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It is to provide a block copolymer and its copolymer composition which provides a heat shrinkable (multilayer) film with less spontaneous shrinkage while maintaining favorable low temperature shrinkability, and a heat shrinkable (multilayer) film containing the block copolymer. By using a block copo

It is to provide a block copolymer and its copolymer composition which provides a heat shrinkable (multilayer) film with less spontaneous shrinkage while maintaining favorable low temperature shrinkability, and a heat shrinkable (multilayer) film containing the block copolymer. By using a block copolymer comprising a vinyl aromatic hydrocarbon and a conjugated diene characterized in that the relation of the loss tangent value obtained by dynamic viscoelasticity measurement with the temperature satisfies specific conditions, or a composition containing the copolymer composition as an essential component, a heat shrinkable (multilayer) film with less spontaneous shrinkability and less odor while maintaining favorable low temperature shrinkability can be obtained.

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1. A block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature satisfies the following conditions:(1) there is at least one maximum value within a temperature r

1. A block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature satisfies the following conditions:(1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value. 2. The block copolymer (A) according to claim 1, wherein in the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature, there is at least one maximum value within a temperature range of from 65 to 100° C., and the conditions (2) and (3) defined are satisfied.3. The block copolymer (A) according to claim 1, wherein in the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature, the highest maximum value of loss tangent within a temperature range of from 60 to 110° C. is within a range of from 0.5 to 4.0, and the loss tangent value at 30° C. is within a range of at least 0.01 and less than 0.4.4. The block copolymer (A) according to claim 1, wherein the molecular structure is represented by the following formula, its weight average molecular weight is from 100,000 to 300,000, and the following conditions (a) to (c) are satisfied:X?(Y?X)n wherein n is an integer of at least 1: (a) X is a block having a chain comprising one type or at least two types of vinyl aromatic hydrocarbons, (b) Y is a block containing at least one random copolymer segment of a conjugated diene and a vinyl aromatic hydrocarbon, each being of one type or at least two types, having a weight average molecular weight of from 40,000 to 250,000, and (c) when a molecular weight distribution of a polymer mixture comprising a vinyl aromatic hydrocarbon obtained by ozonolysis of the block copolymer is measured, the relation between the weight average molecular weight (Mw′) of the polymer component showing the highest peak and the weight average molecular weight (Mw) of the block copolymer before the treatment is 0.1?Mw′/Mw?0.4. 5. A block copolymer composition containing at least two types of the different block copolymers (A) which satisfy the conditions as defined in claim 1.6. A block copolymer composition containing at least two types of the different block copolymers (A) which satisfy the conditions as defined in claim 1, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement of the composition to the temperature satisfies conditions (1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value.7. A block copolymer composition containing at least two types of the different block copolymers (A) which satisfy the conditions as defined in claim 4, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature satisfies conditions (1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value.8. A block copolymer composition containing the block copolymer (A) as defined in claim 1 and a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3):(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 9. A block copolymer composition containing the block copolymer (A) as defined in claim 1 and a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3), wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement of the composition to the temperature satisfies the conditions (1) to (3) defined:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 10. A block copolymer composition comprising a composition of the block copolymer (A) as defined in claim 1 and the following block copolymer (A2) in a compositional ratio by weight of 0.1?A/(A+A2)?0.95:the block copolymer (A2) is a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene, wherein in the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature, there is at least one maximum value within a temperature range of from 63 to 120° C., and the lowest temperature for the maximum value of the loss tangent value within said range is higher by at least 3° C. than the lowest temperature for the maximum value of the loss tangent value of the block copolymer (A). 11. A block copolymer composition comprising a composition of the block copolymer (A) as defined in claim 1 and the following block copolymer (A2) in a compositional ratio by weight of 0.1?A/(A+A2)?0.95, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement of the composition to the temperature satisfies the conditions (1) to (3) defined:the block copolymer (A2) is a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene, wherein in the relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature, there is at least one maximum value within a temperature range of from 63 to 120° C., and the lowest temperature for the maximum value of the loss tangent value within said range is higher by at least 3° C. than the lowest temperature for the maximum value of the loss tangent value of the block copolymer (A). 12. A composition containing the block copolymer composition as defined in claim 10 and at least one vinyl aromatic hydrocarbon polymer selected from the following polymers (B1) to (B3) in an amount of at most 100 parts by weight based on 100 parts by weight of the block copolymer composition:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A) and the block copolymer (A2)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 13. A composition containing the block copolymer composition as defined in claim 10 and at least one vinyl aromatic hydrocarbon polymer selected from the following polymers (B1) to (B3) in an amount of at most 100 parts by weight based on 100 parts by weight of the block copolymer composition, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement of the composition to the temperature satisfies conditions (1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A) and the block copolymer (A2)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 14. A block copolymer composition comprising the block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene as defined in claim 1 and having a weight average molecular weight Mw1 within a range of 100,000?Mw1?300,000, and a block copolymer (A3) comprising a vinyl aromatic hydrocarbon and a conjugated diene and having a weight average molecular weight Mw2 in relation to Mw1 within a range of 0.1 ?Mw2/Mw1?0.85, wherein the compositional ratio by weight of (A) to (A3) is within a range of 0.1<A/(A+A3)<0.9.15. A block copolymer composition comprising the block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene as defined in claim 1 and having a weight average molecular weight Mw1 within a range of 100,000?Mw1?300,000, and a block copolymer (A3) comprising a vinyl aromatic hydrocarbon and a conjugated diene and having a weight average molecular weight Mw2 in relation to Mw1 within a range of 0.1 ?Mw2/Mw1?0.85, wherein the compositional ratio by weight of (A) to (A3) is within a range of 0.1<A/(A+A3)<0.9, and wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement of the composition to the temperature satisfies conditions (1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value.16. A composition containing the block copolymer composition as defined in claim 4 and a vinyl aromatic hydrocarbon polymer containing at lest one of the following (B1) to (B3) in an amount of at most 100 parts by weight based on 100 parts by weight of the block copolymer composition:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A) and the block copolymer (A3)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 17. A composition containing the block copolymer composition as defined in claim 8 and a vinyl aromatic hydrocarbon polymer containing at least one of the following (B1) to (B3) in an amount of at most 100 parts by weight based on 100 parts by weight of the block copolymer composition, wherein the relation of the loss tangent value obtained by dynamic viscoelasticity measurement of the composition to the temperature satisfies conditions (1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A) and the block copolymer (A3)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (A) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 18. A film or sheet made of the block copolymer or the copolymer composition as defined in claim 1.19. A heat shrinkable film made of the block copolymer or the block copolymer composition as defined in claim 1.20. A heat shrinkable film obtained by orienting the film or sheet as defined in claim 18.21. A multilayer film or multilayer sheet having at least one layer made of the block copolymer or the copolymer composition as defined in claim 1.22. A heat shrinkable multilayer film employing the block copolymer or the block copolymer composition as defined in claim 8 for at lest one layer.23. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 21.24. A multilayer film or multilayer sheet having a layer containing the block copolymer (A) as defined in claim 5, as a surface layer, and a layer formed by a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3), as a layer other than the surface layer:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 25. A multilayer film or multilayer sheet having a layer formed by a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3), as a surface layer, and a layer containing the block copolymer (A) as defined in claim 5, as a layer other than the surface layer:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene (excluding the block copolymer (A)), (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 26. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 24.27. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 25.28. A multilayer film or multi layer sheet having at least one layer obtained by mixing 100 parts by weight of a composition composed mainly of a block copolymer (A), with at most 50 parts by weight (0 part by weight not included) of a resin mixture forming the multilayer film or multilayer sheet and/or the heat shrinkable multilayer film as defined in claim 23, said block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene, and having a relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature which satisfies the following conditions (1) to (3):(1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value. 29. A multilayer film or multilayer sheet obtained by mixing 100 parts by weight of a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3) with at most 50 parts by weight (0 part by weight not included) of a resin mixture forming the multilayer film or multilayer sheet and/or the heat shrinkable multilayer film as defined in claim 23:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene, (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 30. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 28.31. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 29.32. A method for producing the block copolymer (A) as defined in claim 1, which comprises a step of adding a vinyl aromatic hydrocarbon and/or a conjugated diene as a monomer as mixed or separately, simultaneously, and intermittently or continuously, to the reaction system so that the feed rate of the monomer is substantially lower than the polymerization reaction rate, to polymerize the random copolymer segment, in anionic polymerization employing an organic lithium compound as the polymerization initiator in an organic solvent.33. A method for producing the block copolymer (A) as defined in claim 1, which comprises a step of adding a vinyl aromatic hydrocarbon and/or a conjugated diene as a monomer as mixed or separately, simultaneously, and intermittently or continuously, in the presence of a randomizing agent to polymerize the random copolymer segment, in anionic polymerization employing an organic lithium compound as the polymerization initiator in an organic solvent.34. A film or sheet made of the block copolymer or the copolymer composition as defined in claim 5.35. A film or sheet made of the block copolymer or the copolymer composition as defined in claim 8.36. A heat shrinkable film made of the block copolymer or the block copolymer composition as defined in claim 5.37. A heat shrinkable film made of the block copolymer or the block copolymer composition as defined in claim 8.38. A heat shrinkable film obtained by orienting the film or sheet as defined in claim 34.39. A heat shrinkable film obtained by orienting the film or sheet as defined in claim 35.40. A multilayer film or multilayer sheet having at least one layer made of the block copolymer or the copolymer composition as defined in claim 5.41. A multilayer film or multilayer sheet having at least one layer made of the block copolymer or the copolymer composition as defined in claim 8.42. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 40.43. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 41.44. A multilayer film or multilayer sheet having at least one layer obtained by mixing 100 parts by weight of a composition composed mainly of a block copolymer (A), with at most 50 parts by weight (0 part by weight not included) of a resin mixture forming the multilayer film or multilayer sheet and/or the heat shrinkable multilayer film as defined in claim 42, said block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene, and having a relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature which satisfies the following conditions (1) to (3):(1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value. 45. A multilayer film or multilayer sheet having at least one layer obtained by mixing 100 parts by weight of a composition composed mainly of a block copolymer (A), with at most 50 parts by weight (0 part by weight not included) of a resin mixture forming the multilayer film or multilayer sheet and/or the heat shrinkable multilayer film as defined in claim 43, said block copolymer (A) comprising a vinyl aromatic hydrocarbon and a conjugated diene, and having a relation of the loss tangent value obtained by dynamic viscoelasticity measurement to the temperature which satisfies the following conditions (1) to (3):(1) there is at least one maximum value within a temperature range of from 60 to 110° C., (2) the value of loss tangent at a temperature lower by 10° C. than the lowest temperature for the maximum value is at most 40% of the highest maximum value, and (3) the value of loss tangent at a temperature lower by 30° C. than the lowest temperature is at most 10% of the highest maximum value. 46. A multilayer film or multilayer sheet obtained by mixing 100 parts by weight of a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3) with at most 50 parts by weight (0 part by weight not included) of a resin mixture forming the multilayer film or multilayer sheet and/or the heat shrinkable multilayer film as defined in claim 42:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene, (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 47. A multilayer film or multilayer sheet obtained by mixing 100 parts by weight of a vinyl aromatic hydrocarbon polymer containing at least one member selected from the following polymers (B1) to (B3) with at most 50 parts by weight (0 part by weight not included) of a resin mixture forming the multilayer film or multilayer sheet and/or the heat shrinkable multilayer film as defined in claim 43:(B1) a vinyl aromatic hydrocarbon polymer, (B2) a block copolymer of a vinyl aromatic hydrocarbon and a conjugated diene, (B3) a rubber-modified transparent resin which is a composition of a copolymer (a) comprising a vinyl aromatic hydrocarbon and a (meth)acrylate and having a refractive index of from 1.550 to 1.580 at a temperature of 23° C., and a rubber-like elastic body (b) having a refractive index of from 1.535 to 1.550 at a temperature of 23° C., wherein the copolymer (a) forms a continuous phase and the rubber-like elastic body (b) forms a disperse phase, and the weight ratio is (a)/(b)=60/40 to 97/3. 48. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 44.49. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 45.50. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 46.51. A heat shrinkable multilayer film obtained by orienting the multilayer film or multilayer sheet as defined in claim 47.