dorsal/arxiv
View SchemaRelativistic Structure of the Deuteron: 1.Electro-disintegration and y-scaling
| Authors | C. Ciofi degli Atti, D. Faralli, A. Yu. Umnikov, L. P. Kaptari |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9809040 |
| URL | https://arxiv.org/abs/nucl-th/9809040 |
| DOI | 10.1103/PhysRevC.60.034003 |
| Journal | Phys.Rev.C60:034003,1999 |
Abstract
Realistic solutions of the spinor-spinor Bethe-Salpeter equation for the deuteron with realistic interaction kernel including the exchange of pi, sigma, omega, rho, eta and delta mesons, are used to systematically investigate relativistic effects in inclusive quasi-elastic electron-deuteron scattering within the relativistic impulse approximation. Relativistic y-scaling is considered by generalising the non relativistic scaling function to the relativistic case, and it is shown that y-scaling does occur in the usual relativistic scaling variable resulting from the energy conservation in the instant form of dynamics. The present approach of y-scaling is fully covariant, with the deuteron being described by eight components, viz. the 3S_1^{++}, 3S_1^{--}, 3D_1^{++}, 3D_1^{--}, 3P_1^{+-}, 3P_1^{-+}, 1P_1^{+-}, 1P_1^{-+} waves. It is demonstrated that if the negative relative energy states 1P_1, 3P_1 are disregarded, the concept of covariant momentum distributions N(p_0,p), with p_0=M_D/2-\sqrt{p^2+m^2}, can be introduced, and that calculations of lectro-disintegration cross section in terms of these distributions agree within few percents with the exact calculations which include the 1P_1, 3P_1 states, provided the nucleon three momentum |p|\<= 1 GeV/c; in this momentum range, the asymptotic relativistic scaling function is shown to coincide with the longitudinal covariant momentum distribution.
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"abstract": "Realistic solutions of the spinor-spinor Bethe-Salpeter equation for the\ndeuteron with realistic interaction kernel including the exchange of pi, sigma,\nomega, rho, eta and delta mesons, are used to systematically investigate\nrelativistic effects in inclusive quasi-elastic electron-deuteron scattering\nwithin the relativistic impulse approximation. Relativistic y-scaling is\nconsidered by generalising the non relativistic scaling function to the\nrelativistic case, and it is shown that y-scaling does occur in the usual\nrelativistic scaling variable resulting from the energy conservation in the\ninstant form of dynamics. The present approach of y-scaling is fully covariant,\nwith the deuteron being described by eight components, viz. the 3S_1^{++},\n3S_1^{--}, 3D_1^{++}, 3D_1^{--}, 3P_1^{+-}, 3P_1^{-+}, 1P_1^{+-}, 1P_1^{-+}\nwaves. It is demonstrated that if the negative relative energy states 1P_1,\n3P_1 are disregarded, the concept of covariant momentum distributions N(p_0,p),\nwith p_0=M_D/2-\\sqrt{p^2+m^2}, can be introduced, and that calculations of\nlectro-disintegration cross section in terms of these distributions agree\nwithin few percents with the exact calculations which include the 1P_1, 3P_1\nstates, provided the nucleon three momentum |p|\\\u003c= 1 GeV/c; in this momentum\nrange, the asymptotic relativistic scaling function is shown to coincide with\nthe longitudinal covariant momentum distribution.",
"arxiv_id": "nucl-th/9809040",
"authors": [
"C. Ciofi degli Atti",
"D. Faralli",
"A. Yu. Umnikov",
"L. P. Kaptari"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.034003",
"journal_ref": "Phys.Rev.C60:034003,1999",
"title": "Relativistic Structure of the Deuteron: 1.Electro-disintegration and y-scaling",
"url": "https://arxiv.org/abs/nucl-th/9809040"
},
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