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Mustafa, Mustafa M.; Zahran, Elbadry S.

doi:10.1103/physrevc.38.2416

Cited by 9 publications

(9 citation statements)

References 18 publications

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“…[3,4]). With this new expression for the nonlocal tensor potential, we shall consider further the work presented in ref.…”

Section: F(r R') = 2rg(r)9(r')mentioning

confidence: 97%

“…With this new expression for the nonlocal tensor potential, we shall consider further the work presented in ref. [4]. The radial Schr6dinger equation given in that paper has to be modified for two reasons: (i) the value of -1 for the matrix element given above and (ii) the contribution of the spin-spin nonlocality Vff which, unlike the spin-spin local term, cannot be absorbed into the central term.…”

Section: F(r R') = 2rg(r)9(r')mentioning

confidence: 97%

“…However, the nonlocal potential given in ref. [4] does not satisfy the requirements * Dedicated to Profs. Erich Schmid and Ivo Slaus on the occasion of their 60th birthdays of time-reversal invariance, since it has the form Vr(r, r') = Sr(~)G(r, r') where only G(r, r') is symmetric in r and r'.…”

Section: Introductionmentioning

confidence: 98%

“…There have been many accounts of work in which the complete potential is expressed in terms of separable potentials, cf., for example, the early work of Yamaguchi [1] and the Graz [2] group. Attempts have also been made [3][4][5] to describe neutronproton scattering and the static properties of the deuteron by means of a local potential which has the correct OPEP tail together with a nonlocal potential, usually repulsive, to account for the finite size of the nucleon, in a similar manner to that for the c~-c~ interaction and the nucleonic structure of the a-particle [6]. Such a potential may also be obtained by making a unitary transformation of the Schr6dinger equation [5,7,8], although it is not common to display the transformed potential, only the transformed wave functions [9].…”

Section: Introductionmentioning

confidence: 99%

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The nonlocal tensor operatorS 12 N (?, ??)

Mustafa

Kermode

1991

Few-Body Systems

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Abstract. The extension of the tensor potential S 12 VT(r) to the case of a nonlocal interaction is shown to be Vr(r, r') = S~2F(r , r')where p = r/r. This potential has the necessary invariance properties provided that F(r, r') = F(r', r). With this potential and F(r, r') taken to have a rank-one separable form, the behaviour of the model-deuteron radius with respect to the strength of the tensor nonlocality is investigated. It is found that the model radius decreases as the tensor nonlocality becomes more attractive. This is consistent with recent work which considers only central nonlocality.

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“…[3,4]). With this new expression for the nonlocal tensor potential, we shall consider further the work presented in ref.…”

Section: F(r R') = 2rg(r)9(r')mentioning

confidence: 97%

Section: F(r R') = 2rg(r)9(r')mentioning

confidence: 97%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The nonlocal tensor operatorS 12 N (?, ??)

Mustafa

Kermode

1991

Few-Body Systems

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“…, Table III in Ref. [35]). On the other hand, Kermode et al [36,37] showed that an inclusion of an attractive short-range nonlocal component in the S-state radial equation will decrease rD and hence will help in fitting simultaneously both the experimental values of rD and a, .…”

Section: Introductionmentioning

confidence: 92%

Extracting a value of the deuteron radius by reanalysis of the experimental data

et al. 1992

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A new value, rD=1.9546+0.0021 fm, for the rms radius of the deuteron has been extracted by reanalyzing the experimental data for the ratio R (q ) of the deuteron to proton electric form factors and for the slope of the neutron electric form factor GE"(q') at q'=0. The short-range structures in the radia1 deuteron wave functions found for a certain class of potentials (e.g. , Kermode et al. and potential models presented here) cause an increase in the model values of the deuteron charge form factor CE{q ), but have no special features in the variation of Cz(q ) with q . A new method for calculating CE(q ) accurately is presented.PACS number(s): 21.30. +y, 13.75.Cs, 21.45.+v, 21.10.Ft

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Solution of the two-nucleons Schrödinger equation with nonlocal tensor potential in the 3S1-3D1 state

Mustafa¹,

Zahran²,

Zahran³

1989

Computer Physics Communications

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Nucleon-nucleon interaction with nonlocal tensor contribution for theS13
Mustafa M. Mustafa
¹
,
Elbadry S. Zahran
²

Cited by 9 publications

References 18 publications

The nonlocal tensor operatorS 12 N (?, ??)

The nonlocal tensor operatorS 12 N (?, ??)

Extracting a value of the deuteron radius by reanalysis of the experimental data

Solution of the two-nucleons Schrödinger equation with nonlocal tensor potential in the 3S1-3D1 state

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Nucleon-nucleon interaction with nonlocal tensor contribution for theS13Mustafa M. Mustafa1, Elbadry S. Zahran2

Cited by 9 publications

References 18 publications

The nonlocal tensor operatorS 12 N (?, ??)

The nonlocal tensor operatorS 12 N (?, ??)

Extracting a value of the deuteron radius by reanalysis of the experimental data

Solution of the two-nucleons Schrödinger equation with nonlocal tensor potential in the 3S1-3D1 state

Contact Info

Product

Resources

About

Nucleon-nucleon interaction with nonlocal tensor contribution for theS13
Mustafa M. Mustafa
¹
,
Elbadry S. Zahran
²