Nucleon-nucleon wave function with short-range nodes and high-energy deuteron photodisintegration

Khokhlov, N. A.; Knyr, V. A.; Neudatchin, V. G.

doi:10.1103/physrevc.75.064001

Cited by 12 publications

(9 citation statements)

References 59 publications

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“…Also recently, large c.m. angle photodisintegration of the deuteron for photon energies up to 2 GeV was calculated within point-form relativistic quantum mechanics approximation [21] in which the strength of the reaction was determined by short range properties of the NN interaction potential.…”

Section: Introductionmentioning

confidence: 99%

Hard breakup of two nucleons from theHe3nucleus

Sargsian

Granados

2009

Phys. Rev. C

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We investigate a large angle photodisintegration of two nucleons from the 3 He nucleus within the framework of the hard rescattering model (HRM). In the HRM a quark of one nucleon knocked out by an incoming photon rescatters with a quark of the other nucleon leading to the production of two nucleons with large relative momentum. Assuming the dominance of the quark-interchange mechanism in a hard nucleon-nucleon scattering, the HRM allows the expression of the amplitude of a two-nucleon break-up reaction through the convolution of photon-quark scattering, N N hard scattering amplitude and nuclear spectral function which can be calculated using a nonrelativistic 3 He wave function. The photon-quark scattering amplitude can be explicitly calculated in the high energy regime, whereas for N N scattering one uses the fit of the available experimental data. The HRM predicts several specific features for the hard breakup reaction. First, the cross section will approximately scale as s −11 . Secondly, the s 11 weighted cross section will have the shape of energy dependence similar to that of s 10 weighted N N elastic scattering cross section. Also one predicts an enhancement of the pp breakup relative to the pn breakup cross section as compared to the results from low energy kinematics. Another result is the prediction of different spectator momentum dependencies of pp and pn breakup cross sections. This is due to the fact that samehelicity pp-component is strongly suppressed in the ground state wave function of 3 He. Because of this suppression the HRM predicts significantly different asymmetries for the cross section of polarization transfer N N breakup reactions for circularly polarized photons. For the pp breakup this asymmetry is predicted to be zero while for the pn it is close to 2 3 .

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Section: Introductionmentioning

confidence: 99%

Hard breakup of two nucleons from theHe3nucleus

Sargsian

Granados

2009

Phys. Rev. C

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“…So, the deuteron photodisintegration reaction γd → pn follows the s −11 scaling behaviour at photon energies E γ = 1 − 4 GeV and large scattering angles θ cm ∼ 90 • corresponding to high transversal momenta p T > 1.1 GeV/c [9,10,11,12,13,14,15,16]. Mesonexchange models fail to explain the γd → pn data at E γ > 1 GeV (see, for example, [12]), and therefore several nonperturbative theoretical models were suggested [17]- [19], [20]. Since the pQCD is expected to be valid at much higher transferred momenta [21], the origin of the observed scaling behaviour in the reactions with the deuteron at moderate energies is unclear.…”

Section: Existing Datamentioning

confidence: 99%

Search for scaling onset in exclusive reactions with the lightest nuclei

Uzikov

2016

Eur. Phys. J. A

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Abstract. The dimensional scaling of the differential cross sections of binary reactions dσ/dt ∼ s −(n−2) , where n is given by constituent quark counting rules, was predicted for asymptotically high energies √ s ≫ mi and transferred momenta −t ≫ mi at t/s = const (here s and t are the Mandelstam variables and mi denotes a hadron mass), but manifested itself at surprisingly moderate energies of few GeV at large fixed cms angles θcm ∼ 90• . This behaviour is observed not only in reactions with free hadrons, but with the deuteron and 3 He too both for electromagnetic and pure hadronic interactions. One may suppose that observed scaling points out to effective restoration of near-conformal and, probably, chiral symmetry in these processes. A systematical experimental study of the scaling behaviour of the reactions with the deuteron, 3 H, 3 He, and 4 He nuclei is still absent. We consider a possibility to carry out this study in dd collisions at the JINR Nuclotron.PACS. 25.10.+s, Nuclear reactions involving few-nucleon systems -24.85.+p, Quarks, gluons, and QCD in nuclear reactions 25.55.-e, 2H-induced reactions

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“…This expansion allows one to obtain an analytical solution to the Marchenko equation (Bargmantype potentials). Optical model nucleon-nucleon partial potentials were recovered from PWA data up to 3 GeV using a similar approach [15,16]. It is not clear whether such a procedure converges with an increase in the Smatrix approximation accuracy.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the Marchenko equation is solved analytically as in Refs. [13][14][15][16]. The expansion coefficients of the integral kernel are obtained from the Fourier series coefficients of the function q (1 − S(q)) on a finite range (0 ≤ q ≤ π/h) of the momentum q.…”

Section: Introductionmentioning

confidence: 99%

An algebraic form of the Marchenko inversion. Partial waves with orbital momentum $l\ge 0$

Khokhlov¹

2021

Preprint

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We present a generalization of the algebraic method for solving the Marchenko equation (fixed-l inversion) for any values of the orbital angular momentum l. We expand the Marchenko equation kernel in a separable form using a triangular wave set. The separable kernel allows a reduction of the equation to a system of linear equations. We obtained a linear expression of the kernel expansion coefficients in terms of the Fourier series coefficients of q(1 − S(q)) function (S(q) is the scattering matrix) depending on the momentum q. The linear expression is valid for any orbital angular momentum l. The kernel expansion coefficients are determined by the scattering data in the finite range 0 ≤ q ≤ π/h. In turn, the thus defined Marchenko kernel of the equation allows one to find the potential function of the radial Schrödinger equation with h-step accuracy.

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Nucleon-nucleon wave function with short-range nodes and high-energy deuteron photodisintegration

Cited by 12 publications

References 59 publications

Hard breakup of two nucleons from theHe3nucleus

Hard breakup of two nucleons from theHe3nucleus

Search for scaling onset in exclusive reactions with the lightest nuclei

An algebraic form of the Marchenko inversion. Partial waves with orbital momentum $l\ge 0$

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