and reactions. We obtain ab initio neutron-nucleus interactions for 4 He, 16 O, and 20 Ne targets, starting with realistic nucleon-nucleon potentials. We discuss the effect of increasing model space sizes and symmetry-based selections on the SA-RGM norm and direct potential kernels, as well as on phase shifts, which are the input to calculations of cross sections. We demonstrate the efficacy of the SA basis and its scalability with particle numbers and model space dimensions, with a view toward ab initio descriptions of nucleon scattering and capture reactions up through the medium-mass region. I. INTRODUCTIONAb initio descriptions of spherical and deformed nuclei up through the calcium region are now possible within a no-core shell-model framework, by utilizing emerging symplectic symmetry in nuclei. In particular, the symmetry-adapted no-core shell-model (SA-NCSM) [1, 2] uses a physically relevant symmetry-adapted (SA) basis that can achieve significantly reduced model spaces compared to the corresponding complete ultra-large model spaces, without compromising the accuracy of results for various observables [1,3,4]. This enables the SA-NCSM to accommodate contributions from more shells and to describe heavier nuclei, such as 20 Ne [2], 21 Mg [5], 22 Mg [6], 28 Mg [7], as well as 32 Ne and 48 Ti [8,9]. The access to higher-lying shells makes the SA basis suitable for describing nuclear reactions [9], the processes that are typically studied in experiments and govern stellar evolution. Remarkable progress has been made in firstprinciple descriptions to scattering and nuclear reactions for light nuclei (for an overview, see [10,11]), including studies of elastic scattering [12][13][14][15][16][17][18], photoabsorption [19], transfer [20] and capture reactions [21], α widths [22,23] and resonant states [24], as well as thermonuclear fusion [25]. In this paper, we show that expanding the reach of ab initio reactions to deformed and heavier targets is now feasible with the SA basis.

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Modern Approaches to Optical Potentials

Holt¹,

Whitehead²

2022

Handbook of Nuclear Physics

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Ab initio leading order effective potentials for elastic nucleon-nucleus scattering

Cited by 32 publications

References 53 publications

Energy-independent optical $^{1}S_{0}NN$ potential from Marchenko equation

Energy-independent optical $^{1}S_{0}NN$ potential from Marchenko equation

Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei

Modern Approaches to Optical Potentials

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